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STUDIO KAMADA

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News and updates, November 2006

Nov 30, 2006

By Yousuke Koide / GMP-ECM
10⁶⁹³+1 = 1(0)₆₉₂1_<694> = 7² · 11² · 13 · 19 · 23 · 127 · 463 · 2689 · 4093 · 8317 · 8779 · 24179 · 52579 · 459691 · 590437 · 648649 · 909091 · 5274739 · 7444361 · 599144041 · 7093127053_<10> · 183411838171_<12> · 167940794674423_<15> · 4539402627853030477_<19> · 4924630160315726207887_<22> · 136094982876222218559943_<24> · 189772422673235585874485732659_<30> · 141122524877886182282233539317796144938305111168717_<51> · 803956626149925031112757148192164970057208483589704631288984124647169634536861236854805849361_<93> · C340
C340 = P37 · C304
P37 = 1992239470584165788605948879953926371_<37>
C304 = [4603184964734402473011132054574871768101384322818910046547748531884259027958267080342140972683398434286257762067178960349541200528618030240830132851782792895996117549551271815944610220256799485207702831103176523404549814416087930733678705878813258634914133639328074562923421485980890386223188429086045853_<304>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Nov 25, 2006 (2nd)

By Wataru Sakai / GMP-ECM 6.1
10¹⁸¹+9 = 1(0)₁₈₀9_<182> = 19² · 663883229598790612639169_<24> · C155
C155 = P34 · P122
P34 = 1972852879967879178904902617372213_<34>
P122 = 21149806574944880773112316633222849030124545193584976920415264370446417132428148912879467226040854694780865097353747249277_<122>

Nov 25, 2006

(25·10¹⁵³-1)/3 = 8(3)_153<154> = 13 · 135197 · 2146571139152631849772721_<25> · C124
C124 = P37 · P87
P37 = 5393541826404464811149133316798078361_<37>
P87 = 409533101044409088462546935359683563035408954430106138774390557254932874425892524573013_<87>

Number: test N=2208833909780146430450526784619613274824795703886149452683911106599445833442442008509253921427912994781563034774490439871693 ( 124 digits) SNFS difficulty: 154 digits. Divisors found: r1=5393541826404464811149133316798078361 (pp37) r2=409533101044409088462546935359683563035408954430106138774390557254932874425892524573013 (pp87) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 45.70 hours. Scaled time: 20.70 units (timescale=0.453). Factorization parameters were as follows: n: 2208833909780146430450526784619613274824795703886149452683911106599445833442442008509253921427912994781563034774490439871693 m: 5000000000000000000000000000000 c5: 8 c0: -1 skew: 1 type: snfsFactor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 1 ) Primes: RFBsize:176302, AFBsize:176058, largePrimes:5486213 encountered Relations: rels:5409505, finalFF:403557 Max relations in full relation-set: 0 Initial matrix: 352425 x 403557 with sparse part having weight 25966191. Pruned matrix : 321474 x 323300 with weight 19571072. Total sieving time: 40.29 hours. Total relation processing time: 0.39 hours. Matrix solve time: 4.61 hours. Time per square root: 0.41 hours. Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 45.70 hours. --------- CPU info (if available) ----------

Nov 22, 2006 (2nd)

By Yousuke Koide / GMP-ECM
10⁹⁴⁸+1 = 1(0)₉₄₇1_<949> = 73 · 137 · 170641 · 259121 · 73921249 · 99990001 · 57340465299866278297_<20> · 52201702278536187174995982385190339542840861545149808159731432186088602525064098418072959548867561425890781539716300154490510721563835995312133388810104710726015330140180100712831208243369704593632493581391545465384002703669518350982143743148868128174561205103289746036643410805299221918913812703969_<299> · C600
C600 = P34 · C566
P34 = 7766457159337484152304096869413649_<34>
C566 = [13160605651726332711824188828231198974781817449170107220843017244925292787555978722379682670875489051063645457879559843216704892378318231053991874231132340342953316014469870226734932565533810812418846304981368619810054475856949401252258566231884568535957089879450035409745536613986710956990658406048668451352905354578528814334680077095374009876604796822907072341585310879826779147173972597386594702857046340165047037357564066043359340376061087990248909603666034420683949986454993266279058626732208248361954284400688841746207803537487889583649311294163392186504195737_<566>]
10⁹⁵¹+1 = 1(0)₉₅₀1_<952> = 7 · 11 · 13 · 3536453 · 12361733 · 23801700277_<11> · 38405613853_<11> · 68009240067498931554643059611689714176253_<41> · [3057680777939340873709128976697248022108596412174873961787759431938025628869678008257542334571156935185136195428088353104791656344052255750374564165542466009514157472101863859769365418973638732536985785497459589011510554591776547201190016880328515272743477435703_<262>] · C612
C612 = P33 · C580
P33 = 102570756454098763233742574501743_<33>
C580 = [1172012803769621719252365058938965506852034255538255007373757985097563509193496805313736730077703309259876626566612185446011310800300769994399386653021937694266520577838243385384774401385492842581044381509749875841324524047036304574190605332513109880751219408698204055258625861509987926962423351385639646591127710298342927544330033130259244488289180348708388102537736901822082292342772957838450752598706597561798689276191118701886297433227752846591987632088979079350694789923207263820430089623986825840706751833030361951318310171887323357204388747832176545729713142420913287917917_<580>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Nov 22, 2006

By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 gnfs
(8·10¹⁹⁰-71)/9 = (8)₁₈₉1_<190> = 31 · 130631 · 1819798107166331261_<19> · 79551780549152904467_<20> · 516691240715476214463353437_<27> · C119
C119 = P53 · P67
P53 = 13300943125012238261994582238288397549590803371621527_<53>
P67 = 2206240654687068048051269685385242576181184555049501743077860013517_<67>

Number: test N=29345081468082457331289864149984090927414031492921287709615885718403229306209097275348874449736436951154902266428180459 ( 119 digits) Divisors found: r1=13300943125012238261994582238288397549590803371621527 (pp53) r2=2206240654687068048051269685385242576181184555049501743077860013517 (pp67) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 115.85 hours. Scaled time: 102.41 units (timescale=0.884). Factorization parameters were as follows: name: test n: 29345081468082457331289864149984090927414031492921287709615885718403229306209097275348874449736436951154902266428180459 skew: 165490.48 # norm 8.52e+16 c5: 23520 c4: 4956381832 c3: -2588841180336804 c2: -98228419725155829003 c1: 24426972850082958580741534 c0: 329035407253681913013070439181 # alpha -6.99 Y1: 6596018737759 Y0: -65950451013578676648460 # Murphy_E 3.21e-10 # M 10717586801923053861335544256814480236621499124251542442465227226576716907432907631440614918980170118495814277857599813 type: gnfs rlim: 4500000 alim: 4500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 60000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [2250000, 1 ) Primes: RFBsize:315948, AFBsize:315630, largePrimes:7562889 encountered Relations: rels:7550887, finalFF:707603 Max relations in full relation-set: 0 Initial matrix: 631657 x 707603 with sparse part having weight 58660544. Pruned matrix : 568239 x 571461 with weight 40931424. Total sieving time: 99.73 hours. Total relation processing time: 2.04 hours. Matrix solve time: 13.35 hours. Time per square root: 0.72 hours. Prototype def-par.txt line would be: gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000 total time: 115.85 hours. --------- CPU info (if available) ----------

Nov 21, 2006

By Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4
10¹⁶⁵+9 = 1(0)₁₆₄9_<166> = 1117 · 29009 · 658851377041905167825719734691_<30> · C128
C128 = P45 · P84
P45 = 405476469408529846096552458965513686928349281_<45>
P84 = 115521003954448422975067155610313660368992451637991336302242072977588854951379884143_<84>

