Factorizations of near-repdigit-related numbers

Table of contents

1. Introduction
2. How to contribute your factors ▶
3. Graphs ▶
4. Wanted list ▶
5. Records ▶
6. Reserved numbers and submitted numbers
7. News and updates
8. Contributors
9. Factor tables
   • Last update
   • Repunit numbers
   • Near-repdigit numbers of the form AA...AAB
   • Near-repdigit numbers of the form ABB...BB
   • Near-repdigit palindrome numbers of the form AA...AABAA...AA
   • Plateau and depression numbers of the form ABB...BBA
   • Quasi-repdigit numbers of the form ABB...BBC
10. List of near-repdigit-related prime numbers
11. Expression generator of near-repdigit-related numbers
12. Implementations
13. Related links

1. Introduction

We are collecting prime factorizations of near-repdigit-related numbers such as repunit numbers, near-repdigit numbers, plateau and depression numbers, quasi-repdigit numbers, and so on.

2. How to contribute your factors ▶

3. Graphs ▶

4. Wanted list ▶

5. Records ▶

6. Reserved numbers and submitted numbers

7. News and updates

Jul 4, 2009

By Dmitry Domanov / GGNFS/msieve 1.41 / Jul 4, 2009
(16·10²³⁹-7)/9 = 1(7)_239<240> = 3⁵ · 15217 · 3990316637461614359759_<22> · 13273181924432571534347_<23> · 17417511129931705819879_<23> · 72157436681702848816201_<23> · 155862880557226828959411237263_<30> · C115
C115 = P52 · P64
P52 = 1242805601725594914246288145126368484394847860891111_<52>
P64 = 3728607415830210175214413350865767470697342530579606832265121657_<64>

N=4633934183029379848911059683421025765683695811198960419440580945122087499442227338278163891999244250812708844890927 ( 115 digits) Divisors found: r1=1242805601725594914246288145126368484394847860891111 (pp52) r2=3728607415830210175214413350865767470697342530579606832265121657 (pp64) Version: Msieve v. 1.41 Total time: 33.30 hours. Scaled time: 65.56 units (timescale=1.969). Factorization parameters were as follows: name: 0024 n: 4633934183029379848911059683421025765683695811198960419440580945122087499442227338278163891999244250812708844890927 skew: 52277.85 # norm 1.53e+016 c5: 49140 c4: 2023517382 c3: -770576692952680 c2: -6669643093844814455 c1: 675255332437029036418800 c0: -3360776601203873812598149827 # alpha -6.82 Y1: 530957486939 Y0: -9883317554939838314860 # Murphy_E 5.71e-010 # M 453967889756118697662348222666525420739985869353770678696114680314130139019054861861552037690994500371427353763936 type: gnfs rlim: 3500000 alim: 3500000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [1750000, 2950001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 527177 x 527424 Polynomial selection time: 2.72 hours. Total sieving time: 29.25 hours. Total relation processing time: 0.13 hours. Matrix solve time: 1.00 hours. Time per square root: 0.20 hours. Prototype def-par.txt line would be: gnfs,114,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 33.30 hours. --------- CPU info (if available) ----------

Jul 3, 2009 (3rd)

By Jo Yeong Uk / Msieve / Jul 2, 2009
(19·10¹⁷⁰+11)/3 = 6(3)₁₆₉7_<171> = 7² · 13 · 2423 · 5407 · 225212486252296836198773323_<27> · 362095319198698267549534353999723137_<36> · C99
C99 = P32 · P68
P32 = 41530639745908770097077908377763_<32>
P68 = 22407795549198754888680238994593224139411080039444874423497865033157_<68>

Number: 63337_170 N=930610084453751447220883859937900406192855431428364710420148846824731721127839963619056184076487791 ( 99 digits) Divisors found: r1=41530639745908770097077908377763 r2=22407795549198754888680238994593224139411080039444874423497865033157 Version: Total time: 2.38 hours. Scaled time: 5.69 units (timescale=2.391). Factorization parameters were as follows: name: 63337_170 n: 930610084453751447220883859937900406192855431428364710420148846824731721127839963619056184076487791 skew: 5805.56 # norm 3.75e+13 c5: 45540 c4: -576098332 c3: -4840732325267 c2: 15563382954064314 c1: 66030856022033971056 c0: -120065763798487403936640 # alpha -5.08 Y1: 10461064597 Y0: -7279080541546534673 # Murphy_E 3.46e-09 # M 887173262205881371076995863496444461793338535162077103711482507558309594394743821872645967092394012 type: gnfs rlim: 1000000 alim: 1000000 lpbr: 26 lpba: 26 mfbr: 49 mfba: 49 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 1000000/1000000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 49/49 Sieved algebraic special-q in [500000, 1000001) Primes: rational ideals reading, algebraic ideals reading, Relations: 4147948 Max relations in full relation-set: Initial matrix: Pruned matrix : 183967 x 184215 Polynomial selection time: 0.14 hours. Total sieving time: 1.96 hours. Total relation processing time: 0.18 hours. Matrix solve time: 0.07 hours. Time per square root: 0.03 hours. Prototype def-par.txt line would be: gnfs,98,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1000000,1000000,26,26,49,49,2.5,2.5,50000 total time: 2.38 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8046820k/8912896k available (2494k kernel code, 339408k reserved, 1262k data, 200k init) Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673802) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672344) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672342) Calibrating delay using timer specific routine.. 5344.67 BogoMIPS (lpj=2672337)

By Jo Yeong Uk / GMP-ECM / Jul 3, 2009
(16·10²²⁵-7)/9 = 1(7)_225<226> = 17 · 5705120952499567_<16> · 7113174568135224977_<19> · 1430577548090886473232512029_<28> · 23372859706894522584303715363_<29> · C134
C134 = P32 · P103
P32 = 41233351031948151692868641186159_<32>
P103 = 1869081935791828972707833126568044399578183366750010335624802395418611310169927142305210058932642675863_<103>

GMP-ECM 6.2.3 [powered by GMP 4.2.4] [ECM] Input number is 77068511565977660174709421461132555031362999146292468101240450879997543709927873527529777203465840908885241587100820037642140078980217 (134 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=5175414927 Step 1 took 4227ms Step 2 took 5835ms ********** Factor found in step 2: 41233351031948151692868641186159 Found probable prime factor of 32 digits: 41233351031948151692868641186159 Probable prime cofactor 1869081935791828972707833126568044399578183366750010335624802395418611310169927142305210058932642675863 has 103 digits

Jul 3, 2009 (2nd)

By Dmitry Domanov / ECMNET / Jul 3, 2009
(16·10²²⁶-7)/9 = 1(7)_226<227> = 131 · 6181811 · 132752221159_<12> · C207
C207 = P38 · P170
P38 = 12500755410149652578208142530844687751_<38>
P170 = 13228554790752363275540751728437998199424055178673431699716124390155931820330522849342635457892494755615875231329856621245128124011040693202135088807739033447001924553033_<170>

C207=P38*P170 C207=12500755410149652578208142530844687751<38>*13228554790752363275540751728437998199424055178673431699716124390155931820330522849342635457892494755615875231329856621245128124011040693202135088807739033447001924553033<170>

Jul 3, 2009

By Sinkiti Sibata / Msieve / Jul 3, 2009
(58·10¹⁶³-13)/9 = 6(4)₁₆₂3_<164> = 3² · 7 · 17 · 94951763 · 1450443787417_<13> · C141
C141 = P62 · P80
P62 = 15200010854050980264951294490005750472092205391836031200627031_<62>
P80 = 28744064597297114282228101355955883403740289127783595364008637430740971151148233_<80>

Number: 64443_163 N=436910093868458656181692890758665810048223451661281827184511045317685332128359134867190394080416164666242215892704309860218883494745227686223 ( 141 digits) SNFS difficulty: 166 digits. Divisors found: r1=15200010854050980264951294490005750472092205391836031200627031 (pp62) r2=28744064597297114282228101355955883403740289127783595364008637430740971151148233 (pp80) Version: Msieve-1.40 Total time: 50.73 hours. Scaled time: 130.08 units (timescale=2.564). Factorization parameters were as follows: name: 64443_163 n: 436910093868458656181692890758665810048223451661281827184511045317685332128359134867190394080416164666242215892704309860218883494745227686223 m: 500000000000000000000000000000000 deg: 5 c5: 464 c0: -325 skew: 0.93 type: snfs lss: 1 rlim: 4100000 alim: 4100000 lpbr: 27 lpba: 27 mfbr: 51 mfba: 51 rlambda: 2.4 alambda: 2.4 Factor base limits: 4100000/4100000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 51/51 Sieved rational special-q in [2050000, 4250001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 751768 x 752016 Total sieving time: 49.14 hours. Total relation processing time: 0.14 hours. Matrix solve time: 1.27 hours. Time per square root: 0.19 hours. Prototype def-par.txt line would be: snfs,166.000,5,0,0,0,0,0,0,0,0,4100000,4100000,27,27,51,51,2.4,2.4,100000 total time: 50.73 hours. --------- CPU info (if available) ----------

Jul 2, 2009 (4th)

