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Factorizations of 488...881

Table of contents

  1. About 488...881
  2. Prime numbers of the form 488...881
  3. Factorizations of 488...881
  4. References

1. About 488...881

First ten terms

41, 481, 4881, 48881, 488881, 4888881, 48888881, 488888881, 4888888881, 48888888881

General term

(44·10n-71)/9

2. Prime numbers of the form 488...881

Last update

Oct 21, 2010

Searched up to

n≤100000

Difficulty of search

2.16%

Results

  1. (44·101-71)/9 = 41 is prime. (Makoto Kamada / Dec 3, 2004)
  2. (44·10463-71)/9 = 4(8)4621<464> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Julien Peter Benney / Jan 19, 2005)

3. Factorizations of 488...881

Last update

Feb 1, 2012

Completed up to

Range

n≤205

Terms which have not been factored yet

n=180, 181, 183, 184, 185, 200, 201, 202, 204 (9/205)

Results

(44·101-71)/9 =
41
= definitely prime number
(44·102-71)/9 =
481
= 13 · 37
(44·103-71)/9 =
4881
= 3 · 1627
(44·104-71)/9 =
48881
= 7 · 6983
(44·105-71)/9 =
488881
= 37 · 73 · 181
(44·106-71)/9 =
4888881
= 32 · 41 · 13249
(44·107-71)/9 =
48888881
= 19 · 2573099
(44·108-71)/9 =
488888881
= 13 · 37 · 1016401
(44·109-71)/9 =
4888888881<10>
= 3 · 1629629627<10>
(44·1010-71)/9 =
48888888881<11>
= 7 · 17 · 4337 · 94727
(44·1011-71)/9 =
488888888881<12>
= 23 · 37 · 41 · 131 · 106961
(44·1012-71)/9 =
4888888888881<13>
= 3 · 1063 · 14957 · 102497
(44·1013-71)/9 =
48888888888881<14>
= 29 · 73 · 9281 · 2488253
(44·1014-71)/9 =
488888888888881<15>
= 13 · 37 · 1016401016401<13>
(44·1015-71)/9 =
4888888888888881<16>
= 32 · 543209876543209<15>
(44·1016-71)/9 =
48888888888888881<17>
= 7 · 41 · 227 · 750416566469<12>
(44·1017-71)/9 =
488888888888888881<18>
= 37 · 5244601 · 2519393413<10>
(44·1018-71)/9 =
4888888888888888881<19>
= 3 · 1629629629629629627<19>
(44·1019-71)/9 =
48888888888888888881<20>
= 521 · 93836638942205161<17>
(44·1020-71)/9 =
488888888888888888881<21>
= 13 · 37 · 3843883 · 264420383347<12>
(44·1021-71)/9 =
4888888888888888888881<22>
= 3 · 41 · 47 · 73 · 113 · 3617 · 85691 · 330767
(44·1022-71)/9 =
48888888888888888888881<23>
= 7 · 242171 · 28839650429353573<17>
(44·1023-71)/9 =
488888888888888888888881<24>
= 37 · 59561 · 103001 · 2153798256733<13>
(44·1024-71)/9 =
4888888888888888888888881<25>
= 33 · 7312046047<10> · 24763241052349<14>
(44·1025-71)/9 =
48888888888888888888888881<26>
= 19 · 20373678847<11> · 126295277084117<15>
(44·1026-71)/9 =
488888888888888888888888881<27>
= 13 · 17 · 37 · 41 · 197 · 7402289845538285189<19>
(44·1027-71)/9 =
4888888888888888888888888881<28>
= 3 · 89 · 2129 · 1732427131<10> · 4964417156057<13>
(44·1028-71)/9 =
48888888888888888888888888881<29>
= 7 · 9421 · 19899362933<11> · 37254260779831<14>
(44·1029-71)/9 =
488888888888888888888888888881<30>
= 37 · 73 · 1123 · 1715717 · 93942080075780891<17>
(44·1030-71)/9 =
4888888888888888888888888888881<31>
= 3 · 313 · 5206484439711276771979647379<28>
(44·1031-71)/9 =
48888888888888888888888888888881<32>
= 41 · 148448893 · 8032474341989476421437<22>
(44·1032-71)/9 =
488888888888888888888888888888881<33>
= 13 · 37 · 149 · 6821483331550445644405375949<28>
(44·1033-71)/9 =
4888888888888888888888888888888881<34>
= 32 · 23 · 23617820719269994632313472893183<32>
(44·1034-71)/9 =
48888888888888888888888888888888881<35>
= 7 · 5653 · 20921 · 59054187972429536076181891<26>
(44·1035-71)/9 =
488888888888888888888888888888888881<36>
= 37 · 503 · 65123 · 4713889 · 23923499 · 3576860546507<13>
(44·1036-71)/9 =
4888888888888888888888888888888888881<37>
= 3 · 41 · 1913 · 49459 · 420092331988815689863266041<27>
(44·1037-71)/9 =
48888888888888888888888888888888888881<38>
= 73 · 669710806697108066971080669710806697<36>
(44·1038-71)/9 =
488888888888888888888888888888888888881<39>
= 13 · 37 · 56671 · 597301 · 338908079 · 88599047076353789<17>
(44·1039-71)/9 =
4888888888888888888888888888888888888881<40>
= 3 · 11299 · 144671 · 402154663 · 2915998993<10> · 850133131457<12>
(44·1040-71)/9 =
48888888888888888888888888888888888888881<41>
= 72 · 179 · 3762344969<10> · 5342209245343<13> · 277320227615933<15>
(44·1041-71)/9 =
488888888888888888888888888888888888888881<42>
= 29 · 37 · 41 · 257 · 13711 · 3153728727890906048932271341271<31>
(44·1042-71)/9 =
4888888888888888888888888888888888888888881<43>
= 32 · 17 · 61 · 50577863695393<14> · 10356867484863330642360749<26>
(44·1043-71)/9 =
48888888888888888888888888888888888888888881<44>
= 19 · 157 · 167 · 46072051380585649<17> · 2130114225292654301329<22>
(44·1044-71)/9 =
488888888888888888888888888888888888888888881<45>
= 13 · 37 · 199 · 463 · 11031409926533492527609983138163999273<38>
(44·1045-71)/9 =
4888888888888888888888888888888888888888888881<46>
= 3 · 59 · 73 · 5865633559<10> · 19686987119<11> · 3276573054337842221441<22>
(44·1046-71)/9 =
48888888888888888888888888888888888888888888881<47>
= 7 · 41 · 26711 · 679834213 · 9380696951889462705678668201141<31>
(44·1047-71)/9 =
488888888888888888888888888888888888888888888881<48>
= 37 · 181957 · 1517261 · 517286204203<12> · 92522739708812814998423<23>