Number: 10009_165 N=46841048825978561356978747541657395628214092574365582530196085768744223145586011443337758767687268157082158826887686500017351183 ( 128 digits) SNFS difficulty: 165 digits. Divisors found: r1=405476469408529846096552458965513686928349281 (pp45) r2=115521003954448422975067155610313660368992451637991336302242072977588854951379884143 (pp84) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 109.42 hours. Scaled time: 66.75 units (timescale=0.610). Factorization parameters were as follows: name: 10009_165 n: 46841048825978561356978747541657395628214092574365582530196085768744223145586011443337758767687268157082158826887686500017351183 m: 1000000000000000000000000000000000 c5: 1 c0: 9 skew: 2 type: snfs Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2500000, 4800001) Primes: RFBsize:348513, AFBsize:348501, largePrimes:5792990 encountered Relations: rels:5968131, finalFF:784837 Max relations in full relation-set: 0 Initial matrix: 697078 x 784837 with sparse part having weight 37403878. Pruned matrix : 623951 x 627500 with weight 27859202. Total sieving time: 92.53 hours. Total relation processing time: 0.64 hours. Matrix solve time: 15.99 hours. Time per square root: 0.26 hours. Prototype def-par.txt line would be: snfs,165,5,0,0,0,0,0,0,0,0,5000000,5000000,27,27,48,48,2.5,2.5,100000 total time: 109.42 hours. --------- CPU info (if available) ----------

Nov 18, 2006

By GGNFS, ECM
10¹⁶⁴+7 = 1(0)₁₆₃7_<165> = 23 · 379 · 7309 · 12698886469366937367312361817_<29> · C129
C129 = P59 · P70
P59 = 89521774571891440725766027916492942543621141376778475868817_<59>
P70 = 1380640691183467041940805484295021196494682231216695693196237567677271_<70>

Number: N N=123597404720906723070603691171193332824198996716018877260358883611797898401587603600800822151252138669606949349037994378388558407 ( 129 digits) SNFS difficulty: 164 digits. Divisors found: r1=89521774571891440725766027916492942543621141376778475868817 (pp59) r2=1380640691183467041940805484295021196494682231216695693196237567677271 (pp70) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 108.96 hours. Scaled time: 196.45 units (timescale=1.803). Factorization parameters were as follows: name: 10^164+7 n: 123597404720906723070603691171193332824198996716018877260358883611797898401587603600800822151252138669606949349037994378388558407 skew: 1 c5: 10000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 7 m: 100000000000000000000000000000000 type: snfs rlim: 4000000 alim: 4000000 lpbr: 27 lpba: 27 mfbr: 47 mfba: 47 rlambda: 2.4 alambda: 2.4 qintsize: 10000Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 47/47 Sieved algebraic special-q in [2000000, 3440001) Primes: RFBsize:283146, AFBsize:283882, largePrimes:5478274 encountered Relations: rels:5452413, finalFF:639994 Max relations in full relation-set: 28 Initial matrix: 567092 x 639993 with sparse part having weight 49903993. Pruned matrix : 517836 x 520735 with weight 38625421. Total sieving time: 102.91 hours. Total relation processing time: 0.28 hours. Matrix solve time: 5.64 hours. Time per square root: 0.13 hours. Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,47,47,2.4,2.4,100000 total time: 108.96 hours. --------- CPU info (if available) ----------

10¹⁸⁹+7 = 1(0)₁₈₈7_<190> = 59 · 2131 · C184
C184 = P37 · C148
P37 = 3159054500600988812343025556881597237_<37>
C148 = [2517719943928015933161812602621927145881018065738612169370878161327571268215304182048198373665295635371013719764424373030947660451097961657183402859_<148>]

Nov 17, 2006

By ECM, GGNFS gnfs, GGNFS snfs
10¹⁹⁸+7 = 1(0)₁₉₇7_<199> = 53 · 571 · 2311139052889_<13> · C182
C182 = P40 · C142
P40 = 8981676309068044990065102914772467010071_<40>
C142 = [1591858814267617896078250031041439073424924024742250415820682638458770032616911002606947871751429467343698998106474368448419328480312019748431_<142>]
10¹⁶⁷+7 = 1(0)₁₆₆7_<168> = 383 · 829 · 11591207077_<11> · 73347288818135303_<17> · 141440849542595046487975537469003983_<36> · C100
C100 = P43 · P57
P43 = 2767384195308432800998826640296194868680403_<43>
P57 = 946432516737087044441832532380571281421477140914013266779_<57>

Number: Job N=2619142388744198489221178578867314405367094314526442514421260482505307467083353062573172058928231937 ( 100 digits) Divisors found: r1=2767384195308432800998826640296194868680403 (pp43) r2=946432516737087044441832532380571281421477140914013266779 (pp57) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 8.60 hours. Scaled time: 15.90 units (timescale=1.850). Factorization parameters were as follows: name: Job n: 2619142388744198489221178578867314405367094314526442514421260482505307467083353062573172058928231937 skew: 8767.84 # norm 1.44e+14 c5: 39960 c4: 10073859 c3: -20284580639278 c2: -124696502742194 c1: 640938381477089277548 c0: -70909371893625224570160 # alpha -6.23 Y1: 8282152207 Y0: -9189813678694628131 # Murphy_E 3.31e-09 # M 1501514031735999265463075416290939630348073546891187053019114908450105058567508383777968256834056499 type: gnfs rlim: 1800000 alim: 1800000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 10000 Factor base limits: 1800000/1800000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [900000, 1000001) Primes: RFBsize:135072, AFBsize:135190, largePrimes:3875502 encountered Relations: rels:3862298, finalFF:368646 Max relations in full relation-set: 28 Initial matrix: 270344 x 368646 with sparse part having weight 27249881. Pruned matrix : 197174 x 198589 with weight 13002163. Total sieving time: 7.84 hours. Total relation processing time: 0.10 hours. Matrix solve time: 0.56 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: gnfs,99,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1800000,1800000,26,26,48,48,2.5,2.5,100000 total time: 8.60 hours. --------- CPU info (if available) ----------

10¹⁶²+7 = 1(0)₁₆₁7_<163> = 373 · 2897560744807_<13> · 284650192636237_<15> · C133
C133 = P53 · P81
P53 = 10547001703389742749894012224851142970616143003250831_<53>
P81 = 308189700406341423181147659113543127355444178794088410677400174480962049420222271_<81>

Number: N N=3250477295152857483616387321204676144778298388584513349964512256612201623520987517912245791751948647147902352423129220799543585457201 ( 133 digits) SNFS difficulty: 162 digits. Divisors found: r1=10547001703389742749894012224851142970616143003250831 (pp53) r2=308189700406341423181147659113543127355444178794088410677400174480962049420222271 (pp81) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 79.92 hours. Scaled time: 146.58 units (timescale=1.834). Factorization parameters were as follows: name: 10^162+7 n: 3250477295152857483616387321204676144778298388584513349964512256612201623520987517912245791751948647147902352423129220799543585457201 skew: 1 c5: 100 c4: 0 c3: 0 c2: 0 c1: 0 c0: 7 m: 100000000000000000000000000000000 type: snfs rlim: 4000000 alim: 4000000 lpbr: 27 lpba: 27 mfbr: 47 mfba: 47 rlambda: 2.4 alambda: 2.4 qintsize: 10000Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 47/47 Sieved algebraic special-q in [2000000, 3100001) Primes: RFBsize:283146, AFBsize:283097, largePrimes:5323478 encountered Relations: rels:5295599, finalFF:640531 Max relations in full relation-set: 28 Initial matrix: 566309 x 640530 with sparse part having weight 39852777. Pruned matrix : 512205 x 515100 with weight 29578204. Total sieving time: 75.32 hours. Total relation processing time: 0.27 hours. Matrix solve time: 4.22 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,162,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,47,47,2.4,2.4,100000 total time: 79.92 hours. --------- CPU info (if available) ----------

Nov 16, 2006 (2nd)