By Dmitry Domanov / ECMNET / Jul 2, 2009
(4·10²²⁷-1)/3 = 1(3)_227<228> = 495976721 · C219
C219 = P34 · P185
P34 = 7182449182846041226834457037788413_<34>
P185 = 37428711930030411787026467533746685794015580944665280706076447106637077636188492634909171909470494931514913929830815389062003443743128089759181928735384732113688639097074216322185271721_<185>

C219=P34*P185 C219=7182449182846041226834457037788413<34>*37428711930030411787026467533746685794015580944665280706076447106637077636188492634909171909470494931514913929830815389062003443743128089759181928735384732113688639097074216322185271721<185>

Jul 2, 2009 (3rd)

By Jo Yeong Uk / GMP-ECM, GGNFS, MSieve v1.39 / Jul 2, 2009
(17·10¹⁶⁹-11)/3 = 5(6)₁₆₈3_<170> = 47 · 131 · 149 · 33340437841741841839489_<23> · C142
C142 = P36 · P106
P36 = 588740553020417727859616696880760387_<36>
P106 = 3146856900197104709044954193359079359458730289636307786252071116222364226809318587050803371596885848515837_<106>

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM] Input number is 1852682271698160903203411897901451415112616705715726434096600854560620468380525285725615537888596666176564066317954738261417293548183971748919 (142 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3541219365 Step 1 took 4157ms Step 2 took 2373ms ********** Factor found in step 2: 588740553020417727859616696880760387 Found probable prime factor of 36 digits: 588740553020417727859616696880760387 Probable prime cofactor 3146856900197104709044954193359079359458730289636307786252071116222364226809318587050803371596885848515837 has 106 digits

(19·10¹⁷⁰+11)/3 = 6(3)₁₆₉7_<171> = 7² · 13 · 2423 · 5407 · 225212486252296836198773323_<27> · C135
C135 = P36 · C99
P36 = 362095319198698267549534353999723137_<36>
C99 = [930610084453751447220883859937900406192855431428364710420148846824731721127839963619056184076487791_<99>]

GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM] Input number is 336969555579808682573243870523617049873844489586121451739694245328141713281148910920472473599665329157656373568688539063780045360720367 (135 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6088997955 Step 1 took 3440ms Step 2 took 2148ms ********** Factor found in step 2: 362095319198698267549534353999723137 Found probable prime factor of 36 digits: 362095319198698267549534353999723137 Composite cofactor 930610084453751447220883859937900406192855431428364710420148846824731721127839963619056184076487791 has 99 digits GMP-ECM 6.2.3 [powered by GMP 4.3.1] [ECM] Input number is 336969555579808682573243870523617049873844489586121451739694245328141713281148910920472473599665329157656373568688539063780045360720367 (135 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=6088997955 Step 1 took 3440ms Step 2 took 2148ms ********** Factor found in step 2: 362095319198698267549534353999723137 Found probable prime factor of 36 digits: 362095319198698267549534353999723137 Composite cofactor 930610084453751447220883859937900406192855431428364710420148846824731721127839963619056184076487791 has 99 digits

Jul 2, 2009 (2nd)

By Tyler Cadigan / GGNFS, Msieve / Jul 2, 2009
6·10¹⁸¹+1 = 6(0)₁₈₀1_<182> = 23 · 61 · 22921 · 1872699346433998020537767237_<28> · C147
C147 = P52 · P96
P52 = 3221817407318169274057683443449767963151785037276817_<52>
P96 = 309236703947623304730799733324982576204663378968922310111028745418217199315661984343512735564463_<96>

Number: 60001_181 N=996304195760147997067562108673821534929496595129015951823604834209205894024502191944842412261659576950028689198887149061532283496510397260878954271 ( 147 digits) SNFS difficulty: 182 digits. Divisors found: r1=3221817407318169274057683443449767963151785037276817 (pp52) r2=309236703947623304730799733324982576204663378968922310111028745418217199315661984343512735564463 (pp96) Version: Msieve v. 1.41 Total time: 223.86 hours. Scaled time: 573.97 units (timescale=2.564). Factorization parameters were as follows: n: 996304195760147997067562108673821534929496595129015951823604834209205894024502191944842412261659576950028689198887149061532283496510397260878954271 m: 2000000000000000000000000000000000000 deg: 5 c5: 15 c0: 8 skew: 0.88 type: snfs lss: 1 rlim: 7800000 alim: 7800000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 qintsize: 1000000 Factor base limits: 7800000/7800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3900000, 6900001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 851034 x 851282 Total sieving time: 221.71 hours. Total relation processing time: 0.83 hours. Matrix solve time: 1.22 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,182.000,5,0,0,0,0,0,0,0,0,7800000,7800000,28,28,53,53,2.5,2.5,100000 total time: 223.86 hours. --------- CPU info (if available) ----------

Jul 2, 2009

Factorizations of 177...77 have been extended up to n=250. Composite numbers that appeared newly have passed 118 times ECM runs at level 35. Unknown factors have probably 30 digits or more.

2009: July June May April March February January
2008: December November October September August July June May April March February January
2007: December November October September August July June May April March February January
2006: December November October September August July June May April March February January
2005: December November October September August July June May April March February January
2004: December November October September August

8. Contributors

I am thankful to contributors 10metreh, Alexander Mkrtychyan, Andreas Tete, Anton Korobeynikov, Bryan Koen, Cedric Vonck, Chris Monico, Dmitry Domanov, Erik Branger, Greg Childers, honeycrack7, Hugo Platzer, Ignacio Santos, Jeff Gilchrist, JMB, Jo Yeong Uk, Julien Peter Benney, Justin Card, Kenichiro Yamaguchi, Kenji Ibusuki, Luigi Morelli, Maksym Voznyy, Markus Tervooren, matsui, Max Dettweiler, Michael Peterson, Nechaev Sergey, Naoki Yamamoto, Patrick Keller, Phil Carmody, Philippe Strohl, Robert Backstrom, Samuel Chong, Sander Hoogendoorn, Serge Batalov, Shaopu Lin, Shusuke Kubota, Sinkiti Sibata, suberi, Takahiro Nohara, Tetsuya Kobayashi, Thomas Womack, Tomoya Adachi, Tyler Cadigan, Wataru Sakai, Wojciech Florek, Yang Hae Hun and Yoichi Hanatani.

9. Factor tables

Last update

Jul 4, 2009

Repunit numbers

• Factorizations of 11...11 (Repunit)
• Factorizations of 100...001

Recent changes
2009: May April March February January
2008: December November October September