(44·1048-71)/9 =
4888888888888888888888888888888888888888888888881<49>
= 3 · 1629629629629629629629629629629629629629629629627<49>
(44·1049-71)/9 =
48888888888888888888888888888888888888888888888881<50>
= 8985187 · 5441054135978348462740829866856292349718363<43>
(44·1050-71)/9 =
488888888888888888888888888888888888888888888888881<51>
= 132 · 37 · 509 · 17137 · 944163083978701<15> · 9493407943326686025477869<25>
(44·1051-71)/9 =
4(8)501<52>
= 34 · 41 · 470461 · 12599313631<11> · 12663980071<11> · 19611036989470858878101<23>
(44·1052-71)/9 =
4(8)511<53>
= 7 · 73643 · 3002403431<10> · 290168004720899<15> · 108858434361162657207649<24>
(44·1053-71)/9 =
4(8)521<54>
= 37 · 73 · 136217 · 1328783637350316966372774183860463297151796093<46>
(44·1054-71)/9 =
4(8)531<55>
= 3 · 1629629629629629629629629629629629629629629629629629627<55>
(44·1055-71)/9 =
4(8)541<56>
= 23 · 667867 · 3182675390061643286624750976446618009201968088341<49>
(44·1056-71)/9 =
4(8)551<57>
= 13 · 37 · 41 · 367 · 119813 · 487603 · 463681991 · 44023878058063<14> · 56641706939210609<17>
(44·1057-71)/9 =
4(8)561<58>
= 3 · 1629629629629629629629629629629629629629629629629629629627<58>
(44·1058-71)/9 =
4(8)571<59>
= 7 · 17 · 5168437220819<13> · 79488437512875923762734102091017815878370221<44>
(44·1059-71)/9 =
4(8)581<60>
= 37 · 97 · 14951 · 179659 · 605191 · 27004773367875123923<20> · 3103019404629541705117<22>
(44·1060-71)/9 =
4(8)591<61>
= 32 · 1249 · 587899100029<12> · 6934345817480223929<19> · 106683419514087722283920101<27>
(44·1061-71)/9 =
4(8)601<62>
= 19 · 41 · 73 · 487 · 4238693165542243286069<22> · 416474972747265682789960431629081<33>
(44·1062-71)/9 =
4(8)611<63>
= 13 · 37 · 1021 · 6383669 · 155944114367458036286115316658197335200149805560049<51>
(44·1063-71)/9 =
4(8)621<64>
= 3 · 233 · 1747 · 3463 · 103813 · 17795960027<11> · 24129396000673<14> · 25933908889502665168876673<26>
(44·1064-71)/9 =
4(8)631<65>
= 7 · 563 · 12405198906087005554145873861682032197129888071273506442245341<62>
(44·1065-71)/9 =
4(8)641<66>
= 37 · 191 · 2237 · 12853 · 311651953 · 15784187303243<14> · 489116715992959618547051161778297<33>
(44·1066-71)/9 =
4(8)651<67>
= 3 · 41 · 1229 · 6037 · 4292117 · 1636398016545779947817503<25> · 762731179967062385421158489<27>
(44·1067-71)/9 =
4(8)661<68>
= 47 · 1801 · 22587211509311<14> · 533271141223457981<18> · 47949920981101257628983623730253<32>
(44·1068-71)/9 =
4(8)671<69>
= 13 · 372 · 1263378335977<13> · 21743524452098972750376008445848061339043275135744949<53>
(44·1069-71)/9 =
4(8)681<70>
= 32 · 29 · 73 · 2879 · 787870598984616536113640950553<30> · 113122824572930959683562524577571<33>
(44·1070-71)/9 =
4(8)691<71>
= 7 · 523 · 991723 · 13465424608445834907815212101630172145140021827062180912298527<62>
(44·1071-71)/9 =
4(8)701<72>
= 37 · 41 · 89 · 521 · 80338109 · 86511780679770603069119759380541090141009903631250934233<56>
(44·1072-71)/9 =
4(8)711<73>
= 3 · 827 · 30047 · 2273912741265501151<19> · 28840878878171494779971099643121116176793053633<47>
(44·1073-71)/9 =
4(8)721<74>
= 109 · 6691 · 6377753 · 3075772289<10> · 3417202879501572367829436109905284901484936594880447<52>
(44·1074-71)/9 =
4(8)731<75>
= 13 · 17 · 37 · 80627 · 9942281803667<13> · 74584674714610521198807963224948393482170392902785017<53>
(44·1075-71)/9 =
4(8)741<76>
= 3 · 823285739 · 6679648387274575529<19> · 71119477469577653996441<23> · 4166737685175958014311537<25>
(44·1076-71)/9 =
4(8)751<77>
= 7 · 41 · 170344560588463027487417731320170344560588463027487417731320170344560588463<75>
(44·1077-71)/9 =
4(8)761<78>
= 23 · 37 · 73 · 726839 · 10827283904147191152277798318886164967226831490771564501170790237573<68>
(44·1078-71)/9 =
4(8)771<79>
= 33 · 88337 · 2827031 · 14030144466589979389<20> · 51678636069059906411723366313022653951651542441<47>
(44·1079-71)/9 =
4(8)781<80>
= 19 · 4297 · 8221 · 23057 · 86455133 · 36540373431887311592199867177107659573595397725772174785867<59>
(44·1080-71)/9 =
4(8)791<81>
= 13 · 37 · 283 · 507327504556064405530163023<27> · 7079298862959843200649654960236558765262620222989<49>
(44·1081-71)/9 =
4(8)801<82>
= 3 · 41 · 1471 · 66713 · 134233482041242107681246619054704313<36> · 3017317809048463754207207916546315053<37> (Makoto Kamada / msieve 0.81 / 4.3 minutes)
(44·1082-71)/9 =
4(8)811<83>
= 73 · 36307 · 11214053 · 3749976676938624311<19> · 93354339553630738890926488110682631932407176457407<50>
(44·1083-71)/9 =
4(8)821<84>
= 37 · 311 · 3314591972599204675079773<25> · 12817932484866366247356217261572724955738996613945955271<56>
(44·1084-71)/9 =
4(8)831<85>
= 3 · 9433 · 5213551337<10> · 5721343087181<13> · 5791718322947471736328422382606058988812883112007056002727<58>
(44·1085-71)/9 =
4(8)841<86>
= 73 · 16446883 · 43064510476571<14> · 84270102036837910483230749<26> · 11220460193401519750863048831069467021<38>
(44·1086-71)/9 =
4(8)851<87>
= 13 · 37 · 412 · 716946053 · 1942685497<10> · 434118607298526637485606864083960579303055238699313111646462581<63>
(44·1087-71)/9 =
4(8)861<88>