By ECM, GGNFS snfs
10¹⁸⁴+7 = 1(0)₁₈₃7_<185> = 3623 · 14947 · 87049 · 81831577 · 27032969027_<11> · 82572781465758823_<17> · C137
C137 = P41 · P96
P41 = 13812625427379003182132914528083742520447_<41>
P96 = 840787078677037174391304726181032112104649288083138093961703021109819735570348848562966541610497_<96>
10¹⁷⁸+7 = 1(0)₁₇₇7_<179> = 9779956187_<10> · 15061360829503_<14> · C155
C155 = P32 · C124
P32 = 28611712108180931576351076849383_<32>
C124 = [2372766658386071479394164140981662985967236676580748175830928608025753371979903404338599883260199063087303313743132894406989_<124>]
10¹⁵⁹+7 = 1(0)₁₅₈7_<160> = 53 · 112071623517499016299_<21> · 742724173649744073677_<21> · C117
C117 = P57 · P60
P57 = 354663760028666201445811359498151123731853622090995334671_<57>
P60 = 639122480641374580716319914410982978520319328839614482642443_<60>

Number: N N=226673582103118334143885828835544134495812108823761215777923161449519382625786039701855765820567862409213621214041253 ( 117 digits) SNFS difficulty: 159 digits. Divisors found: r1=354663760028666201445811359498151123731853622090995334671 (pp57) r2=639122480641374580716319914410982978520319328839614482642443 (pp60) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 79.32 hours. Scaled time: 144.21 units (timescale=1.818). Factorization parameters were as follows: name: 10^159+7 n: 226673582103118334143885828835544134495812108823761215777923161449519382625786039701855765820567862409213621214041253 skew: 1 c5: 10000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 7 m: 10000000000000000000000000000000 type: snfs rlim: 4000000 alim: 4000000 lpbr: 27 lpba: 27 mfbr: 47 mfba: 47 rlambda: 2.4 alambda: 2.4 qintsize: 10000Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 47/47 Sieved algebraic special-q in [2000000, 3010001) Primes: RFBsize:283146, AFBsize:283882, largePrimes:5284168 encountered Relations: rels:5264200, finalFF:647445 Max relations in full relation-set: 28 Initial matrix: 567093 x 647445 with sparse part having weight 36687284. Pruned matrix : 507077 x 509976 with weight 26304945. Total sieving time: 75.21 hours. Total relation processing time: 0.24 hours. Matrix solve time: 3.76 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: snfs,159,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,47,47,2.4,2.4,100000 total time: 79.32 hours. --------- CPU info (if available) ----------

Nov 16, 2006

By Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4
10¹⁶³+9 = 1(0)₁₆₂9_<164> = 19 · 223 · 5851 · 88411 · 2701583 · 341165536047659_<15> · C130
C130 = P62 · P69
P62 = 21282218145805492933175466817926209552898014184560253546079961_<62>
P69 = 232597357666536071396985516556630866129009673684071188821993975702361_<69>

Number: 10009_163 N=4950187705997164365857621953071374136800891903657774027127968403552641352310285897052129258301158018266953244295705051113242487921 ( 130 digits) SNFS difficulty: 163 digits. Divisors found: r1=21282218145805492933175466817926209552898014184560253546079961 (pp62) r2=232597357666536071396985516556630866129009673684071188821993975702361 (pp69) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 108.09 hours. Scaled time: 72.85 units (timescale=0.674). Factorization parameters were as follows: name: 10009_163 n: 4950187705997164365857621953071374136800891903657774027127968403552641352310285897052129258301158018266953244295705051113242487921 m: 100000000000000000000000000000000 c5: 1000 c0: 9 skew: 2 type: snfs Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2250000, 4650001) Primes: RFBsize:315948, AFBsize:315061, largePrimes:5821181 encountered Relations: rels:5959009, finalFF:712522 Max relations in full relation-set: 0 Initial matrix: 631076 x 712522 with sparse part having weight 38928691. Pruned matrix : 568676 x 571895 with weight 30046734. Total sieving time: 93.04 hours. Total relation processing time: 0.55 hours. Matrix solve time: 14.28 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,4500000,4500000,27,27,48,48,2.3,2.3,100000 total time: 108.09 hours. --------- CPU info (if available) ----------

Nov 15, 2006 (4th)

By Wataru Sakai / GMP-ECM 6.1 B1=11000000
10¹⁹⁸+9 = 1(0)₁₉₇9_<199> = 225961 · 124678768297051697_<18> · C176
C176 = P40 · C136
P40 = 9690036302476528221435163969533038158217_<40>
C136 = [3663098565111345395412929971728350097530716199796536338138921821753864966157300030614431362264492489238686784881314038315456171995557481_<136>]

Nov 15, 2006 (3rd)

By ECM, GGNFS gnfs
10¹⁶⁷+7 = 1(0)₁₆₆7_<168> = 383 · 829 · 11591207077_<11> · 73347288818135303_<17> · C135
C135 = P36 · C100
P36 = 141440849542595046487975537469003983_<36>
C100 = [2619142388744198489221178578867314405367094314526442514421260482505307467083353062573172058928231937_<100>]
10¹⁷²+7 = 1(0)₁₇₁7_<173> = 53 · 191938429 · 331415043556425612418268467_<27> · 29849566288772955116003809849_<29> · C107
C107 = P36 · P72
P36 = 519653203407133915489828689837558457_<36>
P72 = 191222214126927932611849860371304656786463312566330254859420091542285581_<72>

Number: Job N=99369236133662997498046538437800014670090090351377956564066351892312953445624960793469992991788770475708517 ( 107 digits) Divisors found: r1=519653203407133915489828689837558457 (pp36) r2=191222214126927932611849860371304656786463312566330254859420091542285581 (pp72) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 42.52 hours. Scaled time: 77.09 units (timescale=1.813). Factorization parameters were as follows: name: Job n: 99369236133662997498046538437800014670090090351377956564066351892312953445624960793469992991788770475708517 skew: 32421.20 # norm 1.79e+14 c5: 4320 c4: -163080001 c3: -12032430761768 c2: 161855080600218078 c1: 6064058439032775643530 c0: -35072402530886590558603860 # alpha -5.01 Y1: 3652301983 Y0: -470276921272562053703 # Murphy_E 1.43e-09 # M 87827777070393059920832879408730568231186274136573932948700867604413699478459017235755435042804514255498026 type: gnfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.6 alambda: 2.6 qintsize: 150000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [1250000, 2600001) Primes: RFBsize:183072, AFBsize:183374, largePrimes:4651120 encountered Relations: rels:4941887, finalFF:559453 Max relations in full relation-set: 28 Initial matrix: 366521 x 559453 with sparse part having weight 52068998. Pruned matrix : 243802 x 245698 with weight 30090006. Total sieving time: 39.81 hours. Total relation processing time: 0.20 hours. Matrix solve time: 2.37 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: gnfs,106,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,2500000,2500000,26,26,49,49,2.6,2.6,150000 total time: 42.52 hours. --------- CPU info (if available) ----------

Nov 15, 2006 (2nd)

By Tyler Cadigan / GGNFS-0.77.1-20060722-pentium4 snfs, gnfs
(4·10¹⁷⁹-1)/3 = 1(3)_179<180> = 1997 · C176
C176 = P48 · P56 · P73
P48 = 253295417124993861031296281669624054174266850009_<48>
P56 = 81068109172017008610971560943119572493804243852629380849_<56>
P73 = 3251496537693114498458159549987550518732739228349528825468592962030431329_<73>