Near-repdigit numbers of the form AA...AAB

Form	General term	Range	Terms which have not been factored yet	Last update
11...113	(10n+17)/9	n≤250	n=184, 187, 188, 189, 192, 193, 201, 202, 203, 206, 208, 209, 210, 211, 214, 216, 217, 218, 219, 220, 222, 223, 224, 225, 226, 227, 230, 231, 232, 234, 235, 236, 237, 238, 239, 240, 243, 244, 246, 250 (40/250)	Jun 27, 2009
11...117	(10n+53)/9	n≤250	n=201, 202, 203, 205, 208, 209, 210, 212, 216, 217, 218, 219, 221, 222, 227, 228, 229, 231, 232, 233, 234, 235, 237, 238, 240, 243, 245, 246, 247, 248, 249 (31/250)	May 27, 2009
11...119	(10n+71)/9	n≤200	n=171, 176, 177, 178, 179, 183, 188, 189, 190, 191, 193, 195, 199, 200 (14/200)	Jan 18, 2009
22...221	(2·10n-11)/9	n≤200	n=174, 175, 176, 179, 183, 185, 186, 187, 188, 189, 191, 196, 199, 200 (14/200)	Jan 18, 2009
22...223	(2·10n+7)/9	n≤200	n=173, 174, 175, 176, 179, 182, 184, 189, 193, 195, 196, 198, 199, 200 (14/200)	Apr 15, 2009
22...227	(2·10n+43)/9	n≤200	n=171, 179, 183, 184, 185, 186, 189, 190, 192, 194, 197, 199, 200 (13/200)	Jan 18, 2009
22...229	(2·10n+61)/9	n≤200	n=180, 181, 182, 183, 184, 186, 189, 191, 194, 195, 196, 198, 199 (13/200)	May 16, 2009
33...331	(10n-7)/3	n≤250	n=182, 183, 189, 190, 196, 199, 200, 205, 206, 207, 208, 209, 211, 215, 217, 218, 219, 221, 226, 227, 229, 230, 231, 232, 233, 235, 237, 242, 243, 247, 248, 250 (32/250)	May 27, 2009
33...337	(10n+11)/3	n≤200	n=173, 174, 178, 179, 180, 184, 185, 186, 187, 191, 192, 193, 194, 196, 197, 198, 199 (17/200)	May 27, 2009
44...441	(4·10n-31)/9	n≤200	n=172, 174, 175, 176, 180, 181, 185, 195, 196, 197, 198, 200 (12/200)	Jan 18, 2009
44...443	(4·10n-13)/9	n≤200	n=170, 172, 175, 176, 178, 179, 180, 184, 185, 188, 189, 191, 193, 195, 196, 197, 198, 200 (18/200)	Jan 18, 2009
44...447	(4·10n+23)/9	n≤200	n=178, 181, 183, 184, 185, 188, 192, 193, 195, 196, 197, 200 (12/200)	Feb 17, 2009
44...449	(4·10n+41)/9	n≤200	n=178, 179, 180, 183, 184, 186, 188, 189, 193, 199, 200 (11/200)	May 27, 2009
55...551	(5·10n-41)/9	n≤200	n=180, 181, 183, 184, 187, 189, 190, 192, 196, 198, 199, 200 (12/200)	Jan 18, 2009
55...553	(5·10n-23)/9	n≤200	n=176, 178, 179, 182, 187, 188, 192, 193, 196, 200 (10/200)	Jan 18, 2009
55...557	(5·10n+13)/9	n≤200	n=174, 175, 176, 179, 180, 181, 182, 183, 185, 187, 188, 191, 192, 193, 194, 198, 200 (17/200)	Jan 18, 2009
55...559	(5·10n+31)/9	n≤200	n=173, 174, 179, 180, 181, 182, 183, 184, 191, 194, 196 (11/200)	Apr 30, 2009
66...661	(2·10n-17)/3	n≤200	n=171, 172, 174, 175, 176, 183, 186, 190, 193, 194, 195, 197, 200 (13/200)	Jun 29, 2009
66...667	(2·10n+1)/3	n≤250	n=191, 198, 200, 201, 203, 205, 207, 208, 209, 210, 211, 212, 214, 215, 217, 218, 219, 220, 221, 222, 224, 225, 226, 227, 228, 230, 231, 232, 236, 237, 239, 241, 242, 243, 244, 246, 247, 248, 249 (39/250)	Jun 24, 2009
77...771	(7·10n-61)/9	n≤200	n=170, 178, 179, 181, 182, 187, 189, 190, 191, 193, 194, 195, 197, 198 (14/200)	Jan 18, 2009
77...773	(7·10n-43)/9	n≤250	n=186, 195, 197, 199, 200, 203, 205, 206, 208, 209, 210, 211, 212, 213, 215, 217, 218, 220, 225, 226, 227, 230, 232, 235, 236, 237, 238, 239, 240, 242, 245, 248, 249, 250 (34/250)	Jun 17, 2009
77...779	(7·10n+11)/9	n≤200	n=171, 177, 178, 180, 181, 183, 185, 187, 191, 192, 193, 194, 196, 199 (14/200)	May 27, 2009
88...881	(8·10n-71)/9	n≤200	n=171, 173, 176, 179, 180, 182, 184, 187, 188, 191, 193, 196, 197, 198, 199 (15/200)	Feb 22, 2009
88...883	(8·10n-53)/9	n≤200	n=172, 174, 176, 179, 184, 185, 186, 194, 195, 196, 197, 199 (12/200)	Mar 28, 2009
88...887	(8·10n-17)/9	n≤200	n=180, 181, 182, 183, 184, 187, 188, 189, 196, 198, 200 (11/200)	May 17, 2009
88...889	(8·10n+1)/9	n≤250	n=202, 203, 205, 206, 208, 214, 218, 220, 221, 224, 227, 229, 232, 235, 236, 238, 239, 242, 244, 248 (20/250)	May 25, 2009
99...991	10n-9	n≤250	n=201, 211, 215, 221, 229, 231, 235, 241, 243, 245, 247 (11/250)	Jun 25, 2009
99...997	10n-3	n≤200	n=181, 183, 186, 189, 192, 193, 195, 196, 198, 199 (10/200)	May 22, 2009

Near-repdigit numbers of the form ABB...BB

Form	General term	Range	Terms which have not been factored yet	Last update
133...33	(4·10n-1)/3	n≤250	n=209, 211, 213, 215, 219, 221, 229, 231, 237, 239, 247, 249 (12/250)	Jul 2, 2009
177...77	(16·10n-7)/9	n≤250	n=193, 194, 201, 202, 203, 204, 205, 206, 208, 209, 210, 212, 213, 215, 217, 218, 220, 221, 222, 223, 227, 228, 229, 230, 231, 232, 234, 235, 237, 238, 240, 241, 242, 244, 245, 246, 248 (37/250)	Jul 4, 2009
199...99	2·10n-1	n≤250	n=192, 195, 196, 197, 200, 202, 203, 205, 206, 208, 209, 212, 214, 215, 216, 218, 220, 221, 223, 224, 226, 227, 228, 229, 230, 233, 234, 235, 237, 238, 239, 240, 241, 244, 246 (35/250)	Jun 17, 2009
211...11	(19·10n-1)/9	n≤200	n=176, 178, 179, 183, 184, 185, 188, 189, 192, 194, 195, 196, 197, 200 (14/200)	Mar 13, 2009
233...33	(7·10n-1)/3	n≤200	n=173, 175, 177, 179, 182, 183, 185, 186, 187, 189, 191, 193, 194, 197, 199, 200 (16/200)	Jan 18, 2009
277...77	(25·10n-7)/9	n≤200	n=170, 175, 177, 179, 181, 182, 183, 184, 187, 192, 193, 195, 196, 197, 198, 199 (16/200)	Mar 27, 2009
299...99	3·10n-1	n≤200	n=169, 171, 172, 174, 176, 177, 178, 180, 182, 191, 192, 195, 197, 198, 199 (15/200)	May 27, 2009
311...11	(28·10n-1)/9	n≤200	n=170, 172, 175, 176, 177, 178, 180, 181, 182, 184, 187, 188, 194, 196, 197, 198, 199, 200 (18/200)	Jan 18, 2009
377...77	(34·10n-7)/9	n≤200	n=173, 174, 175, 177, 178, 179, 180, 184, 185, 186, 189, 191, 192, 197, 198 (15/200)	Apr 18, 2009
411...11	(37·10n-1)/9	n≤200	n=173, 174, 177, 178, 183, 184, 185, 187, 189, 190, 191, 193, 198, 199 (14/200)	Jan 18, 2009
433...33	(13·10n-1)/3	n≤200	n=168, 173, 176, 177, 179, 180, 181, 182, 184, 187, 189, 190, 192, 193, 194, 196, 198, 200 (18/200)	Apr 21, 2009
477...77	(43·10n-7)/9	n≤250	n=203, 207, 210, 215, 218, 221, 223, 225, 226, 227, 230, 232, 233, 235, 239, 240, 241, 242, 244, 245, 246, 247, 248, 249, 250 (25/250)	Jan 30, 2009
499...99	5·10n-1	n≤200	n=172, 173, 174, 177, 179, 180, 181, 182, 185, 186, 187, 189, 191, 193, 197, 198, 199 (17/200)	Jun 10, 2009
511...11	(46·10n-1)/9	n≤200	n=175, 176, 179, 180, 183, 184, 187, 188, 190, 192, 196, 197 (12/200)	Jan 18, 2009
533...33	(16·10n-1)/3	n≤250	n=181, 183, 185, 187, 189, 191, 193, 195, 197, 199, 213, 215, 217, 219, 221, 223, 225, 227, 229, 231, 235, 237 (22/250)	May 27, 2009
577...77	(52·10n-7)/9	n≤200	n=171, 173, 176, 178, 182, 185, 188, 190, 191, 192, 195, 198, 200 (13/200)	May 22, 2009
599...99	6·10n-1	n≤200	n=172, 174, 176, 177, 179, 180, 188, 190, 191, 193, 195, 196, 199 (13/200)	Mar 17, 2009
611...11	(55·10n-1)/9	n≤200	n=175, 177, 179, 183, 185, 186, 188, 194, 196, 197, 198 (11/200)	Mar 12, 2009
677...77	(61·10n-7)/9	n≤200	n=171, 176, 183, 184, 185, 189, 190, 191, 194, 196, 197, 200 (12/200)	Feb 27, 2009
711...11	(64·10n-1)/9	n≤350	n=205, 233, 245, 259, 263, 265, 271, 275, 277, 281, 283, 289, 293, 295, 299, 303, 305, 307, 311, 313, 315, 325, 329, 333, 335, 337, 339, 341, 345, 347, 349 (31/350)	Jun 11, 2009
733...33	(22·10n-1)/3	n≤200	n=172, 173, 179, 180, 183, 185, 186, 188, 190, 191, 192, 194, 197, 199 (14/200)	May 16, 2009
799...99	8·10n-1	n≤250	n=205, 217, 220, 223, 224, 226, 227, 230, 233, 235, 236, 239, 241, 244, 245, 248 (16/250)	Jan 22, 2009
811...11	(73·10n-1)/9	n≤250	n=188, 195, 199, 200, 201, 203, 204, 205, 206, 207, 210, 211, 212, 213, 214, 215, 216, 218, 219, 220, 221, 222, 224, 225, 227, 228, 229, 231, 233, 234, 235, 237, 239, 240, 241, 242, 243, 244, 246, 248, 249 (41/250)	May 30, 2009
833...33	(25·10n-1)/3	n≤250	n=203, 205, 207, 211, 213, 215, 217, 221, 225, 227, 229, 233, 235, 239, 243, 245, 247, 249 (18/250)	Jan 23, 2009
877...77	(79·10n-7)/9	n≤200	n=170, 177, 184, 185, 186, 188, 189, 190, 192, 193, 194, 195, 197, 198, 199 (15/200)	Jan 18, 2009
899...99	9·10n-1	n≤250	n=181, 185, 187, 189, 191, 197, 201, 203, 205, 207, 209, 211, 215, 217, 219, 221, 225, 229, 231, 235, 237, 241, 243, 245, 247 (25/250)	May 30, 2009
911...11	(82·10n-1)/9	n≤200	n=172, 176, 177, 178, 180, 181, 182, 183, 188, 189, 191, 194 (12/200)	May 20, 2009
977...77	(88·10n-7)/9	n≤200	n=173, 175, 177, 179, 181, 182, 185, 187, 188, 189, 191, 193, 197, 198, 200 (15/200)	Jan 18, 2009