= 32 · 439 · 1237380128800022497820523636772687645884304957957197896453781039961753705109817486431<85>
(44·1088-71)/9 =
4(8)871<89>
= 7 · 14019469 · 16426031 · 192781522630091<15> · 46230357684136927219<20> · 3402947622597873676244763345571767368093<40>
(44·1089-71)/9 =
4(8)881<90>
= 37 · 11882014716412121<17> · 1796915592852678261131171<25> · 618857530144003247733502993608475786473473539543<48>
(44·1090-71)/9 =
4(8)891<91>
= 3 · 17 · 3215777 · 1879915903<10> · 4495234303894097<16> · 3527469856123394282202063088851457731235257611960868398533<58>
(44·1091-71)/9 =
4(8)901<92>
= 41 · 25356791364606397<17> · 614171037307107709853<21> · 76567185023012878579435013454326039999865421438405601<53>
(44·1092-71)/9 =
4(8)911<93>
= 13 · 37 · 23878291 · 445824829 · 1951964929<10> · 11917526880365022837327231295553<32> · 4104303310025668537674644876192807<34>
(44·1093-71)/9 =
4(8)921<94>
= 3 · 73 · 2207 · 81579426739<11> · 150302891989<12> · 349832849797<12> · 4547578193812512885841<22> · 518531291528832911056066619755271<33>
(44·1094-71)/9 =
4(8)931<95>
= 7 · 229 · 467912725487<12> · 2350066661450203<16> · 20712929053799625888874265017<29> · 1339029327236183778232856348948780071<37>
(44·1095-71)/9 =
4(8)941<96>
= 37 · 162523 · 7558717 · 1652196099401667227129<22> · 6510044159986357714986938327576961817792221287971133616517067<61>
(44·1096-71)/9 =
4(8)951<97>
= 32 · 41 · 587 · 3394258994879<13> · 119393968317359<15> · 23523014765537946397974587075833<32> · 2367692801311209791069658011701579<34>
(44·1097-71)/9 =
4(8)961<98>
= 19 · 29 · 88727566041540633192175841903609598709417221213954426295624117765678564226658600524299253881831<95>
(44·1098-71)/9 =
4(8)971<99>
= 13 · 37 · 835673 · 15828532090573<14> · 876683149673398211<18> · 8033000094422975173<19> · 10911077679099985329465124042016759973523<41>
(44·1099-71)/9 =
4(8)981<100>
= 3 · 23 · 9733 · 52077016601<11> · 139787473834292871921894106911365914873981005442713818698668894445065362408664449153<84>
(44·10100-71)/9 =
4(8)991<101>
= 7 · 376741610418729047<18> · 41082781513928629129563151547789773<35> · 451241149911170946210324456749598691292874422293<48> (Makoto Kamada / GGNFS-0.70.5 / 0.77 hours)
(44·10101-71)/9 =
4(8)1001<102>
= 37 · 41 · 73 · 479 · 452765484551<12> · 575543277293729<15> · 196651775343478721261<21> · 179852733843526958478526480021272384152577693641<48>
(44·10102-71)/9 =
4(8)1011<103>
= 3 · 61 · 97777 · 151243997 · 53275233617<11> · 11345280183246579596687700853871<32> · 2988846660205322230260010852574042644668186029<46> (Makoto Kamada / Msieve-1.39 for P32 x P46 / 4 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Feb 22, 2009)
(44·10103-71)/9 =
4(8)1021<104>
= 59 · 198323 · 867457 · 5886250650733<13> · 660540768071805807903855503<27> · 1238792985587845908033690513144315889867978399487131<52>
(44·10104-71)/9 =
4(8)1031<105>
= 13 · 37 · 2096892605343483785424157<25> · 5038674082812659350255512976949<31> · 96199460124833824631292694323775697935102904657<47> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3992407224 for P31 / Feb 19, 2009)
(44·10105-71)/9 =
4(8)1041<106>
= 33 · 21493643 · 6949788076381417<16> · 891027731719252159<18> · 1360421820502718071570360074902174889708968075301078042709053407<64>
(44·10106-71)/9 =
4(8)1051<107>
= 7 · 17 · 41 · 247790757190373<15> · 1466049972421224162897359<25> · 27583252310905641597266570716532677066969951610979976514904850877<65>
(44·10107-71)/9 =
4(8)1061<108>
= 37 · 797 · 2948411 · 11553592486441<14> · 486681741648302378515622317640180729380517558984843780405864959290989585180011483579<84>
(44·10108-71)/9 =
4(8)1071<109>
= 3 · 1117 · 230077 · 7867799899<10> · 38915296176369719<17> · 49577975205085065416704272769<29> · 417734266069739698302472827061176033504013327<45>
(44·10109-71)/9 =
4(8)1081<110>
= 73 · 35566845797976201162695764745383432956709<41> · 18829637311701547205216682636999200838650523549983041259903340871733<68> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 0.38 hours on Core 2 Quad Q6700 / Feb 22, 2009)
(44·10110-71)/9 =
4(8)1091<111>
= 13 · 37 · 41813821426996601<17> · 65284279384234367<17> · 24782088755042232293<20> · 131640152097806524974899<24> · 114132763339835910290147886335929<33>
(44·10111-71)/9 =
4(8)1101<112>
= 3 · 41 · 619 · 1993 · 891763 · 1351980281510634921679265723748664648148189<43> · 26723128574901564786591298311795686272646239432459060663<56> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 0.41 hours on Core 2 Quad Q6700 / Feb 22, 2009)
(44·10112-71)/9 =
4(8)1111<113>
= 7 · 4813 · 35141 · 1822238924377<13> · 125569338176012516977969<24> · 180465099320899227194431739056176431990993538907196146656359232920527<69>
(44·10113-71)/9 =
4(8)1121<114>
= 37 · 47 · 6047 · 14437 · 223441 · 54230599 · 21740495262061<14> · 3563329904539828069<19> · 3430527666862257699499625438491771097769020998299929371231<58>
(44·10114-71)/9 =
4(8)1131<115>
= 32 · 12327545749053391<17> · 93714637302936397867057<23> · 470201062308540258388454643315532812449978424473215458321583174537674847607<75>
(44·10115-71)/9 =
4(8)1141<116>