I had to do 2 runs of ggnfs. the first time with snfs crashed but gave me the factor (no output info): r1 = 81068109172017008610971560943119572493804243852629380849 the second run gave: Number: test N=823589171795450761291859546035443959370517761467932302810461890880519047747545879286033387788030175748017974504417531961 ( 120 digits) Divisors found: r1=253295417124993861031296281669624054174266850009 (pp48) r2=3251496537693114498458159549987550518732739228349528825468592962030431329 (pp73) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 165.08 hours. Scaled time: 79.07 units (timescale=0.479). Factorization parameters were as follows: name: test n: 823589171795450761291859546035443959370517761467932302810461890880519047747545879286033387788030175748017974504417531961 skew: 46590.16 # norm 3.33e+16 c5: 84360 c4: -8202502714 c3: -1387888129134160 c2: 11428243751837448755 c1: 653112455495502668312670 c0: -1357104695023944835862993736 # alpha -5.75 Y1: 1171896562859 Y0: -99521041163549129211445 # Murphy_E 2.83e-10 # M 548991466575707693749971971104244681063225514790280051859897817838862609292117688812115775794054142884095234452671759882 type: gnfs rlim: 4500000 alim: 4500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 60000 Factor base limits: 4500000/4500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [2250000, 4530001) Primes: RFBsize:315948, AFBsize:315899, largePrimes:7613366 encountered Relations: rels:7587614, finalFF:708900 Max relations in full relation-set: 0 Initial matrix: 631935 x 708900 with sparse part having weight 75263515. Pruned matrix : 573365 x 576588 with weight 52935839. Total sieving time: 116.62 hours. Total relation processing time: 2.12 hours. Matrix solve time: 44.85 hours. Time per square root: 1.49 hours. Prototype def-par.txt line would be: gnfs,119,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4500000,4500000,27,27,50,50,2.4,2.4,60000 total time: 165.08 hours. --------- CPU info (if available) ----------

Nov 15, 2006

By ECM, GGNFS
10¹⁷²+7 = 1(0)₁₇₁7_<173> = 53 · 191938429 · 29849566288772955116003809849_<29> · C134
C134 = P27 · C107
P27 = 331415043556425612418268467_<27>
C107 = [99369236133662997498046538437800014670090090351377956564066351892312953445624960793469992991788770475708517_<107>]
10¹⁶⁰+7 = 1(0)₁₅₉7_<161> = 5189 · 13931 · C153
C153 = P39 · P115
P39 = 122227155285903457182666321837042118481_<39>
P115 = 1131791252435748089591200016536616025548232549159948520144370768984943188816711312258317968241365841533122026175233_<115>

Number: N N=138335625162691341167897685422270671661929201791407611881807314548748014866486962233917823022226979738077817358213143076843544579810311147393164053781073 ( 153 digits) SNFS difficulty: 160 digits. Divisors found: r1=122227155285903457182666321837042118481 (pp39) r2=1131791252435748089591200016536616025548232549159948520144370768984943188816711312258317968241365841533122026175233 (pp115) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 56.43 hours. Scaled time: 102.87 units (timescale=1.823). Factorization parameters were as follows: name: 10^160+7 n: 138335625162691341167897685422270671661929201791407611881807314548748014866486962233917823022226979738077817358213143076843544579810311147393164053781073 skew: 1 c5: 1 c4: 0 c3: 0 c2: 0 c1: 0 c0: 7 m: 100000000000000000000000000000000 type: snfs rlim: 4000000 alim: 4000000 lpbr: 27 lpba: 27 mfbr: 47 mfba: 47 rlambda: 2.4 alambda: 2.4 qintsize: 10000Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 47/47 Sieved algebraic special-q in [2000000, 2670001) Primes: RFBsize:283146, AFBsize:283082, largePrimes:5150741 encountered Relations: rels:5142908, finalFF:651842 Max relations in full relation-set: 28 Initial matrix: 566294 x 651842 with sparse part having weight 31982635. Pruned matrix : 495098 x 497993 with weight 21734435. Total sieving time: 53.34 hours. Total relation processing time: 0.18 hours. Matrix solve time: 2.81 hours. Time per square root: 0.11 hours. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,47,47,2.4,2.4,100000 total time: 56.43 hours. --------- CPU info (if available) ----------

10¹⁶³+7 = 1(0)₁₆₂7_<164> = 751 · 65793577 · 27552936913_<11> · C142
C142 = P29 · P114
P29 = 41544031117073918433594752857_<29>
P114 = 176807234786569338582523829881595287129675124275481575083841952162459544421538630230247564397123546438974833341401_<114>
10¹⁹⁰+7 = 1(0)₁₈₉7_<191> = 197 · 8317 · 127747 · 2829317 · 72279887 · 142368179 · 32918013164986911675034336901_<29> · C128
C128 = P33 · P40 · P56
P33 = 539949550351081895686956255135631_<33>
P40 = 1228769056329366897148936730013579567923_<40>
P56 = 75135865542155053300373496564980174488903912122130011293_<56>

Number: Job N=92324626598724059947748948540572122551209847634089980073675521676448234822325379449790050554439 ( 95 digits) Divisors found: r1=1228769056329366897148936730013579567923 (pp40) r2=75135865542155053300373496564980174488903912122130011293 (pp56) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 7.99 hours. Scaled time: 14.24 units (timescale=1.783). Factorization parameters were as follows: name: Job n: 92324626598724059947748948540572122551209847634089980073675521676448234822325379449790050554439 m: 6052030409229541070633 deg: 4 c4: 68819760 c3: 523795266544 c2: 139484912789525633 c1: -2180424713438310492 c0: -186745021330265119032750 skew: 1635.250 type: gnfs # adj. I(F,S) = 54.627 # E(F1,F2) = 3.776995e-05 # GGNFS version 0.77.1-20060513-athlon-xp polyselect. # Options were: # lcd=1, enumLCD=24, maxS1=60.00000000, seed=1163561373. # maxskew=2000.0 # These parameters should be manually set: rlim: 1200000 alim: 1200000 lpbr: 25 lpba: 25 mfbr: 45 mfba: 45 rlambda: 2.4 alambda: 2.4 qintsize: 10000 Factor base limits: 1200000/1200000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 45/45 Sieved algebraic special-q in [600000, 710001) Primes: RFBsize:92938, AFBsize:92932, largePrimes:1912725 encountered Relations: rels:2016957, finalFF:253729 Max relations in full relation-set: 28 Initial matrix: 185949 x 253729 with sparse part having weight 21506926. Pruned matrix : 157656 x 158649 with weight 11234793. Total sieving time: 7.51 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.37 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: gnfs,94,4,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1200000,1200000,25,25,45,45,2.4,2.4,60000 total time: 7.99 hours. --------- CPU info (if available) ----------

Nov 14, 2006

Table 10ⁿ+7 was extended up to 200. Remaining 27 composite numbers passed GMP-ECM 5e4, 200 times.

Nov 13, 2006

By Yousuke Koide / GMP-ECM
10⁸³³+1 = 1(0)₈₃₂1_<834> = 11 · 103 · 197 · 4013 · 609757 · 909091 · 1868879293_<10> · 21993833369_<11> · 548804832033845773_<18> · 5673320472670315859129_<22> · 5076141624365532994918781726395939035533_<40> · 103746647830421551242486430622636901002236971549990724717454338463_<66> · C649
C649 = P33 · C616
P33 = 319824888758480762691339433102367_<33>
C616 = [9343574757071792228077434930303221486762476778121423097668652970221821077208958882520710694973513468637733064223309368796024481695602816312019386654632567213658969755944051068351580955006486536290343866440351081883829574626125117079334890962510199844585257226508476000771679651748353042521718234285875124709637675154006541487681538322505116765623644263842843482492186160214527982947155983758385307885977270250086778447914204388035736686604684225936655586388904938583434467168465052464330580158448779970125201984020099036622848607669011680030732134695357973131485493571097432551074841523783382709012137194976990504023_<616>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Nov 11, 2006 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4
10¹⁵⁹+9 = 1(0)₁₅₈9_<160> = 499 · C157
C157 = P41 · P116
P41 = 25186187487813621841913773118823816536903_<41>
P116 = 79567739936888292295596294112639084452134355303693380058498429690502044773614914416009946349393011410085895946365397_<116>