Near-repdigit palindrome numbers of the form AA...AABAA...AA

Form	General term	Range	Terms which have not been factored yet	Last update
11...11311...11	(102n+1+18·10n-1)/9	n≤75	Completed / Jun 29, 2005	Jan 18, 2009
11...11411...11	(102n+1+27·10n-1)/9	n≤75	Completed / Oct 13, 2005	Jan 18, 2009
11...11511...11	(102n+1+36·10n-1)/9	n≤75	Completed / Oct 9, 2005	Jan 18, 2009
11...11611...11	(102n+1+45·10n-1)/9	n≤75	Completed / Oct 14, 2005	Jan 18, 2009
11...11711...11	(102n+1+54·10n-1)/9	n≤75	Completed / Oct 15, 2005	Jan 18, 2009
11...11811...11	(102n+1+63·10n-1)/9	n≤75	Completed / Sep 29, 2005	Jan 18, 2009
11...11911...11	(102n+1+72·10n-1)/9	n≤75	Completed / Oct 15, 2005	Jan 18, 2009
33...33133...33	(102n+1-6·10n-1)/3	n≤75	Completed / Aug 19, 2005	Jan 18, 2009
33...33533...33	(102n+1+6·10n-1)/3	n≤75	Completed / Oct 11, 2005	Jan 18, 2009
33...33733...33	(102n+1+12·10n-1)/3	n≤75	Completed / Oct 18, 2005	Jan 18, 2009
33...33833...33	(102n+1+15·10n-1)/3	n≤75	Completed / Jul 11, 2005	Jan 18, 2009
77...77177...77	(7·102n+1-54·10n-7)/9	n≤75	Completed / Sep 26, 2005	Jan 18, 2009
77...77277...77	(7·102n+1-45·10n-7)/9	n≤75	Completed / Oct 11, 2005	Jan 18, 2009
77...77377...77	(7·102n+1-36·10n-7)/9	n≤75	Completed / Oct 3, 2005	Jan 18, 2009
77...77477...77	(7·102n+1-27·10n-7)/9	n≤75	Completed / Jun 6, 2005	Jan 18, 2009
77...77577...77	(7·102n+1-18·10n-7)/9	n≤75	Completed / Oct 17, 2005	Jan 18, 2009
77...77677...77	(7·102n+1-9·10n-7)/9	n≤75	Completed / Oct 20, 2005	Jan 18, 2009
77...77877...77	(7·102n+1+9·10n-7)/9	n≤75	Completed / Oct 13, 2005	Jan 18, 2009
77...77977...77	(7·102n+1+18·10n-7)/9	n≤75	Completed / Sep 28, 2005	Jan 18, 2009
99...99199...99	102n+1-8·10n-1	n≤75	Completed / Sep 6, 2005	Jan 18, 2009
99...99299...99	102n+1-7·10n-1	n≤75	Completed / Sep 20, 2005	Jan 18, 2009
99...99499...99	102n+1-5·10n-1	n≤75	Completed / Sep 26, 2005	Jan 18, 2009
99...99599...99	102n+1-4·10n-1	n≤75	Completed / Aug 13, 2005	Jan 18, 2009
99...99799...99	102n+1-2·10n-1	n≤75	Completed / Jul 26, 2005	Jan 18, 2009
99...99899...99	102n+1-10n-1	n≤75	Completed / Jun 3, 2005	Jan 18, 2009

Plateau and depression numbers of the form ABB...BBA

Form	General term	Range	Terms which have not been factored yet	Last update
133...331	(4·10n-7)/3	n≤200	n=175, 176, 181, 184, 186, 188, 192, 194, 198, 199, 200 (11/200)	Jun 25, 2009
144...441	(13·10n-31)/9	n≤200	n=172, 173, 180, 184, 188, 190, 195, 197, 199 (9/200)	Jun 20, 2009
155...551	(14·10n-41)/9	n≤200	n=173, 174, 180, 181, 187, 188, 189, 191, 192, 193, 194, 195, 196, 197, 199, 200 (16/200)	Jun 20, 2009
166...661	(5·10n-17)/3	n≤200	n=172, 174, 175, 176, 180, 181, 184, 186, 187, 190, 194, 195, 196, 197, 200 (15/200)	May 19, 2009
177...771	(16·10n-61)/9	n≤250	n=170, 173, 176, 177, 179, 182, 183, 184, 185, 188, 193, 194, 198, 202, 203, 204, 207, 208, 209, 212, 213, 216, 217, 218, 219, 221, 222, 223, 230, 231, 232, 233, 234, 239, 242, 244, 248 (37/250)	Jun 20, 2009
188...881	(17·10n-71)/9	n≤200	n=174, 180, 181, 182, 183, 184, 185, 186, 189, 191, 192, 193, 195, 197, 198, 199, 200 (17/200)	May 19, 2009
199...991	2·10n-9	n≤200	n=172, 174, 176, 178, 182, 185, 186, 188, 189, 190, 193, 195, 196, 197, 198, 199 (16/200)	Jun 21, 2009
311...113	(28·10n+17)/9	n≤200	n=172, 177, 178, 180, 182, 186, 187, 189, 194, 195, 198, 199, 200 (13/200)	May 28, 2009
322...223	(29·10n+7)/9	n≤200	n=171, 172, 175, 177, 180, 182, 188, 190, 192, 193, 196, 198 (12/200)	Jan 18, 2009
344...443	(31·10n-13)/9	n≤200	n=171, 173, 178, 180, 183, 190, 193, 195, 197, 199, 200 (11/200)	Jun 13, 2009
355...553	(32·10n-23)/9	n≤200	n=169, 170, 174, 175, 180, 181, 184, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200 (17/200)	Jun 11, 2009
377...773	(34·10n-43)/9	n≤200	n=170, 178, 181, 183, 187, 188, 189, 190, 192, 194, 195, 197, 198, 199, 200 (15/200)	Jun 23, 2009
388...883	(35·10n-53)/9	n≤200	n=172, 173, 176, 179, 183, 184, 185, 187, 189, 190, 191, 195, 197, 200 (14/200)	Mar 7, 2009
711...117	(64·10n+53)/9	n≤250	n=173, 179, 182, 187, 188, 189, 191, 195, 197, 200, 203, 204, 207, 209, 210, 211, 212, 213, 216, 217, 222, 224, 227, 230, 231, 233, 235, 236, 237, 239, 240, 241, 243, 247, 249, 250 (36/250)	Jan 18, 2009
722...227	(65·10n+43)/9	n≤200	n=172, 176, 177, 179, 182, 184, 185, 189, 191, 192, 194, 196, 197, 199 (14/200)	Jun 13, 2009
744...447	(67·10n+23)/9	n≤200	n=178, 180, 182, 192, 193, 194, 195, 196, 198, 200 (10/200)	Mar 18, 2009
755...557	(68·10n+13)/9	n≤200	n=174, 175, 178, 181, 182, 186, 189, 190, 191, 193, 197, 199, 200 (13/200)	Jun 25, 2009
766...667	(23·10n+1)/3	n≤200	n=172, 176, 180, 181, 184, 186, 189, 190, 191, 192, 194, 197, 198, 199 (14/200)	Jun 8, 2009
788...887	(71·10n-17)/9	n≤200	n=173, 179, 180, 181, 185, 186, 189, 191, 193, 194, 195, 196, 198 (13/200)	Jan 18, 2009
799...997	8·10n-3	n≤200	n=174, 176, 177, 181, 186, 188, 190, 191, 193, 195, 199, 200 (12/200)	Jun 10, 2009
911...119	(82·10n+71)/9	n≤200	n=173, 174, 177, 179, 180, 181, 187, 189, 190, 192, 196, 198, 200 (13/200)	Apr 15, 2009
922...229	(83·10n+61)/9	n≤200	n=171, 173, 175, 177, 179, 181, 184, 187, 191, 192, 193, 195, 196, 197, 199, 200 (16/200)	Jan 18, 2009
944...449	(85·10n+41)/9	n≤200	n=172, 173, 175, 176, 178, 181, 182, 187, 188, 190, 191, 193, 194, 197, 198, 199 (16/200)	Jun 27, 2009
955...559	(86·10n+31)/9	n≤200	n=175, 179, 180, 183, 185, 186, 188, 191, 196, 198, 200 (11/200)	Feb 26, 2009
988...889	(89·10n+1)/9	n≤200	n=176, 181, 182, 184, 188, 192, 195, 196, 198, 200 (10/200)	Jun 24, 2009