= 19 · 89 · 7451 · 152271286118227<15> · 3279564350126900162203029922927<31> · 7769942829182917167531395130604831408860138823889139619079386829<64> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=1581011226 for P31 / Feb 19, 2009)
(44·10116-71)/9 =
4(8)1151<117>
= 13 · 37 · 41 · 124409368035943263276149<24> · 199263681538399344099646915519064790227684336232865118851957537582515933717363804209924389<90>
(44·10117-71)/9 =
4(8)1161<118>
= 3 · 73 · 1429 · 5953 · 1629408729841<13> · 2678457432841<13> · 16050219460951937<17> · 7546865026916516544769<22> · 4964043692164617542081552579977495325660252239<46>
(44·10118-71)/9 =
4(8)1171<119>
= 7 · 416440717606357993741576196275666721789252219034067903<54> · 16770999301583074158031570541847272998272867034768728791605138361<65> (Erik Branger / GGNFS, Msieve snfs / 1.68 hours / Feb 23, 2009)
(44·10119-71)/9 =
4(8)1181<120>
= 37 · 29129 · 424330347923<12> · 1069002630833729906923106846429770911651533503767516391098659704251585409197208465962368336181084338839<103>
(44·10120-71)/9 =
4(8)1191<121>
= 3 · 337 · 347 · 13935724006786697591305121726965594281032244414862703030038136375628572414931114766071452891076797557954400410723793<116>
(44·10121-71)/9 =
4(8)1201<122>
= 23 · 41 · 157 · 1439 · 8933 · 48221 · 255885319 · 48552775951<11> · 3535362961084631958079<22> · 21657670326794845036198255667639<32> · 560014536567960733557496848856277<33> (Makoto Kamada / Msieve-1.39 for P32 x P33 / Feb 22, 2009)
(44·10122-71)/9 =
4(8)1211<123>
= 13 · 17 · 37 · 134375464763<12> · 444934610554554971571503244488954435185811564180240261909414451529546543436834220184300264731208353620145331<108>
(44·10123-71)/9 =
4(8)1221<124>
= 32 · 521 · 4217 · 76367 · 58317632369343872407634204267341<32> · 55516326260165618782983908403481227257396133152383950935332299811635335494196771<80> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=4146936460 for P32 / Feb 19, 2009)
(44·10124-71)/9 =
4(8)1231<125>
= 72 · 197 · 4679 · 31154132951377<14> · 25396419038491858287986340454153<32> · 1368064780176544709535508833324802532043828326786680880921691567406497923<73> (Serge Batalov / Msieve-1.39 snfs / 1.24 hours on Q6600,WinXP-32,Cygwin / Feb 23, 2009)
(44·10125-71)/9 =
4(8)1241<126>
= 29 · 37 · 73 · 1481 · 12477073105331465445789572500714681458613<41> · 337769014512650326216567018186916042346285216264847869760875598543396841692813<78> (Erik Branger / GGNFS, Msieve snfs / 2.17 hours / Feb 23, 2009)
(44·10126-71)/9 =
4(8)1251<127>
= 3 · 41 · 25349 · 2003237 · 1716177943<10> · 479339979049<12> · 74651825193115481273<20> · 12745752828791788470416947623900036032026462325185192417492782564332445629<74>
(44·10127-71)/9 =
4(8)1261<128>
= 668542568598640759<18> · 73127563127905041634057026395887464802348655352975376828591558579572490827271676565149452877808833063989239959<110>
(44·10128-71)/9 =
4(8)1271<129>
= 132 · 37 · 929 · 22441 · 12036491 · 10244567890679<14> · 436288771962041<15> · 452590147192419733109055979<27> · 154024974906239280609030809779562439432115603601999761483<57>
(44·10129-71)/9 =
4(8)1281<130>
= 3 · 227 · 111227 · 1640392122563<13> · 39346413924581999109155109896143743385007448414503189521648574161873665191821250924472642070182734089392357401<110>
(44·10130-71)/9 =
4(8)1291<131>
= 7 · 1579 · 28132661 · 1136626147<10> · 2241345313<10> · 257240712023959<15> · 239912605560813206635619977658354555417399799455844246162234176083037009906663132242093<87>
(44·10131-71)/9 =
4(8)1301<132>
= 37 · 41 · 1440437 · 152157458611553567622832463<27> · 78531242527721485670571795971<29> · 18723826275881217928214967899284751707079015044205504766924553100293<68>
(44·10132-71)/9 =
4(8)1311<133>
= 35 · 4339 · 15978271 · 93502943 · 105465168068487408287<21> · 260189102411844591320932191190753612446510353<45> · 113099589360575310311511645016805083348433825191<48> (Jo Yeong Uk / Msieve 1.39 for P45 x P48 / 1.73 hours on Core 2 Quad Q6600, Windows Vista(tm) Ultimate K x64 / Feb 23, 2009)
(44·10133-71)/9 =
4(8)1321<134>
= 19 · 73 · 113 · 263 · 307 · 823 · 14867 · 44134100118802098221988417966416579<35> · 7154242979524322605458094665388684872519162338721062182695437857266061024400936249<82> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3586576487 for P35 / Feb 19, 2009)
(44·10134-71)/9 =
4(8)1331<135>
= 13 · 37 · 270555143 · 183978387210443816203<21> · 3369786687108128804555612803<28> · 6059545894856761446086355822643250321732430910564157335873219585425068492423<76>
(44·10135-71)/9 =
4(8)1341<136>
= 3 · 82549 · 38357340097329560078233395558992864916910707708764623785880080749<65> · 514669713737333210325188168649284923465893594557365709330203361227<66> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 9.13 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 24, 2009)
(44·10136-71)/9 =
4(8)1351<137>
= 7 · 41 · 45481 · 3280681 · 2744064447066890196809404077767207<34> · 416044662604396313993951723092527975044912145201118051288551518737312394333927471726272169<90> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 9.29 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 25, 2009)