Number: 10009_159 N=2004008016032064128256513026052104208416833667334669338677354709418837675350701402805611222444889779559118236472945891783567134268537074148296593186372745491 ( 157 digits) SNFS difficulty: 160 digits. Divisors found: r1=25186187487813621841913773118823816536903 (pp41) r2=79567739936888292295596294112639084452134355303693380058498429690502044773614914416009946349393011410085895946365397 (pp116) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 76.30 hours. Scaled time: 51.50 units (timescale=0.675). Factorization parameters were as follows: name: 10009_159 n: 2004008016032064128256513026052104208416833667334669338677354709418837675350701402805611222444889779559118236472945891783567134268537074148296593186372745491 m: 100000000000000000000000000000000 c5: 1 c0: 90 skew: 2.46 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 3700001) Primes: RFBsize:283146, AFBsize:283222, largePrimes:5625429 encountered Relations: rels:5626182, finalFF:634517 Max relations in full relation-set: 0 Initial matrix: 566432 x 634517 with sparse part having weight 41516401. Pruned matrix : 514796 x 517692 with weight 29630223. Total sieving time: 63.99 hours. Total relation processing time: 0.41 hours. Matrix solve time: 11.68 hours. Time per square root: 0.21 hours. Prototype def-par.txt line would be: snfs,160,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 76.30 hours. --------- CPU info (if available) ----------

Nov 11, 2006

By Wataru Sakai / GMP-ECM 6.1 B1=11000000
10¹⁹⁶+9 = 1(0)₁₉₅9_<197> = 409 · 24509 · 24568382659368173_<17> · C173
C173 = P47 · C126
P47 = 44401499461295046411183451748843306897700065477_<47>
C126 = [914485651586525533357484598772878668557145673386605657821723195587345693907083602731033750236232276619318600012074196323998309_<126>]

Nov 10, 2006 (2nd)

By JMB / GGNFS-0.77.1-20060513-athlon-xp
10¹⁶⁴+3 = 1(0)₁₆₃3_<165> = 31 · 72661 · 34398655802053_<14> · C145
C145 = P37 · P108
P37 = 4075389007177818510425958607451799493_<37>
P108 = 316684198450990245853796446126980851388377309015444532754266605694332398770449162432993865124395996668140177_<108>

Number: Job N=1290611301114084388660783119477994372937028016800687221470364447812500253084007981362043316535746405003945717855762764937726394301548860221530261 ( 145 digits) SNFS difficulty: 164 digits. Divisors found: r1=4075389007177818510425958607451799493 (pp37) r2=316684198450990245853796446126980851388377309015444532754266605694332398770449162432993865124395996668140177 (pp108) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 100.00 hours. Scaled time: 183.40 units (timescale=1.834). Factorization parameters were as follows: name: 10164+3 n: 1290611301114084388660783119477994372937028016800687221470364447812500253084007981362043316535746405003945717855762764937726394301548860221530261 skew: 2 c5: 10000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 100000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 3560001) Primes: RFBsize:216816, AFBsize:215581, largePrimes:6043156 encountered Relations: rels:6143733, finalFF:509004 Max relations in full relation-set: 28 Initial matrix: 432461 x 509004 with sparse part having weight 61390523. Pruned matrix : 403943 x 406169 with weight 47820336. Total sieving time: 95.02 hours. Total relation processing time: 0.31 hours. Matrix solve time: 4.55 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,164,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 100.00 hours. --------- CPU info (if available) ----------

Nov 10, 2006

By JMB / GMP-ECM 6.1.1 B1=11000000
10¹⁸⁵+9 = 1(0)₁₈₄9_<186> = 7 · 13 · 229846571 · 1275374768743384691_<19> · 2601396325020582930122538337721_<31> · C127
C127 = P34 · P93
P34 = 4277579851308146456603644470753277_<34>
P93 = 336882235159639253303716540858681759020527027546821580356810549616254660757873213006852842127_<93>

Nov 9, 2006

By JMB / GGNFS-0.77.1-20060513-athlon-xp
10¹⁶¹+3 = 1(0)₁₆₀3_<162> = 13384170461_<11> · 821803718884451141_<18> · C133
C133 = P35 · P38 · P61
P35 = 55689458843269071823219640216823151_<35>
P38 = 31215643436669954814773315727432097321_<38>
P61 = 5229921251194894076800387430777663894801697083886414650870293_<61>

Number: Job N=9091602483434276582331722452653348048116352758006019425620053354886938383960657549356599224903299469115788497391900843527220038162003 ( 133 digits) SNFS difficulty: 161 digits. Divisors found: r1=55689458843269071823219640216823151 (pp35) r2=31215643436669954814773315727432097321 (pp38) r3=5229921251194894076800387430777663894801697083886414650870293 (pp61) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 72.01 hours. Scaled time: 131.70 units (timescale=1.829). Factorization parameters were as follows: name: 10^161+3 n: 9091602483434276582331722452653348048116352758006019425620053354886938383960657549356599224903299469115788497391900843527220038162003 skew: 1 c5: 10 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 100000000000000000000000000000000 type: snfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved algebraic special-q in [1250000, 2670001) Primes: RFBsize:183072, AFBsize:183096, largePrimes:3724852 encountered Relations: rels:3939067, finalFF:424694 Max relations in full relation-set: 28 Initial matrix: 366234 x 424694 with sparse part having weight 49131957. Pruned matrix : 345897 x 347792 with weight 38131203. Total sieving time: 68.36 hours. Total relation processing time: 0.16 hours. Matrix solve time: 3.38 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,2500000,2500000,26,26,47,47,2.3,2.3,100000 total time: 72.01 hours. --------- CPU info (if available) ----------

10¹⁶³+3 = 1(0)₁₆₂3_<164> = 13 · 17 · 23 · 1249 · C157
C157 = P48 · P110
P48 = 117231589899843222398103253015079733333423108013_<48>
P110 = 13436086681281923664269307468592392032596002915199098937195994818328776362541162076537167449224244474925441693_<110>

Number: Job N=1575133803678788003843956534497714244580791526788221842474963641973976584375901271873292456510949463879582910869321071651734135685491143258891984726872586009 ( 157 digits) SNFS difficulty: 163 digits. Divisors found: r1=117231589899843222398103253015079733333423108013 (pp48) r2=13436086681281923664269307468592392032596002915199098937195994818328776362541162076537167449224244474925441693 (pp110) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 82.88 hours. Scaled time: 151.59 units (timescale=1.829). Factorization parameters were as follows: name: 10^163+3 n: 1575133803678788003843956534497714244580791526788221842474963641973976584375901271873292456510949463879582910869321071651734135685491143258891984726872586009 skew: 2 c5: 1000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 100000000000000000000000000000000 type: snfs rlim: 3000000 alim: 3000000 lpbr: 27 lpba: 27 mfbr: 48 mfba: 48 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 3140001) Primes: RFBsize:216816, AFBsize:216791, largePrimes:5926753 encountered Relations: rels:5958971, finalFF:493581 Max relations in full relation-set: 28 Initial matrix: 433673 x 493581 with sparse part having weight 56882975. Pruned matrix : 410829 x 413061 with weight 45472614. Total sieving time: 78.17 hours. Total relation processing time: 0.24 hours. Matrix solve time: 4.35 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,163,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 82.88 hours. --------- CPU info (if available) ----------

Nov 8, 2006 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4
10¹⁵⁶+9 = 1(0)₁₅₅9_<157> = 149 · 12577 · 17257 · C146
C146 = P42 · P46 · P59
P42 = 383981700070505184610830877165967851949977_<42>
P46 = 1245447807805174631186627010827838254868677573_<46>
P59 = 64659942178328230286420137484904735606524156752097366805889_<59>