Quasi-repdigit numbers of the form ABB...BBC

Form	General term	Range	Terms which have not been factored yet	Last update
100...003	10n+3	n≤250	n=194, 200, 201, 203, 205, 212, 216, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 233, 234, 236, 239, 240, 241, 242, 243, 244, 245, 247, 248, 250 (34/250)	Jan 18, 2009
100...007	10n+7	n≤200	n=178, 180, 181, 182, 183, 189, 191, 192, 194, 196, 198, 199, 200 (13/200)	Jan 18, 2009
100...009	10n+9	n≤200	n=176, 179, 182, 183, 186, 190, 195, 196, 198 (9/200)	Jan 18, 2009
122...223	(11·10n+7)/9	n≤200	n=171, 178, 180, 181, 182, 183, 188, 189, 190, 192, 194, 196, 197, 199, 200 (15/200)	Jan 18, 2009
122...227	(11·10n+43)/9	n≤200	n=172, 177, 178, 182, 183, 185, 186, 187, 190, 191, 192, 194, 199 (13/200)	Feb 22, 2009
122...229	(11·10n+61)/9	n≤200	n=174, 176, 181, 183, 188, 189, 190, 191, 193, 194, 195, 196, 197, 199 (14/200)	Jan 18, 2009
133...337	(4·10n+11)/3	n≤200	n=171, 172, 174, 179, 182, 183, 185, 189, 191, 193, 194, 195, 197, 200 (14/200)	Jan 18, 2009
133...339	(4·10n+17)/3	n≤200	n=171, 172, 173, 174, 178, 179, 180, 183, 185, 188, 189, 191, 193, 197, 199 (15/200)	Apr 23, 2009
144...447	(13·10n+23)/9	n≤200	n=172, 175, 176, 177, 179, 180, 186, 189, 190, 191, 192, 196, 197 (13/200)	Jan 18, 2009
144...449	(13·10n+41)/9	n≤200	n=171, 173, 180, 183, 184, 185, 186, 188, 190, 192, 194, 197, 198, 200 (14/200)	May 22, 2009
155...553	(14·10n-23)/9	n≤200	n=174, 176, 177, 182, 184, 186, 187, 188, 191, 194, 195, 196, 197, 198 (14/200)	Jan 18, 2009
155...557	(14·10n+13)/9	n≤200	n=171, 172, 173, 175, 176, 177, 180, 182, 186, 187, 188, 189, 190, 192, 194, 195, 196 (17/200)	Jan 18, 2009
155...559	(14·10n+31)/9	n≤200	n=172, 173, 178, 181, 185, 187, 189, 191, 193, 197, 199, 200 (12/200)	Jan 18, 2009
166...663	(5·10n-11)/3	n≤200	n=171, 178, 179, 180, 182, 183, 184, 185, 186, 191, 192, 194, 195, 196, 200 (15/200)	May 22, 2009
166...667	(5·10n+1)/3	n≤200	n=177, 180, 182, 183, 184, 187, 188, 190, 191, 194, 197, 198 (12/200)	Mar 16, 2009
166...669	(5·10n+7)/3	n≤200	n=175, 176, 183, 192, 194, 196, 199, 200 (8/200)	Feb 13, 2009
177...773	(16·10n-43)/9	n≤200	n=174, 175, 179, 182, 183, 186, 189, 197, 198, 200 (10/200)	Jan 18, 2009
177...779	(16·10n+11)/9	n≤200	n=174, 175, 182, 185, 189, 191, 192, 193, 194, 197, 199, 200 (12/200)	Jan 18, 2009
188...883	(17·10n-53)/9	n≤200	n=172, 175, 177, 179, 180, 181, 184, 188, 192, 193, 194, 195, 196 (13/200)	Apr 25, 2009
188...889	(17·10n+1)/9	n≤200	n=172, 175, 176, 177, 178, 180, 182, 186, 187, 191, 193, 194, 196, 197, 198, 199 (16/200)	Apr 18, 2009
199...993	2·10n-7	n≤200	n=173, 179, 181, 182, 190, 193, 194, 195, 196, 197, 199 (11/200)	Apr 21, 2009
199...997	2·10n-3	n≤200	n=172, 178, 179, 183, 185, 187, 193, 195, 196 (9/200)	May 17, 2009
200...003	2·10n+3	n≤200	n=177, 179, 180, 181, 182, 186, 190, 192, 193, 194, 196, 198, 199, 200 (14/200)	May 8, 2009
200...009	2·10n+9	n≤200	n=178, 179, 180, 181, 183, 185, 186, 189, 191, 193, 194, 195, 196, 197, 200 (15/200)	Jun 13, 2009
211...113	(19·10n+17)/9	n≤200	n=174, 183, 186, 187, 188, 189, 191, 193, 194, 196, 197 (11/200)	Jan 18, 2009
211...117	(19·10n+53)/9	n≤200	n=174, 178, 180, 185, 186, 188, 189, 191, 192, 195, 199 (11/200)	Jan 18, 2009
211...119	(19·10n+71)/9	n≤200	n=170, 171, 172, 174, 179, 180, 182, 183, 185, 186, 188, 189, 191, 192, 194, 195, 198, 199, 200 (19/200)	Jun 23, 2009
233...339	(7·10n+17)/3	n≤200	n=175, 176, 181, 186, 188, 190, 191, 192, 193, 196, 197 (11/200)	Apr 15, 2009
244...441	(22·10n-31)/9	n≤200	n=170, 175, 176, 177, 178, 181, 187, 189, 190, 191, 195, 196, 198 (13/200)	Jun 25, 2009
244...443	(22·10n-13)/9	n≤205	n=175, 180, 181, 188, 189, 193, 194, 197, 198, 201, 203, 205 (12/205)	Jun 25, 2009
244...447	(22·10n+23)/9	n≤205	n=172, 173, 179, 182, 185, 186, 187, 189, 190, 192, 193, 195, 196, 197, 198, 200, 201, 203 (18/205)	Jan 18, 2009
244...449	(22·10n+41)/9	n≤205	n=175, 177, 178, 179, 185, 188, 190, 191, 192, 193, 194, 199, 200, 202, 205 (15/205)	Jan 18, 2009
255...551	(23·10n-41)/9	n≤205	n=174, 175, 181, 182, 184, 187, 192, 193, 194, 197, 199, 200, 202, 205 (14/205)	Jun 24, 2009
255...557	(23·10n+13)/9	n≤205	n=172, 175, 176, 177, 181, 182, 185, 190, 192, 193, 194, 195, 196, 199 (14/205)	Jan 18, 2009
255...559	(23·10n+31)/9	n≤205	n=172, 173, 175, 176, 178, 179, 180, 182, 183, 185, 188, 189, 190, 191, 192, 194, 195, 197, 198, 199, 200, 201, 202, 205 (24/205)	Jan 18, 2009
266...663	(8·10n-11)/3	n≤205	n=175, 177, 178, 181, 182, 183, 184, 185, 189, 190, 191, 193, 194, 195, 198, 199, 200, 201, 202, 204, 205 (21/205)	Apr 23, 2009
266...669	(8·10n+7)/3	n≤200	n=180, 182, 184, 187, 197, 198 (6/200)	Jun 27, 2009
277...771	(25·10n-61)/9	n≤205	n=174, 175, 176, 178, 179, 180, 183, 186, 187, 188, 192, 193, 198, 200, 201 (15/205)	Mar 31, 2009
277...773	(25·10n-43)/9	n≤205	n=174, 175, 178, 187, 188, 190, 191, 192, 193, 194, 196, 198, 199, 200, 201, 204 (16/205)	Jan 18, 2009
277...779	(25·10n+11)/9	n≤205	n=169, 174, 175, 176, 178, 179, 180, 182, 186, 187, 188, 189, 190, 193, 195, 198, 199, 201, 203 (19/205)	Apr 21, 2009
288...881	(26·10n-71)/9	n≤205	n=173, 174, 175, 177, 178, 179, 180, 184, 185, 189, 190, 191, 196, 200, 202, 204 (16/205)	Jan 18, 2009
288...883	(26·10n-53)/9	n≤205	n=177, 178, 179, 182, 183, 184, 187, 188, 190, 191, 192, 194, 199, 200, 201, 203, 205 (17/205)	Jan 18, 2009
288...887	(26·10n-17)/9	n≤205	n=184, 186, 189, 191, 194, 198, 199, 200, 201, 202, 205 (11/205)	May 3, 2009
288...889	(26·10n+1)/9	n≤205	n=174, 175, 176, 177, 180, 182, 183, 184, 185, 186, 187, 190, 191, 192, 196, 198, 199, 200, 201, 202, 204, 205 (22/205)	Jun 12, 2009
299...993	3·10n-7	n≤200	n=176, 180, 188, 191, 193, 194, 195, 196, 198 (9/200)	Mar 17, 2009
300...001	3·10n+1	n≤200	n=173, 174, 175, 176, 182, 183, 193, 194, 195, 196, 197, 200 (12/200)	Jun 15, 2009
300...007	3·10n+7	n≤200	n=173, 178, 180, 182, 183, 187, 188, 189, 190, 192, 195, 196, 198, 199, 200 (15/200)	Apr 14, 2009
311...117	(28·10n+53)/9	n≤205	n=171, 176, 178, 180, 181, 184, 190, 191, 195, 196, 199, 201, 202, 203, 204 (15/205)	Jan 18, 2009
311...119	(28·10n+71)/9	n≤205	n=170, 172, 175, 183, 187, 188, 190, 192, 195, 198, 199, 200, 203, 204, 205 (15/205)	Apr 18, 2009
322...221	(29·10n-11)/9	n≤205	n=168, 171, 173, 174, 175, 180, 181, 184, 186, 187, 188, 189, 194, 195, 196, 197, 200, 202, 203, 205 (20/205)	May 27, 2009
322...227	(29·10n+43)/9	n≤205	n=170, 171, 174, 177, 182, 183, 185, 187, 189, 191, 194, 195, 198, 200, 202, 203, 204, 205 (18/205)	Apr 17, 2009
322...229	(29·10n+61)/9	n≤205	n=170, 171, 173, 175, 177, 178, 179, 181, 182, 185, 188, 189, 191, 196, 199, 203, 204 (17/205)	Jan 18, 2009
344...447	(31·10n+23)/9	n≤205	n=169, 174, 178, 179, 180, 181, 183, 186, 187, 188, 189, 193, 194, 196, 197, 198, 201, 203 (18/205)	May 6, 2009
344...449	(31·10n+41)/9	n≤205	n=170, 174, 175, 177, 181, 182, 183, 187, 188, 190, 193, 194, 196, 197, 198, 201, 202, 204 (18/205)	Mar 16, 2009
355...551	(32·10n-41)/9	n≤205	n=174, 176, 179, 180, 184, 185, 189, 191, 192, 195, 199, 200, 202 (13/205)	May 22, 2009
355...557	(32·10n+13)/9	n≤205	n=169, 174, 178, 179, 182, 183, 184, 185, 186, 190, 192, 196, 197, 198, 199, 203, 204 (17/205)	Jun 16, 2009
355...559	(32·10n+31)/9	n≤205	n=172, 175, 182, 183, 184, 187, 191, 192, 197, 198, 203, 205 (12/205)	Jun 27, 2009
366...661	(11·10n-17)/3	n≤205	n=174, 179, 182, 186, 187, 189, 190, 192, 194, 200, 202, 203 (12/205)	Jun 16, 2009
366...667	(11·10n+1)/3	n≤205	n=175, 176, 178, 179, 181, 183, 184, 185, 186, 188, 189, 190, 193, 195, 197, 198, 200, 203, 204, 205 (20/205)	Apr 3, 2009
377...771	(34·10n-61)/9	n≤205	n=170, 172, 176, 179, 187, 191, 192, 193, 194, 195, 196, 197, 201, 204, 205 (15/205)	Feb 2, 2009
377...779	(34·10n+11)/9	n≤205	n=162, 168, 169, 172, 174, 176, 178, 179, 182, 183, 187, 188, 189, 197, 199, 200, 201, 203, 204, 205 (20/205)	Apr 6, 2009
388...881	(35·10n-71)/9	n≤205	n=172, 173, 174, 181, 183, 184, 185, 186, 190, 194, 195, 197, 198, 201, 202, 204, 205 (17/205)	Apr 24, 2009