(44·10137-71)/9 =
4(8)1361<138>
= 37 · 340868543207612725222075573719347<33> · 38763369270966856217289969579602950513973542633663421837299638535905817359925420336650549634976872218479<104> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 11.13 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 25, 2009)
(44·10138-71)/9 =
4(8)1371<139>
= 3 · 17 · 92434514371<11> · 1037064640855370983635477796580889284935508288311250120306523244220219152907670417313240878093130127649236858040666985676916761<127>
(44·10139-71)/9 =
4(8)1381<140>
= 1559 · 3121 · 30390539151758346199<20> · 6461651849899623748232000554729<31> · 51166807863622394221848695179553706577606524639170306964578149461210274319629978249<83> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 11.95 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 26, 2009)
(44·10140-71)/9 =
4(8)1391<141>
= 13 · 37 · 18953839044024127688623<23> · 509123278828127286216988563096938862260588684297<48> · 105328269145172653612757075034695759465207254455961930240426228195271<69> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 4.50 hours on Core 2 Quad Q6700 / Feb 24, 2009)
(44·10141-71)/9 =
4(8)1401<142>
= 32 · 41 · 73 · 131 · 153953 · 789490181 · 4200148643<10> · 583003741888800227<18> · 1689109804305687021321287700092427147181180249<46> · 2755883601781023358092221328064703478054177727799<49> (Sinkiti Sibata / Msieve 1.39 for P46 x P49 / 3.23 hours / Feb 23, 2009)
(44·10142-71)/9 =
4(8)1411<143>
= 7 · 601 · 1586766675259<13> · 603149822923393391<18> · 10114884012409807074443<23> · 38857779451858321390658667718439<32> · 30893029087204983813564181049616963052872694625767854991<56> (Jo Yeong Uk / Msieve 1.39 for P32 x P56 / 0.82 hours on Core 2 Quad Q6600, Windows Vista(tm) Ultimate x64 / Feb 22, 2009)
(44·10143-71)/9 =
4(8)1421<144>
= 23 · 37 · 199 · 30302636207<11> · 4307160298747<13> · 16407153915374855716140672893295921439<38> · 1348102242729470640250881292514087976844275396957524728539042720088578215437399<79> (Erik Branger / GMP-ECM B1=3000000, sigma=853145556 for P38 / Feb 25, 2009)
(44·10144-71)/9 =
4(8)1431<145>
= 3 · 3861802112461<13> · 27176738312456067705423924254415620270867506101379<50> · 15527500933247063626950184057751950006067441741686919878574402788064647788046405133<83> (Erik Branger / GGNFS, Msieve snfs / 9.10 hours / Feb 24, 2009)
(44·10145-71)/9 =
4(8)1441<146>
= 3083 · 51347 · 807809 · 24817035941<11> · 15405044976900887804052649261090076181724667669509595179959611200875850708580974958977666894586550032839915597539780315149<122>
(44·10146-71)/9 =
4(8)1451<147>
= 13 · 37 · 41 · 193 · 12671 · 10034426228756081506187507537<29> · 1010230531071354332173157766066440614798496191777078163681250816409817823850023878490715374386918900916173351<109>
(44·10147-71)/9 =
4(8)1461<148>
= 3 · 187185899 · 6910300796857<13> · 2700695317078267204961<22> · 5799241643125425293869573<25> · 50774217265578628396593641429<29> · 1584268535344725004006217448320215928477778243715697<52>
(44·10148-71)/9 =
4(8)1471<149>
= 7 · 473996607386740060872943445846528011842562499<45> · 14734550575440180609780035105536363694945692984151226981094395946180645394713692742435856565307183185517<104> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.39 snfs / 22.68 hours, 1.57 hours / Feb 25, 2009)
(44·10149-71)/9 =
4(8)1481<150>
= 37 · 73 · 61961 · 24126935406859<14> · 27995820258820794195604377373<29> · 1823386628589600235665888424988868096924179<43> · 2371881789921313843032874446987776090309859711930752765857<58> (Sinkiti Sibata / Msieve 1.39 for P43 x P58 / 12.86 hours / Feb 24, 2009)
(44·10150-71)/9 =
4(8)1491<151>
= 32 · 51197 · 4521741435891364483<19> · 230042934078513792659027921169867040472521633549158310061<57> · 10200196105649887861156671475312764849458021711987665441965423462292219<71> (Erik Branger / GGNFS, Msieve snfs / 19.56 hours / Feb 25, 2009)
(44·10151-71)/9 =
4(8)1501<152>
= 19 · 41 · 40795973 · 53086617357311<14> · 787828356283625781569<21> · 425947598878060367961552767720056277<36> · 86354023540670324234290958731200652262153362934003180239457072040500101<71> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 gnfs for P36 x P71 / 18.41 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Feb 24, 2009)
(44·10152-71)/9 =
4(8)1511<153>
= 13 · 37 · 881 · 583339 · 38593309 · 11199161381<11> · 230050791458329<15> · 19890555771249000453878337123771680213765830126943285834176169235023369730903604059258801483889225976473395979<110>
(44·10153-71)/9 =
4(8)1521<154>
= 3 · 29 · 5686565066897115489601<22> · 207788945034135538746511370141<30> · 480561239432935951772923342469<30> · 98962287285357687567718782537306001105195681542297973648064568489776647<71> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=1000000, sigma=1617530254 for P30(4805...) / Feb 23, 2009) (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P30(2077...) x P71 / 2.54 hours on Core 2 Quad Q6700 / Feb 24, 2009)
(44·10154-71)/9 =
4(8)1531<155>