Number: 10009_156 N=30922270259706918541273994104183262432014945588155444494107881550493940763192232543551971147645731712248062829627325026727144031780555472245719869 ( 146 digits) SNFS difficulty: 156 digits. Divisors found: r1=383981700070505184610830877165967851949977 (pp42) r2=1245447807805174631186627010827838254868677573 (pp46) r3=64659942178328230286420137484904735606524156752097366805889 (pp59) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 51.11 hours. Scaled time: 31.23 units (timescale=0.611). Factorization parameters were as follows: name: 10009_156 n: 30922270259706918541273994104183262432014945588155444494107881550493940763192232543551971147645731712248062829627325026727144031780555472245719869 m: 10000000000000000000000000000000 c5: 10 c0: 9 skew: 2 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 2700001) Primes: RFBsize:216816, AFBsize:216791, largePrimes:5577567 encountered Relations: rels:5506820, finalFF:485813 Max relations in full relation-set: 0 Initial matrix: 433674 x 485813 with sparse part having weight 32645438. Pruned matrix : 399323 x 401555 with weight 25027274. Total sieving time: 43.95 hours. Total relation processing time: 0.31 hours. Matrix solve time: 6.64 hours. Time per square root: 0.21 hours. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 51.11 hours. --------- CPU info (if available) ----------

Nov 8, 2006

By JMB / GGNFS-0.77.1-20060513-athlon-xp
10¹⁵⁸+3 = 1(0)₁₅₇3_<159> = 19 · 181 · 42367021 · C147
C147 = P41 · P107
P41 = 56562887171939352687533078968873450917397_<41>
P107 = 12134121153120891677860517234609605899226468109948574988494138769478971577913168918124640360449818429183421_<107>

Number: Job N=686340925714619629813773407842849504154136513898346137695447647130283089746715169548133228993215230649747386989970687059844292811941864550032875137 ( 147 digits) SNFS difficulty: 158 digits. Divisors found: r1=56562887171939352687533078968873450917397 (pp41) r2=12134121153120891677860517234609605899226468109948574988494138769478971577913168918124640360449818429183421 (pp107) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 73.73 hours. Scaled time: 136.77 units (timescale=1.855). Factorization parameters were as follows: name: 10^158+3 n: 686340925714619629813773407842849504154136513898346137695447647130283089746715169548133228993215230649747386989970687059844292811941864550032875137 skew: 1 c5: 1000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 10000000000000000000000000000000 type: snfs rlim: 2000000 alim: 2000000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [1000000, 2480001) Primes: RFBsize:148933, AFBsize:149150, largePrimes:2286233 encountered Relations: rels:2556588, finalFF:336729 Max relations in full relation-set: 28 Initial matrix: 298149 x 336729 with sparse part having weight 39120057. Pruned matrix : 285932 x 287486 with weight 31441874. Total sieving time: 71.27 hours. Total relation processing time: 0.11 hours. Matrix solve time: 2.27 hours. Time per square root: 0.08 hours. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,2000000,2000000,25,25,46,46,2.3,2.3,100000 total time: 73.73 hours. --------- CPU info (if available) ----------

10¹⁵⁹+3 = 1(0)₁₅₈3_<160> = 27481 · 21857807 · 50342736358471_<14> · C134
C134 = P57 · P77
P57 = 365088561996659184739622906690610283957025786636979183011_<57>
P77 = 90578648466036397927895461652215642063389691714124448760625362551232618315489_<77>

Number: Job N=33069228516066127828095467188710501944989981714508049208067552235661273476089033705608855208287520512577078328935684044968578266957379 ( 134 digits) SNFS difficulty: 159 digits. Divisors found: r1=365088561996659184739622906690610283957025786636979183011 (pp57) r2=90578648466036397927895461652215642063389691714124448760625362551232618315489 (pp77) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 67.02 hours. Scaled time: 123.99 units (timescale=1.850). Factorization parameters were as follows: name: 10^159+3 n: 33069228516066127828095467188710501944989981714508049208067552235661273476089033705608855208287520512577078328935684044968578266957379 skew: 1 c5: 10000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 10000000000000000000000000000000 type: snfs rlim: 2500000 alim: 2500000 lpbr: 26 lpba: 26 mfbr: 47 mfba: 47 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 2500000/2500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 47/47 Sieved algebraic special-q in [1250000, 2510001) Primes: RFBsize:183072, AFBsize:182136, largePrimes:3638522 encountered Relations: rels:3804343, finalFF:422771 Max relations in full relation-set: 28 Initial matrix: 365272 x 422771 with sparse part having weight 42045423. Pruned matrix : 343496 x 345386 with weight 31618122. Total sieving time: 63.83 hours. Total relation processing time: 0.16 hours. Matrix solve time: 2.94 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,159,5,0,0,0,0,0,0,0,0,2500000,2500000,26,26,47,47,2.3,2.3,100000 total time: 67.02 hours. --------- CPU info (if available) ----------

Nov 7, 2006 (2nd)

By JMB / GGNFS-0.77.1-20060513-athlon-xp
10¹⁵⁴+3 = 1(0)₁₅₃3_<155> = 7 · 3963860422906687_<16> · C138
C138 = P69 · P70
P69 = 149423443005462551721301379502643750647745574130417390277014997318813_<69>
P70 = 2411930932482573111391518332280642017351271749416029057705410264299159_<70>

Number: Job N=360399024222921909270235911303974311261988445519545605666583983972180980784491046755349332963748845118776491140122019197845700079530778267 ( 138 digits) SNFS difficulty: 154 digits. Divisors found: r1=149423443005462551721301379502643750647745574130417390277014997318813 (pp69) r2=2411930932482573111391518332280642017351271749416029057705410264299159 (pp70) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 45.44 hours. Scaled time: 79.88 units (timescale=1.758). Factorization parameters were as follows: name: 10^154+3 n: 360399024222921909270235911303974311261988445519545605666583983972180980784491046755349332963748845118776491140122019197845700079530778267 skew: 1 c5: 10000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 1000000000000000000000000000000 type: snfs rlim: 2000000 alim: 2000000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [1000000, 1860001) Primes: RFBsize:148933, AFBsize:148285, largePrimes:2191969 encountered Relations: rels:2400183, finalFF:341909 Max relations in full relation-set: 28 Initial matrix: 297282 x 341909 with sparse part having weight 30111148. Pruned matrix : 280747 x 282297 with weight 22030937. Total sieving time: 43.61 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.66 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,154,5,0,0,0,0,0,0,0,0,2000000,2000000,25,25,46,46,2.3,2.3,100000 total time: 45.44 hours. --------- CPU info (if available) ----------

Nov 7, 2006

By JMB / GGNFS-0.77.1-20060513-pentium4
10¹⁵³+3 = 1(0)₁₅₂3_<154> = 29 · 67 · C150
C150 = P42 · P109
P42 = 376761827601512787036094285501223811506077_<42>
P109 = 1366030211688845889671647585845412059913391266235993559996651995578056259930708624299661596143715652351500473_<109>

Number: N N=514668039114770972722593926917138445702521873391662377766340710241893978383942357179619145651055069480185280494081317550180133813690169840452907874421 ( 150 digits) SNFS difficulty: 153 digits. Divisors found: r1=376761827601512787036094285501223811506077 (pp42) r2=1366030211688845889671647585845412059913391266235993559996651995578056259930708624299661596143715652351500473 (pp109) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 43.84 hours. Scaled time: 39.81 units (timescale=0.908). Factorization parameters were as follows: name: 10^153+3 n: 514668039114770972722593926917138445702521873391662377766340710241893978383942357179619145651055069480185280494081317550180133813690169840452907874421 skew: 1 c5: 1000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 1000000000000000000000000000000 type: snfs rlim: 2000000 alim: 2000000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 qintsize: 20000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [1000000, 1840001) Primes: RFBsize:148933, AFBsize:149150, largePrimes:2192600 encountered Relations: rels:2396730, finalFF:336011 Max relations in full relation-set: 28 Initial matrix: 298149 x 336011 with sparse part having weight 30541850. Pruned matrix : 283874 x 285428 with weight 23315534. Total sieving time: 40.28 hours. Total relation processing time: 0.28 hours. Matrix solve time: 3.09 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2000000,2000000,25,25,46,46,2.3,2.3,100000 total time: 43.84 hours. --------- CPU info (if available) ----------