388...887	(35·10n-17)/9	n≤205	n=173, 175, 177, 183, 185, 188, 190, 195, 197, 198, 199, 200, 201, 204 (14/205)	Jun 27, 2009
388...889	(35·10n+1)/9	n≤205	n=171, 172, 175, 176, 181, 182, 185, 186, 195, 196, 197, 198, 200, 201, 202, 205 (16/205)	Mar 6, 2009
399...991	4·10n-9	n≤250	n=189, 191, 193, 203, 205, 207, 209, 211, 213, 221, 225, 235, 237, 239, 243, 245, 247, 249 (18/250)	Jun 28, 2009
399...997	4·10n-3	n≤200	n=174, 177, 181, 184, 185, 186, 188, 189, 190, 191, 192, 193, 199 (13/200)	Jan 18, 2009
400...001	4·10n+1	n≤250	n=202, 206, 210, 211, 213, 215, 219, 222, 225, 226, 227, 231, 233, 235, 237, 238, 239, 243, 245, 246, 247, 250 (22/250)	May 25, 2009
400...003	4·10n+3	n≤200	n=171, 179, 189, 190, 191, 193, 195, 199, 200 (9/200)	Jan 18, 2009
400...007	4·10n+7	n≤200	n=171, 174, 176, 178, 179, 184, 186, 187, 188, 192, 193, 196, 197, 199 (14/200)	May 20, 2009
400...009	4·10n+9	n≤250	n=184, 186, 190, 197, 201, 204, 207, 208, 209, 211, 213, 214, 215, 218, 220, 221, 223, 224, 225, 226, 227, 228, 230, 231, 232, 233, 234, 235, 238, 239, 240, 241, 243, 244, 245, 246, 247, 248, 249 (39/250)	May 12, 2009
411...113	(37·10n+17)/9	n≤205	n=170, 171, 172, 176, 179, 181, 183, 184, 185, 187, 188, 189, 191, 192, 193, 194, 197, 198, 199, 202 (20/205)	Apr 20, 2009
411...117	(37·10n+53)/9	n≤205	n=169, 170, 174, 175, 180, 181, 182, 183, 184, 185, 191, 192, 193, 194, 197, 198, 202, 203, 204, 205 (20/205)	Apr 5, 2009
411...119	(37·10n+71)/9	n≤205	n=185, 187, 188, 189, 190, 195, 196, 197, 204 (9/205)	May 10, 2009
422...221	(38·10n-11)/9	n≤205	n=169, 171, 172, 176, 179, 180, 182, 186, 190, 193, 194, 197, 198, 199, 201, 202, 203, 204, 205 (19/205)	May 14, 2009
422...223	(38·10n+7)/9	n≤205	n=168, 173, 175, 178, 179, 180, 184, 186, 187, 188, 190, 192, 194, 196, 197, 198, 199, 200, 201, 202, 203, 204 (22/205)	Jan 18, 2009
422...227	(38·10n+43)/9	n≤205	n=171, 174, 179, 182, 185, 186, 187, 190, 191, 194, 199, 200, 201, 202 (14/205)	Apr 29, 2009
422...229	(38·10n+61)/9	n≤205	n=170, 172, 175, 179, 183, 184, 188, 189, 193, 197, 201, 202, 204, 205 (14/205)	Mar 15, 2009
433...331	(13·10n-7)/3	n≤205	n=173, 175, 176, 181, 183, 184, 186, 187, 192, 193, 195, 200, 201 (13/205)	Jun 23, 2009
433...337	(13·10n+11)/3	n≤205	n=178, 179, 181, 184, 186, 187, 188, 195, 198, 199, 200, 203, 204 (13/205)	Mar 9, 2009
433...339	(13·10n+17)/3	n≤205	n=171, 179, 187, 191, 196, 197, 198, 200, 201, 202 (10/205)	Apr 21, 2009
455...553	(41·10n-23)/9	n≤205	n=172, 175, 179, 187, 188, 189, 190, 192, 193, 195, 196, 199, 201, 202, 204, 205 (16/205)	May 9, 2009
455...557	(41·10n+13)/9	n≤205	n=177, 178, 179, 186, 190, 191, 192, 193, 195, 197, 198, 199, 202, 203, 204 (15/205)	Jun 23, 2009
455...559	(41·10n+31)/9	n≤205	n=174, 175, 176, 180, 183, 187, 188, 193, 194, 197, 201, 205 (12/205)	May 10, 2009
466...661	(14·10n-17)/3	n≤205	n=173, 176, 177, 178, 179, 181, 183, 184, 186, 187, 188, 190, 193, 197, 198, 199, 202, 203, 205 (19/205)	Jun 27, 2009
466...663	(14·10n-11)/3	n≤205	n=170, 173, 174, 176, 177, 180, 181, 182, 183, 184, 186, 187, 188, 189, 190, 191, 192, 196, 198, 199, 202, 203 (22/205)	May 8, 2009
466...667	(14·10n+1)/3	n≤205	n=171, 176, 177, 181, 182, 183, 186, 187, 188, 189, 190, 191, 198, 201, 202, 203, 205 (17/205)	Mar 29, 2009
477...771	(43·10n-61)/9	n≤205	n=168, 170, 172, 175, 178, 182, 183, 185, 186, 188, 191, 194, 195, 197, 198, 200, 203 (17/205)	Apr 15, 2009
477...779	(43·10n+11)/9	n≤205	n=169, 171, 174, 176, 177, 181, 182, 187, 188, 191, 194, 195, 196, 200, 201, 202, 205 (17/205)	Apr 16, 2009
488...881	(44·10n-71)/9	n≤205	n=169, 171, 175, 180, 181, 183, 184, 185, 186, 188, 190, 191, 192, 193, 194, 195, 197, 199, 200, 201, 202, 204 (22/205)	Mar 5, 2009
488...883	(44·10n-53)/9	n≤205	n=169, 174, 176, 177, 179, 180, 181, 182, 183, 184, 185, 188, 189, 191, 193, 194, 197, 198, 201, 203, 204 (21/205)	May 6, 2009
488...887	(44·10n-17)/9	n≤205	n=170, 172, 174, 179, 183, 184, 185, 187, 189, 190, 194, 196, 198, 199, 200, 201, 203, 205 (18/205)	Mar 11, 2009
488...889	(44·10n+1)/9	n≤205	n=174, 177, 178, 181, 183, 188, 190, 191, 193, 194, 195, 196, 198, 199, 200, 201, 202, 203, 204 (19/205)	Apr 18, 2009
499...991	5·10n-9	n≤200	n=175, 176, 177, 178, 181, 182, 183, 186, 187, 188, 192, 195, 196, 200 (14/200)	May 16, 2009
499...993	5·10n-7	n≤200	n=172, 174, 177, 183, 185, 187, 191, 192, 198 (9/200)	Apr 14, 2009
499...997	5·10n-3	n≤200	n=170, 173, 175, 176, 181, 183, 185, 187, 188, 189, 190, 191, 193, 194, 195, 197, 200 (17/200)	Jan 18, 2009
500...003	5·10n+3	n≤200	n=171, 174, 177, 178, 182, 184, 190, 193, 194, 195, 197, 199, 200 (13/200)	Apr 24, 2009
500...009	5·10n+9	n≤200	n=172, 173, 176, 180, 181, 182, 183, 184, 185, 190, 193, 197, 198, 199, 200 (15/200)	Jun 24, 2009
511...113	(46·10n+17)/9	n≤205	n=174, 175, 182, 183, 187, 188, 189, 190, 191, 192, 193, 196, 199, 201, 203, 204, 205 (17/205)	Jun 12, 2009
511...117	(46·10n+53)/9	n≤205	n=171, 172, 173, 178, 179, 180, 181, 183, 184, 188, 189, 190, 191, 192, 194, 197, 199, 203, 205 (19/205)	Jun 11, 2009
511...119	(46·10n+71)/9	n≤205	n=169, 174, 177, 179, 181, 183, 184, 185, 186, 187, 190, 191, 192, 194, 197, 201, 202, 203, 204, 205 (20/205)	Jun 23, 2009
522...221	(47·10n-11)/9	n≤205	n=173, 174, 175, 178, 180, 181, 182, 184, 185, 186, 187, 191, 194, 195, 196, 199, 203, 205 (18/205)	May 14, 2009
522...223	(47·10n+7)/9	n≤205	n=170, 172, 175, 176, 180, 182, 189, 192, 198, 201, 203, 205 (12/205)	Jun 29, 2009
522...227	(47·10n+43)/9	n≤205	n=169, 173, 175, 176, 178, 181, 182, 183, 184, 187, 190, 191, 192, 196, 199, 201, 202, 203, 205 (19/205)	Apr 11, 2009
522...229	(47·10n+61)/9	n≤205	n=172, 176, 177, 178, 180, 181, 183, 185, 189, 190, 192, 194, 200, 201, 202, 204, 205 (17/205)	Jun 24, 2009
533...339	(16·10n+17)/3	n≤205	n=172, 173, 174, 176, 179, 181, 184, 185, 187, 188, 189, 191, 192, 198, 199, 200, 201, 202, 204, 205 (20/205)	Apr 5, 2009
544...441	(49·10n-31)/9	n≤205	n=175, 177, 179, 180, 181, 182, 183, 184, 186, 187, 189, 190, 192, 193, 194, 195, 200, 201, 202, 204 (20/205)	May 30, 2009
544...443	(49·10n-13)/9	n≤205	n=168, 171, 174, 175, 176, 179, 181, 184, 187, 189, 191, 192, 195, 197, 201, 203, 204 (17/205)	Jun 24, 2009
544...447	(49·10n+23)/9	n≤205	n=170, 172, 176, 179, 182, 184, 186, 188, 189, 191, 193, 194, 196, 199, 201, 202, 203, 204, 205 (19/205)	May 8, 2009
544...449	(49·10n+41)/9	n≤205	n=179, 180, 181, 182, 183, 185, 189, 190, 191, 192, 193, 195, 201, 202, 203, 204 (16/205)	Apr 18, 2009
566...663	(17·10n-11)/3	n≤205	n=173, 174, 176, 178, 181, 182, 184, 187, 188, 189, 190, 192, 197, 198, 199, 203, 204, 205 (18/205)	Jul 2, 2009
566...669	(17·10n+7)/3	n≤205	n=171, 172, 175, 177, 178, 179, 181, 184, 186, 188, 189, 191, 193, 194, 196, 197, 198, 199, 201, 202, 203 (21/205)	Jun 17, 2009
577...771	(52·10n-61)/9	n≤205	n=175, 176, 179, 181, 182, 183, 188, 190, 192, 194, 195, 196, 197, 198, 199, 201, 202, 204 (18/205)	Jun 20, 2009
577...773	(52·10n-43)/9	n≤205	n=170, 171, 172, 174, 177, 179, 180, 182, 185, 186, 187, 188, 189, 190, 191, 194, 196, 198, 199, 201, 202, 203, 204, 205 (24/205)	Jun 23, 2009
577...779	(52·10n+11)/9	n≤205	n=169, 171, 176, 179, 185, 186, 187, 191, 192, 193, 194, 198, 199, 201, 202, 203, 205 (17/205)	Jun 17, 2009
588...881	(53·10n-71)/9	n≤205	n=169, 170, 171, 172, 174, 176, 177, 179, 180, 181, 182, 184, 185, 186, 187, 188, 189, 190, 193, 196, 198, 199, 200, 201, 202, 203, 205 (27/205)	May 14, 2009
588...887	(53·10n-17)/9	n≤205	n=170, 172, 173, 174, 175, 181, 182, 183, 185, 186, 188, 189, 190, 192, 193, 196, 199, 204, 205 (19/205)	Jun 29, 2009
588...889	(53·10n+1)/9	n≤205	n=175, 177, 178, 180, 181, 182, 184, 186, 188, 189, 191, 192, 194, 196, 198, 200, 201, 203, 205 (19/205)	Jul 2, 2009
599...993	6·10n-7	n≤200	n=174, 177, 178, 181, 182, 186, 187, 188, 191, 192, 195, 198, 199, 200 (14/200)	Apr 29, 2009