= 7 · 17 · 223 · 358177733 · 93698372639<11> · 4721271604471<13> · 2484444420234577369<19> · 297655039957538614844369407<27> · 15722666406033294394230513187173300757811894331960839522604789477124932043<74>
(44·10155-71)/9 =
4(8)1541<156>
= 37 · 97 · 498889679 · 18697682263419627917303<23> · 440832314293904601752619068922493<33> · 261205238291645927272402074009059256239<39> · 126820397395510759541604069650822061270444804667271<51> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=1000000, sigma=3845036566 for P33 / Feb 23, 2009) (Jo Yeong Uk / Msieve 1.39 for P39 x P51 / 0.94 hours on Core 2 Quad Q6600, Windows Vista(tm) Ultimate K x64 / Feb 24, 2009)
(44·10156-71)/9 =
4(8)1551<157>
= 3 · 41 · 39747064137308039747064137308039747064137308039747064137308039747064137308039747064137308039747064137308039747064137308039747064137308039747064137308039747<155>
(44·10157-71)/9 =
4(8)1561<158>
= 73 · 266760531775608133956050583465012094689794027545223607047<57> · 2510531832574284225993222640708878791275251483907369761442063478864181134791112368628433935088415951<100> (Ignacio Santos / GGNFS, Msieve snfs / 26.26 hours / Feb 25, 2009)
(44·10158-71)/9 =
4(8)1571<159>
= 13 · 37 · 2153 · 197063 · 641725897 · 3733072334067801403004340011748863457075044340053702251332112956371386049648839644288339814343046901980341782920231098890423875291484826647<139>
(44·10159-71)/9 =
4(8)1581<160>
= 33 · 47 · 89 · 6067994629886141<16> · 174275961253419097999<21> · 40933215668809999123057431310842906231822533894846189518985274013630081102728488814390367037865462339779774100441759799<119>
(44·10160-71)/9 =
4(8)1591<161>
= 7 · 191 · 2243 · 24824731 · 983914585058087864684562114199<30> · 667432786204141253171189934826691455643339433004266185186673655846703851418645596772223830967452685009651047991013439<117> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=1402595615 for P30 / Feb 20, 2009)
(44·10161-71)/9 =
4(8)1601<162>
= 37 · 41 · 59 · 588239 · 3435686224913<13> · 1367114984991651752136757<25> · 1976970653758614801377577838984434639509429205279437441929322762873779409871444991272736335874210335556139351268973<115>
(44·10162-71)/9 =
4(8)1611<163>
= 3 · 61 · 21602829725909<14> · 13890992668947677<17> · 2919528487754485360741130920221825593218288436977792273<55> · 30493160198018619499137574747553107457658730557098544861937924757079677957063<77> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 23.99 hours on Core 2 Quad Q6700 / Feb 26, 2009)
(44·10163-71)/9 =
4(8)1621<164>
= 40293606533484649013<20> · 2090142133341823514836371166394869125392607600423305654469844115347859<70> · 580494629132693000760167098993643357602606695180416440687702991593086018143<75> (Ignacio Santos / GGNFS, Msieve snfs / 42.36 hours / Feb 25, 2009)
(44·10164-71)/9 =
4(8)1631<165>
= 13 · 37 · 379 · 13121 · 2049957614111508239903<22> · 116501034371460073911691375889<30> · 855823647481947740082598625011022121804455116794796013816867215447633093964689672021790641446738998286317<105> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2444012187 for P30 / Feb 20, 2009)
(44·10165-71)/9 =
4(8)1641<166>
= 3 · 232 · 73 · 110567 · 93218987047<11> · 4682812091093777041353233063<28> · 874326705316405572786123234035850728935404455548662025784508076079796335019128265791706308917733245997267724658335013<117> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=1000000, sigma=2266374876 for P28 / Feb 23, 2009)
(44·10166-71)/9 =
4(8)1651<167>
= 72 · 41 · 6529 · 134901367749165857688154000823767<33> · 27629129929461352912079132051596603502656795026926717546156185374889588154821530878927973574496154937677026095696646552667566863<128> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2321729990 for P33 / Feb 20, 2009)
(44·10167-71)/9 =
4(8)1661<168>
= 37 · 18061 · 14686663 · 49813094359799579182926126315256491848339415604147166688278577149808828080936743907667080262807039094522770110528116043784667216035469595010206308097940391<155>
(44·10168-71)/9 =
4(8)1671<169>
= 32 · 647 · 6952640869<10> · 8997968027<10> · 13420513533438559572737918998221044426141403236584658319019204586686816396394506911891242321068810770927045564146659499789403611026346537246628569<146>
(44·10169-71)/9 =
4(8)1681<170>
= 19 · 1171 · 22455238546372133233<20> · 74729759475524672408129<23> · 3267030704112780993938561807475804129877<40> · 400806907449015252453908806551676977356384665542185400498682627662013210514398914421<84> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=3000000, sigma=1407767135 for P40 / Jul 7, 2009)
(44·10170-71)/9 =
4(8)1691<171>
= 13 · 17 · 37 · 222919 · 5364775547<10> · 4563975737099127801032473103<28> · 58627240909157056665846947136373<32> · 629413938427228336143257358605484317506289<42> · 296850911885490573747756395058094668056965871611231<51> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2247337227 for P32 / Feb 20, 2009) (Serge Batalov / yafu-1.06 / Feb 23, 2009)
(44·10171-71)/9 =
4(8)1701<172>
= 3 · 41 · 5153 · 5271981044836967768271841973392602581073085695664717820937384152442373<70> · 1463090104635461951610590987260210884486775026240659609393710273204440955431228652088681530430663<97> (Dmitry Domanov / GGNFS/msieve 1.41 snfs / 78.11 hours / Jul 8, 2009)