Nov 6, 2006 (4th)

By JMB / GGNFS-0.77.1-20060513-pentium4
10¹⁴⁸+3 = 1(0)₁₄₇3_<149> = 7 · 5107 · 2157481 · 330473699221_<12> · C126
C126 = P44 · P83
P44 = 10179078449976201273125762528418361136218099_<44>
P83 = 38542844162420837355114416087578812267010926136810640691082927212474664077128617153_<83>

Number: N N=392330634414488974731222398448381945764017396400978605812774161961346108149639752235416711259679426819944874434795840080452147 ( 126 digits) SNFS difficulty: 148 digits. Divisors found: r1=10179078449976201273125762528418361136218099 (pp44) r2=38542844162420837355114416087578812267010926136810640691082927212474664077128617153 (pp83) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 57.98 hours. Scaled time: 52.13 units (timescale=0.899). Factorization parameters were as follows: name: 10^148+3 n: 392330634414488974731222398448381945764017396400978605812774161961346108149639752235416711259679426819944874434795840080452147 skew: 1 c5: 1000 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 100000000000000000000000000000 type: snfs rlim: 1500000 alim: 1500000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 qintsize: 25000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [750000, 3225001) Primes: RFBsize:114155, AFBsize:114347, largePrimes:2340638 encountered Relations: rels:2602625, finalFF:264638 Max relations in full relation-set: 28 Initial matrix: 228568 x 264638 with sparse part having weight 32674494. Pruned matrix : 218631 x 219837 with weight 25690126. Total sieving time: 55.13 hours. Total relation processing time: 0.47 hours. Matrix solve time: 2.20 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,148,5,0,0,0,0,0,0,0,0,1500000,1500000,25,25,46,46,2.3,2.3,100000 total time: 57.98 hours. --------- CPU info (if available) ----------

10¹⁵⁰+3 = 1(0)₁₄₉3_<151> = 4993 · 909599715918703_<15> · C132
C132 = P58 · P75
P58 = 1312781142610220555791731442886796814088531285959604282653_<58>
P75 = 167724222837335381788066096688395065923446964535816909617221682818743071569_<75>

Number: N N=220185196899808391220278424731994458406334096942740234561275226231125986856866486145907394280837878238350277133007976381084084192557 ( 132 digits) SNFS difficulty: 150 digits. Divisors found: r1=1312781142610220555791731442886796814088531285959604282653 (pp58) r2=167724222837335381788066096688395065923446964535816909617221682818743071569 (pp75) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 48.22 hours. Scaled time: 44.70 units (timescale=0.927). Factorization parameters were as follows: name: 10^148+3 n: 220185196899808391220278424731994458406334096942740234561275226231125986856866486145907394280837878238350277133007976381084084192557 skew: 1 c5: 1 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 1000000000000000000000000000000 type: snfs rlim: 2000000 alim: 2000000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 qintsize: 50000 Factor base limits: 2000000/2000000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [1000000, 2050001) Primes: RFBsize:148933, AFBsize:148825, largePrimes:2182381 encountered Relations: rels:2406623, finalFF:361245 Max relations in full relation-set: 28 Initial matrix: 297822 x 361245 with sparse part having weight 30716807. Pruned matrix : 259122 x 260675 with weight 20259735. Total sieving time: 45.43 hours. Total relation processing time: 0.40 hours. Matrix solve time: 2.21 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,2000000,2000000,25,25,46,46,2.3,2.3,100000 total time: 48.22 hours. --------- CPU info (if available) ----------

Nov 6, 2006 (3rd)

By Hoogendoorn / GNFS
10³⁷²+1 = 1(0)₃₇₁1_<373> = 73 · 137 · 1489 · 700849 · 11110153 · 99990001 · 5419392721_<10> · 640543322297_<12> · 1220725699657_<13> · 27908132670449_<14> · 42367299139993_<14> · 384705444182230291105649_<24> · 16584440161215846282167330487128069170776821649169_<50> · 97645954668018846467287180866355758374263120864803042536883990817097_<68> · C143
C143 = P68 · P76
P68 = 23140616853203983900922551785166946660605063239337678349130406077337_<68>
P76 = 1194053240550935343606131291791034479414833114386116350011658511441777011841_<76>
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Nov 6, 2006 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4
10¹⁵⁴+9 = 1(0)₁₅₃9_<155> = 53² · 173 · C149
C149 = P56 · P93
P56 = 61663679403222757509249170662209857982446222255631728629_<56>
P93 = 333712690670157588584103442128065072187953963434123029832366265075137324719065556444993079553_<93>

Number: 10009_154 N=20577952370271443769716250614766327061859382620272987116144020973049055780655490094802626569840541447082766582228468773986175731597651644075504622837 ( 149 digits) SNFS difficulty: 155 digits. Divisors found: r1=61663679403222757509249170662209857982446222255631728629 (pp56) r2=333712690670157588584103442128065072187953963434123029832366265075137324719065556444993079553 (pp93) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 46.83 hours. Scaled time: 31.57 units (timescale=0.674). Factorization parameters were as follows: name: 10009_154 n: 20577952370271443769716250614766327061859382620272987116144020973049055780655490094802626569840541447082766582228468773986175731597651644075504622837 m: 10000000000000000000000000000000 c5: 1 c0: 90 skew: 2.46 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 2600001) Primes: RFBsize:216816, AFBsize:216791, largePrimes:5594606 encountered Relations: rels:5553568, finalFF:488763 Max relations in full relation-set: 0 Initial matrix: 433671 x 488763 with sparse part having weight 29962612. Pruned matrix : 393661 x 395893 with weight 22762725. Total sieving time: 40.33 hours. Total relation processing time: 0.39 hours. Matrix solve time: 5.95 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: snfs,155,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 46.83 hours. --------- CPU info (if available) ----------

Nov 6, 2006

By JMB / GMP-ECM 6.0.1 B1=11000000
10¹⁴⁹+3 = 1(0)₁₄₈3_<150> = 31 · 409 · 36299 · 68161 · 15786109931_<11> · C126
C126 = P39 · P87
P39 = 384564861922004165543203544546821681061_<39>
P87 = 525097150223725778038006971456374587050144448028021793732567240767742167666853365031593_<87>

Nov 5, 2006 (2nd)

By Wataru Sakai / GMP-ECM 6.1 B1=11000000
(4·10¹⁶³-1)/3 = 1(3)_163<164> = 13 · 1617029653_<10> · 4089127132463729329999260241_<28> · C126
C126 = P44 · P82
P44 = 28707745798935503163763288419355671086157031_<44>
P82 = 5403158344513526647772426770905270937762013647747568800406619329811247104567363907_<82>
(22·10¹⁶⁴-1)/3 = 7(3)_164<165> = 302310500269409_<15> · 5356131642213641307217_<22> · C129
C129 = P38 · P92
P38 = 19880083080642109940248774655855594509_<38>
P92 = 22781313294600518394371135010929040796865768981345365259606629590515987330582853978145551929_<92>

Nov 5, 2006

By JMB / GGNFS-0.77.1-20060513-pentium4
10¹⁴⁷+3 = 1(0)₁₄₆3_<148> = 17 · 2797246489_<10> · C137
C137 = P56 · P81
P56 = 33108811339229359436324412647303299386888839796775859569_<56>
P81 = 635150657593861735194302722673849771111790656208078860699275923576820452341058299_<81>