600...001	6·10n+1	n≤250	n=177, 180, 201, 203, 204, 206, 207, 208, 209, 210, 212, 213, 215, 216, 217, 218, 219, 220, 222, 223, 226, 227, 228, 231, 232, 233, 234, 235, 237, 238, 239, 240, 242, 243, 245, 246, 247, 249 (38/250)	Jul 2, 2009
600...007	6·10n+7	n≤200	n=170, 174, 175, 177, 181, 184, 186, 189, 190, 191, 193, 196, 197, 198, 199 (15/200)	Jan 18, 2009
611...113	(55·10n+17)/9	n≤205	n=174, 176, 177, 178, 182, 184, 185, 186, 187, 189, 195, 196, 197, 202, 204, 205 (16/205)	Jun 25, 2009
611...117	(55·10n+53)/9	n≤205	n=170, 174, 175, 176, 177, 180, 181, 182, 183, 184, 185, 187, 188, 189, 190, 193, 195, 196, 201, 203 (20/205)	Jun 29, 2009
611...119	(55·10n+71)/9	n≤205	n=172, 175, 177, 178, 179, 180, 182, 184, 185, 187, 188, 189, 193, 194, 195, 198, 200, 202, 203, 204, 205 (21/205)	Jun 12, 2009
622...221	(56·10n-11)/9	n≤205	n=170, 172, 177, 181, 184, 187, 188, 191, 193, 195, 196, 197, 200, 202, 203, 204, 205 (17/205)	Jun 20, 2009
622...227	(56·10n+43)/9	n≤205	n=177, 180, 182, 183, 185, 187, 188, 192, 194, 195, 196, 197, 198, 201, 203 (15/205)	Jun 29, 2009
622...229	(56·10n+61)/9	n≤205	n=171, 172, 175, 178, 179, 180, 181, 182, 183, 184, 188, 189, 193, 194, 195, 197, 198, 201, 202, 203, 204, 205 (22/205)	Jun 15, 2009
633...331	(19·10n-7)/3	n≤205	n=170, 171, 173, 174, 177, 182, 185, 187, 189, 191, 192, 193, 194, 195, 196, 198, 199, 201, 202 (19/205)	Jul 1, 2009
633...337	(19·10n+11)/3	n≤205	n=169, 173, 174, 177, 179, 180, 183, 186, 187, 188, 190, 193, 195, 196, 198, 200, 203, 204 (18/205)	Jul 4, 2009
644...441	(58·10n-31)/9	n≤205	n=172, 176, 180, 183, 184, 185, 186, 187, 190, 191, 192, 194, 197, 198, 199, 200, 201, 203, 204, 205 (20/205)	Jun 20, 2009
644...443	(58·10n-13)/9	n≤205	n=164, 169, 176, 177, 178, 181, 184, 187, 188, 193, 194, 196, 197, 199, 200, 202, 203, 204, 205 (19/205)	Jul 3, 2009
644...447	(58·10n+23)/9	n≤100	Completed / Jan 5, 2005	Jan 18, 2009
644...449	(58·10n+41)/9	n≤100	Completed / Jan 5, 2005	Jan 18, 2009
655...551	(59·10n-41)/9	n≤100	Completed / Jan 5, 2005	Jan 18, 2009
655...553	(59·10n-23)/9	n≤100	Completed / Jan 5, 2005	Jan 18, 2009
655...557	(59·10n+13)/9	n≤100	Completed / Dec 6, 2004	Jan 18, 2009
655...559	(59·10n+31)/9	n≤100	Completed / Jan 5, 2005	Jan 18, 2009
677...773	(61·10n-43)/9	n≤100	Completed / Jan 5, 2005	Jan 18, 2009
677...779	(61·10n+11)/9	n≤100	Completed / Jan 5, 2005	Jan 18, 2009
688...881	(62·10n-71)/9	n≤100	Completed / Jan 5, 2005	Jan 18, 2009
688...883	(62·10n-53)/9	n≤100	Completed / Jan 5, 2005	Jan 18, 2009
688...887	(62·10n-17)/9	n≤100	Completed / Jan 5, 2005	Jan 18, 2009
688...889	(62·10n+1)/9	n≤100	Completed / Dec 6, 2004	Jan 18, 2009
699...991	7·10n-9	n≤200	n=173, 177, 179, 183, 185, 188, 189, 192, 193, 195 (10/200)	May 12, 2009
699...997	7·10n-3	n≤200	n=180, 182, 184, 188, 189, 192, 196, 197, 198, 199 (10/200)	May 17, 2009
700...001	7·10n+1	n≤200	n=172, 177, 180, 181, 184, 185, 186, 191, 193, 195, 196, 197, 199 (13/200)	Apr 23, 2009
700...003	7·10n+3	n≤200	n=173, 179, 180, 181, 183, 184, 186, 194, 195, 196, 197, 198 (12/200)	Jan 18, 2009
700...009	7·10n+9	n≤200	n=169, 183, 185, 186, 190, 193, 194, 197, 198, 200 (10/200)	May 10, 2009
711...113	(64·10n+17)/9	n≤100	Completed / Jan 6, 2005	Jan 18, 2009
711...119	(64·10n+71)/9	n≤100	Completed / Jan 6, 2005	Jan 18, 2009
722...221	(65·10n-11)/9	n≤100	Completed / Dec 6, 2004	Feb 22, 2009
722...223	(65·10n+7)/9	n≤100	Completed / Dec 6, 2004	Jan 18, 2009
722...229	(65·10n+61)/9	n≤100	Completed / Jan 6, 2005	Jan 18, 2009
733...331	(22·10n-7)/3	n≤100	Completed / Jan 6, 2005	Feb 22, 2009
733...339	(22·10n+17)/3	n≤100	Completed / Jan 6, 2005	Jan 18, 2009
744...441	(67·10n-31)/9	n≤100	Completed / Dec 6, 2004	Jan 18, 2009
744...443	(67·10n-13)/9	n≤100	Completed / Jan 6, 2005	Jan 18, 2009
744...449	(67·10n+41)/9	n≤100	Completed / Dec 6, 2004	Jan 18, 2009
755...551	(68·10n-41)/9	n≤100	Completed / Jan 6, 2005	Jan 18, 2009
755...553	(68·10n-23)/9	n≤100	Completed / Dec 6, 2004	Jan 18, 2009
755...559	(68·10n+31)/9	n≤100	Completed / Nov 29, 2004	Jan 18, 2009
766...661	(23·10n-17)/3	n≤100	Completed / Jan 7, 2005	Jan 18, 2009
766...663	(23·10n-11)/3	n≤100	Completed / Jan 7, 2005	Jan 18, 2009
766...669	(23·10n+7)/3	n≤100	Completed / Jan 7, 2005	Jan 18, 2009
788...883	(71·10n-53)/9	n≤100	Completed / Jan 7, 2005	Jan 18, 2009
788...889	(71·10n+1)/9	n≤100	Completed / Dec 6, 2004	Jan 18, 2009
799...991	8·10n-9	n≤200	n=177, 186, 188, 189, 191, 196, 197 (7/200)	May 24, 2009
799...993	8·10n-7	n≤200	n=173, 176, 178, 180, 185, 187, 190, 192, 193, 197, 198, 199, 200 (13/200)	Feb 15, 2009
800...003	8·10n+3	n≤200	n=173, 174, 179, 180, 182, 183, 184, 186, 188, 190, 191, 192, 193, 195, 197, 198, 199, 200 (18/200)	May 17, 2009
800...009	8·10n+9	n≤200	n=173, 178, 179, 191, 192, 193, 195, 196 (8/200)	Jun 12, 2009
811...113	(73·10n+17)/9	n≤100	Completed / Jan 7, 2005	Jan 18, 2009
811...117	(73·10n+53)/9	n≤100	Completed / Jan 7, 2005	Jan 18, 2009
811...119	(73·10n+71)/9	n≤100	Completed / Jan 6, 2005	Jan 18, 2009
822...221	(74·10n-11)/9	n≤100	Completed / Jan 7, 2005	Jan 18, 2009
822...223	(74·10n+7)/9	n≤100	Completed / Jan 7, 2005	Jan 18, 2009
822...227	(74·10n+43)/9	n≤100	Completed / Jan 7, 2005	Jan 18, 2009
822...229	(74·10n+61)/9	n≤100	Completed / Jan 6, 2005	Jan 18, 2009
833...339	(25·10n+17)/3	n≤100	Completed / Jan 7, 2005	Jan 18, 2009
844...441	(76·10n-31)/9	n≤100	Completed / Jan 7, 2005	Feb 27, 2009
844...443	(76·10n-13)/9	n≤100	Completed / Jan 7, 2005	Jan 18, 2009
844...447	(76·10n+23)/9	n≤100	Completed / Jan 6, 2005	Jan 18, 2009
844...449	(76·10n+41)/9	n≤100	Completed / Jan 7, 2005	Jan 18, 2009
855...551	(77·10n-41)/9	n≤100	Completed / Dec 6, 2004	Jan 18, 2009
855...553	(77·10n-23)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
855...557	(77·10n+13)/9	n≤100	Completed / Dec 6, 2004	Jan 18, 2009
855...559	(77·10n+31)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
866...663	(26·10n-11)/3	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
866...669	(26·10n+7)/3	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
877...771	(79·10n-61)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
877...773	(79·10n-43)/9	n≤100	Completed / Nov 29, 2004	Jan 18, 2009
877...779	(79·10n+11)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
899...993	9·10n-7	n≤200	n=172, 175, 176, 177, 179, 183, 185, 186, 187, 188, 189, 190, 193, 195, 197, 198, 200 (17/200)	Jan 18, 2009
900...001	9·10n+1	n≤200	n=175, 176, 178, 179, 181, 182, 185, 187, 188, 191, 195, 196, 199, 200 (14/200)	Jun 21, 2009
900...007	9·10n+7	n≤200	n=172, 178, 187, 188, 190, 193, 194, 195, 196, 197, 198 (11/200)	May 8, 2009
911...113	(82·10n+17)/9	n≤100	Completed / Dec 7, 2004	Jul 11, 2008
911...117	(82·10n+53)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
922...221	(83·10n-11)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
922...223	(83·10n+7)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
922...227	(83·10n+43)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
933...337	(28·10n+11)/3	n≤100	Completed / Dec 1, 2004	Jan 18, 2009
944...441	(85·10n-31)/9	n≤100	Completed / Dec 7, 2004	Jan 18, 2009
944...443	(85·10n-13)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
944...447	(85·10n+23)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
955...551	(86·10n-41)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
955...553	(86·10n-23)/9	n≤100	Completed / Nov 29, 2004	Jan 18, 2009
955...557	(86·10n+13)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
966...661	(29·10n-17)/3	n≤100	Completed / Jan 6, 2005	Jan 18, 2009
966...667	(29·10n+1)/3	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
977...771	(88·10n-61)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
977...773	(88·10n-43)/9	n≤100	Completed / Dec 7, 2004	Jan 18, 2009
988...881	(89·10n-71)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
988...883	(89·10n-53)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009
988...887	(89·10n-17)/9	n≤100	Completed / Jan 8, 2005	Jan 18, 2009