(44·10172-71)/9 =
4(8)1711<173>
= 7 · 12421 · 31469 · 6253303627<10> · 2540973891013<13> · 1124508918024658846914492017583336617274741615140359678713157515209741445437453843890828052278468874568564460636414640443004290619902067129617<142>
(44·10173-71)/9 =
4(8)1721<174>
= 37 · 73 · 2731 · 732227884459<12> · 222196801234260691724485672982075026225893236567024475775850854282288166181119<78> · 407361345743615648080243275018852929330785456412776829217583991628992578941731<78> (Serge Batalov / Msieve-1.40-beta2 snfs / 60 hours on Q6600@3.20GHz;ubuntu/x86_64 / Mar 5, 2009)
(44·10174-71)/9 =
4(8)1731<175>
= 3 · 61319144456619617<17> · 26576196456597909819177106011076087880216798589143598953187264284440436461256838050082644672434853313597079113233388786808570096559170816558170373925321189531<158>
(44·10175-71)/9 =
4(8)1741<176>
= 521 · 2630483 · 2187312574674506482282367995383540372121<40> · 229508976489684330097314515513609836110067<42> · 6390491240596598187204688275096391426340681<43> · 11119677059189780739326724990289024519190401<44> (matsui / Msieve 1.47 snfs / Aug 19, 2010)
(44·10176-71)/9 =
4(8)1751<177>
= 13 · 37 · 41 · 19373 · 4725001 · 23538089 · 11505652420775847697208277130152017669986422449238449248196057953530131974901276548038345366267209327347656120257421856710028310717272506691870160553881213<155>
(44·10177-71)/9 =
4(8)1761<178>
= 32 · 47554530014861<14> · 835671170480914451<18> · 562362814212988923599<21> · 3057367327052999575457<22> · 7950164742837657280846834783492865355201217623523608773483107342076375227063646282881287971464505791633<103>
(44·10178-71)/9 =
4(8)1771<179>
= 7 · 302778499 · 23066786469956653451089758471016741935113850287391061169717097329711592655012557493809968742146802782475594896796575321310989546137247295512169531509986725071201726857517<170>
(44·10179-71)/9 =
4(8)1781<180>
= 372 · 3271 · 5696469617<10> · 3745022114239249<16> · 6101841820065581590252658603<28> · 838696938672569154924647748083142791607647867582136809879741574080628178314356089675281191763392456850534121531286879581<120>
(44·10180-71)/9 =
4(8)1791<181>
= 3 · 149 · 1867 · 24262087 · [241451645935706030428941949913340265879191050999927425758132678064523099824768224919634485249192795857908534741668211830460354030211073907927839345567052256382986800587<168>] SUBMIT/RESERVE
(44·10181-71)/9 =
4(8)1801<182>
= 29 · 41 · 73 · 109 · 1811 · 208099 · 53019109244342968332643<23> · [258617603977570887177330669157279092902925691239014748182838630897007916465108375144648878446324192943824537882213193938225987992124115566921211<144>] SUBMIT/RESERVE
(44·10182-71)/9 =
4(8)1811<183>
= 13 · 37 · 4052013421<10> · 4667646846743<13> · 15076602802344849362127898326199<32> · 3564451683447442317841168014301119237064788637816142487003232172609716625620264083616052677757080479288896044026553341213083333<127> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2441008051 for P32 / Feb 21, 2009)
(44·10183-71)/9 =
4(8)1821<184>
= 3 · 739 · 473918237283271988002866379<27> · [4653085711070641537957817143781154893933926175934643977937820055831383999840167016294408727030852120142535465369833601843061718799759824364690617508590267<154>] SUBMIT/RESERVE
(44·10184-71)/9 =
4(8)1831<185>
= 7 · 419 · 713981 · 9924829032137<13> · [2352276744936251446824702924348533881109722132992584166497676956530466012712989743424567005079732710219835192601702714380863059378344225998689251421608529481401481<163>] SUBMIT/RESERVE
(44·10185-71)/9 =
4(8)1841<186>
= 37 · 181 · 4667687 · 12138680807937508454842309<26> · [1288417605397061959943220379833357041943834200589204651506644599528888889868495700727401529939473441971754524593768734420088786112756423160575421528131<151>] SUBMIT/RESERVE
(44·10186-71)/9 =
4(8)1851<187>
= 33 · 17 · 41 · 2781358159338341230540981818870343356361601462647<49> · 93402114377596838227799236814397000522231663886462612272154867872283444096094978505488882758006792303268745560227245467020075767533917<134> (Wataru Sakai / Msieve / 366.82 hours / Sep 1, 2009)
(44·10187-71)/9 =
4(8)1861<188>
= 19 · 23 · 111873887617594711416221713704551233155352148487159928807526061530638189677091278921942537503178235443681667937960844139333841851004322400203407068395626748029494024917365878464276633613<186>
(44·10188-71)/9 =
4(8)1871<189>
= 13 · 37 · 763499657 · 2527418419<10> · 1530893742256118237<19> · 4191728014574215364831375028546485729<37> · 105116817282035720727478297520666737980396146837<48> · 780852045614641398366230691727287529238764110697706970780162241747<66> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3179006784, Msieve 1.48 gnfs for P37 x P48 x P66 / May 9, 2011)
(44·10189-71)/9 =
4(8)1881<190>
= 3 · 73 · 21713 · 19670201205946211<17> · 52268184750225327087560008248633312854995479080389277180735229751629074729058500021538771962743303711146381071979147705927885885060299132756100969652080497190058274993<167>
(44·10190-71)/9 =
4(8)1891<191>