Number: N N=21029083294262633671806153503575132464951006198960260283809320282565328457608252837898295818594576069027076635542747249450985536866013131 ( 137 digits) SNFS difficulty: 147 digits. Divisors found: r1=33108811339229359436324412647303299386888839796775859569 (pp56) r2=635150657593861735194302722673849771111790656208078860699275923576820452341058299 (pp81) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 49.41 hours. Scaled time: 41.85 units (timescale=0.847). Factorization parameters were as follows: name: 10^147+3 n: 21029083294262633671806153503575132464951006198960260283809320282565328457608252837898295818594576069027076635542747249450985536866013131 skew: 3 c5: 100 c4: 0 c3: 0 c2: 0 c1: 0 c0: 3 m: 100000000000000000000000000000 type: snfs rlim: 1500000 alim: 1500000 lpbr: 25 lpba: 25 mfbr: 46 mfba: 46 rlambda: 2.3 alambda: 2.3 qintsize: 25000 Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [750000, 750000) Primes: RFBsize:114155, AFBsize:114062, largePrimes:2364569 encountered Relations: rels:2647538, finalFF:270674 Max relations in full relation-set: 28 Initial matrix: 228281 x 270674 with sparse part having weight 33459960. Pruned matrix : 216513 x 217718 with weight 25537184. Total sieving time: 46.63 hours. Total relation processing time: 0.32 hours. Matrix solve time: 2.27 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,147,5,0,0,0,0,0,0,0,0,1500000,1500000,25,25,46,46,2.3,2.3,100000 total time: 49.41 hours. --------- CPU info (if available) ----------

Nov 4, 2006

By Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4
10¹⁵³+9 = 1(0)₁₅₂9_<154> = 89 · C152
C152 = P63 · P89
P63 = 952968475741213558173290137369408967511606469763002925432064241_<63>
P89 = 11790479267890275373671218734902940171749839873008160665577378805343748249303568644645441_<89>

Number: 10009_153 N=11235955056179775280898876404494382022471910112359550561797752808988764044943820224719101123595505617977528089887640449438202247191011235955056179775281 ( 152 digits) SNFS difficulty: 153 digits. Divisors found: r1=952968475741213558173290137369408967511606469763002925432064241 (pp63) r2=11790479267890275373671218734902940171749839873008160665577378805343748249303568644645441 (pp89) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 37.55 hours. Scaled time: 22.98 units (timescale=0.612). Factorization parameters were as follows: name: 10009_153 n: 11235955056179775280898876404494382022471910112359550561797752808988764044943820224719101123595505617977528089887640449438202247191011235955056179775281 m: 1000000000000000000000000000000 c5: 1000 c0: 9 skew: 1 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2100001) Primes: RFBsize:176302, AFBsize:175423, largePrimes:5312210 encountered Relations: rels:5104149, finalFF:395224 Max relations in full relation-set: 0 Initial matrix: 351792 x 395224 with sparse part having weight 34367720. Pruned matrix : 330997 x 332819 with weight 25228972. Total sieving time: 32.45 hours. Total relation processing time: 0.29 hours. Matrix solve time: 4.65 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,153,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 37.55 hours. --------- CPU info (if available) ----------

Nov 3, 2006

By Yousuke Koide / GMP-ECM
10⁶⁹⁷+1 = 1(0)₆₉₆1_<698> = 11 · 103 · 4013 · 21993833369_<11> · 184952466900411703_<18> · 2670502781396266997_<19> · 3404193829806058997303_<22> · C623
C623 = P36 · C588
P36 = 165525666279467793827703089744624213_<36>
C588 = [359308269096977993468093022170028740789105888937019217440271136286307204483028607858609615266113376516383023083848873449534549812651676704385372391699541362333520709239824241861826048462909768049054998600630004856083526307688205397516081320883180154956234677233733708022746446335764039000144525507020153228092177960020254012635565656955544446401735609511013569408383142528271068437721625972496891588748833444695155776023844893509719346662131705237949421619292292987308359772640486630794121781644687628562377035413028618766356654036959027614880581534111595840593306457044705296820387620249_<588>]
Reference: Factorizations of Repunit Numbers (Yousuke Koide)

Nov 2, 2006 (2nd)

By Chris Monico / GGNFS-08
(8·10¹⁶¹-71)/9 = (8)₁₆₀1_<161> = 3 · 13 · 53² · 180073 · 209738761 · C143
C143 = P50 · P93
P50 = 51115477509159931763794507652915563600336098152047_<50>
P93 = 420292278186894375636799893551544441041889854586442640683219972715067693082843449444417750241_<93>

Nov 2, 2006

By Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4
10¹⁵⁰+9 = 1(0)₁₄₉9_<151> = 322132274449397_<15> · C136
C136 = P43 · P93
P43 = 6485315883937021911089291466838963163589677_<43>
P93 = 478668255410426241114341996907533012450905011400520344471359974267559844215862172691771363961_<93>

Number: 10009_150 N=3104314839949660628761284448066712660067595495580808482022733961156681326684053029198082216491817414591705050127114942813910431229430597 ( 136 digits) SNFS difficulty: 150 digits. Divisors found: r1=6485315883937021911089291466838963163589677 (pp43) r2=478668255410426241114341996907533012450905011400520344471359974267559844215862172691771363961 (pp93) Version: GGNFS-0.77.1-20060722-pentium4 Total time: 30.86 hours. Scaled time: 20.83 units (timescale=0.675). Factorization parameters were as follows: name: 10009_150 n: 3104314839949660628761284448066712660067595495580808482022733961156681326684053029198082216491817414591705050127114942813910431229430597 m: 1000000000000000000000000000000 c5: 1 c0: 9 skew: 1.55 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [750000, 1650001) Primes: RFBsize:114155, AFBsize:114062, largePrimes:2660088 encountered Relations: rels:2608863, finalFF:256764 Max relations in full relation-set: 0 Initial matrix: 228281 x 256764 with sparse part having weight 19959461. Pruned matrix : 219518 x 220723 with weight 14982825. Total sieving time: 29.28 hours. Total relation processing time: 0.18 hours. Matrix solve time: 1.31 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,150,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 30.86 hours. --------- CPU info (if available) ----------

Nov 1, 2006 (2nd)

By Sinkiti Sibata / GGNFS-0.77.1
10¹⁴⁴+9 = 1(0)₁₄₃9_<145> = 3510171520019041_<16> · C129
C129 = P45 · P84
P45 = 343319428714803493135074217320184461540413041_<45>
P84 = 829799713580309012101243243527869721960794456291028171104017893615600289042582210489_<84>

Number: 10009_144 N=284886363614099255967532873170574356025189075001931636327243695405714234954473049582554837281255866762695290468589842291862587049 ( 129 digits) SNFS difficulty: 145 digits. Divisors found: r1=343319428714803493135074217320184461540413041 (pp45) r2=829799713580309012101243243527869721960794456291028171104017893615600289042582210489 (pp84) Version: GGNFS-0.77.1 Total time: 20.78 hours. Scaled time: 12.41 units (timescale=0.597). Factorization parameters were as follows: name: 10009_144 n: 284886363614099255967532873170574356025189075001931636327243695405714234954473049582554837281255866762695290468589842291862587049 m: 100000000000000000000000000000 c5: 1 c0: 90 skew: 2.46 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Sieved special-q in [650000, 2550001) Relations: rels:2850045, finalFF:254863 Initial matrix: 200113 x 254863 with sparse part having weight 28420798. Pruned matrix : 194157 x 195221 with weight 17535297. Total sieving time: 18.93 hours. Total relation processing time: 0.27 hours. Matrix solve time: 1.49 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,145,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 20.78 hours. --------- CPU info (if available) ----------

Nov 1, 2006

By Chris Monico / GGNFS-08
(8·10¹⁵⁸-71)/9 = (8)₁₅₇1_<158> = 3 · 19 · C158
C158 = P34 · P47 · P77
P34 = 9664697394220315840642753734651277_<34>
P47 = 14494535430151793717771340261148093622724469909_<47>
P77 = 11132175926860369123565167768321340729065242118076195884675837389472472816681_<77>

SNFS difficulty: 158 digits. Divisors found: r1=9664697394220315840642753734651277 (pp34) r2=14494535430151793717771340261148093622724469909 (pp47) r3=11132175926860369123565167768321340729065242118076195884675837389472472816681 (pp77) Version: GGNFS-08 Total time: 49.61 hours.