10. List of near-repdigit-related prime numbers

• primesize.txt sorted by size, 100 digits or more
• primecount.txt sorted by count
• primedifficulty.txt sorted by difficulty

11. Expression generator of near-repdigit-related numbers

For example, enter "33331" or "3w1" to the left box, and click "→" button. The corresponding expression appears in the right box. More complex labels, such as "1w2w3w", are also available. This program is written in JavaScript.

12. Implementations

• GMP-ECM - INRIAGforge: GMP-ECM (Elliptic Curve Method): Project Info
• GGNFS - SourceForge.net: GGNFS suite
• Msieve - Integer Factorization Source Code (Jason Papadopoulos)
• PFGW - primeform : User group for PFGW & PrimeForm programs
• Primo - Primo - Primality Proving
• YAFU - bbuhrow - YAFU's Homepage
• Windows Factoring Software Binaries (64bit & 32bit) (Jeff Gilchrist)

13. Related links

• Bob Backstrom - Sydney PCUG, Web Design, Large Factors, Digital Photos, Electronics (Bob Backstrom)
• Factorizations of Repunit Numbers of the form (10ⁿ-1)/9 (Kurt Beschorner)
• Richard Brent - Factor Tables (Richard Brent)
• Plateau and Depression Primes (Patrick De Geest)
• Factoring and Prime Identification (Torbjörn Granlund)
• Repunit - Top (Yousuke Koide)
• Factorizations of Cyclotomic Numbers (Hisanori Mishima)
• GGNFS (Chris Monico)
• Integer Factorizations and (Cyclotomic) Polynomials (Alfred Reich)
• The Cunningham Project (Sam Wagstaff)
• The ECMNET Project (Paul Zimmermann)
• AMS Online Books/Factorizations of b^{n}+/- 1, b=2,3,5,6,7,10,11,12 Up to High Powers/conm22 (AMS Online Books)
• Open Directory - Science: Math: Number Theory: Factoring (dmoz)