= 7 · 156119 · 7658278403<10> · 4713381211373470722768443344151<31> · 1028469975497344441078990466094659<34> · 1998131097907720070494597802698052023686654664283591<52> · 603082953366188078063846018780536589452870482189232607255401<60> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=1229181342 for P31 / Feb 21, 2009) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=301771827, Msieve 1.48 gnfs for P34 x P52 x P60 / May 8, 2011)
(44·10191-71)/9 =
4(8)1901<192>
= 37 · 41 · 1667 · 6616399218916608370914810025641420616961825481299<49> · 29219130273193001064349599743865401165066854585013049412217331129969015251650296212275002960656998458689977238359104005877428534388021821<137> (Robert Backstrom / Msieve 1.42 snfs / Feb 19, 2010)
(44·10192-71)/9 =
4(8)1911<193>
= 3 · 6883 · 28922963 · 38954127361873<14> · 1081196007181906107839<22> · 9413202557836367905493900999298621787<37> · 20647764755886974813556260540845546049023834167751375112840687635268049754100347210127382631935798069107453767<110> (Serge Batalov / GMP-ECM B1=100000000, x0=689207180 for P37 / Mar 20, 2011)
(44·10193-71)/9 =
4(8)1921<194>
= 6203 · 1618166115802996840565371152078318243943573<43> · 18615892194719893987578001772834971645694757182039038565591672722464263<71> · 261638365738076548906793103513491078188631394698342571980380378304781956600273<78> (Wataru Sakai / Msieve / 653.71 hours / Nov 6, 2009)
(44·10194-71)/9 =
4(8)1931<195>
= 13 · 37 · 154181 · 596089801981<12> · 526223281887893177647094507304506040595711304023<48> · 21016117205795897362849111917800705390749132791243872309988487284821958802175481139749733146868439000572105449286397430882007367<128> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=895579970 for P48 / May 8, 2011)
(44·10195-71)/9 =
4(8)1941<196>
= 32 · 12037 · 14461 · 186845470107006737433272393672146713833382868952776188334682761<63> · 16702000706236220312036776285302483076538341383058505144014360796350368924725188782442691877133923333309755758789171502834417<125> (Robert Backstrom / Msieve 1.44 snfs / Jan 31, 2012)
(44·10196-71)/9 =
4(8)1951<197>
= 7 · 41 · 839 · 12041 · 46536008457713<14> · 362338617850794864218861636441282654721506701050940583104178544915381823613023023460070952514528781840186177934391415294283990786294806567354521333424610782618158815075194849<174>
(44·10197-71)/9 =
4(8)1961<198>
= 37 · 73 · 52038938123538386499558426521065668429891280877444695007719721706031040955707989<80> · 3478220871825907204600143572083807398370519405902086642073165507604921729279187962113161108837292484759222844466529<115> (Wataru Sakai / Msieve / 954.48 hours / Dec 9, 2009)
(44·10198-71)/9 =
4(8)1971<199>
= 3 · 463 · 19532173270411<14> · 91474981317101<14> · 14556930758218999807<20> · 135327234665553861901288628797752831922984377801914263351814422981164692531193344820865801344182622990114140861246623222005369931054694919575424942277<150>
(44·10199-71)/9 =
4(8)1981<200>
= 157 · 634939 · 68698991 · 215968097 · 3028177735949531891906056343791558181<37> · 683528024536242326105553894600981864813836870791<48> · 15969850979847164562227476483615572558594274737364029873870810033026373342669381588390794491<92> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2706724313 for P37 / May 8, 2011) (Wataru Sakai / GMP-ECM 6.3 B1=11000000, sigma=1086064219 for P48 / May 14, 2011)
(44·10200-71)/9 =
4(8)1991<201>
= 13 · 37 · 4887863522121977<16> · 21625264242755203<17> · [9615781730036174049946079454007716530027231394337703431658533894745967037025490704704226666165568993967876996711360005108867141287980658352373045350033663795496209971<166>] SUBMIT/RESERVE
(44·10201-71)/9 =
4(8)2001<202>
= 3 · 41 · 4582294106724833179607273<25> · [8674053478797111060846450985867992982973651098511040451227658957833184473682780865153866820090672971228641609073134911394676980375504326770069404293156450588824800470320305739<175>] SUBMIT/RESERVE
(44·10202-71)/9 =
4(8)2011<203>
= 7 · 17 · 8539 · 46308281 · 2200034010681798689<19> · [472245836230288357990441001875125119428463830137268334022566592664561185318055146103480795214132997682497988908943855066842968084406962106559797311875107038441470416170749<171>] SUBMIT/RESERVE
(44·10203-71)/9 =
4(8)2021<204>
= 37 · 89 · 269 · 1373 · 4139 · 287054226646367<15> · 7909556350567679<16> · 42774419300370721670000529839817927068174505912468910836707529192430452619093827103869218492154341533694821418942401858715615739106317957260726090776755845011783<161>
(44·10204-71)/9 =
4(8)2031<205>
= 32 · 3449 · 198299916497<12> · 65696188101439811380078575679<29> · [12089595235449393138649438449792568269109916350024292217725182417525631426587890180783701208035229911050016742862916967720238700467414188485230129831679954031007<161>] SUBMIT/RESERVE
(44·10205-71)/9 =
4(8)2041<206>
= 19 · 47 · 73 · 1759 · 68899 · 985783 · 6277341641520457155793701032377050094507900341395329256130074930758306013276007606574514172703077714754362113312625739401090435133392356387394763768503074879050221711019132285571945437543<187>

4. References

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