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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
  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

Reserved Numbers
Alexander Mkrtychyan(64·10224+53)/9 (c222)
Justin Card(10188+17)/9 (c167)
Nechaev Sergey(34·10162+11)/9 (c121)
Piby2(10187+17)/9 (c125)
Sinkiti Sibata(43·10200+11)/9 (c201), (41·10198+13)/9 (c197), (58·10164-13)/9 (c116), (58·10169-13)/9 (c141)
Dmitry Domanov(10222+17)/9 (c222), (2·10205+1)/3 (c204)
Robert Backstrom2·10216-1 (c212), (49·10189+23)/9 (c189), 2·10212-1 (c211)
Wataru Sakai7·10194+3 (c192), (49·10184-13)/9 (c183)
Submitted Numbers
Please wait until the tables are manually updated for the following numbers.
Jo Yeong Uk(19·10169+11)/3 (c132 = 6863100712193171991021877484483863219321<40> · ......)

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

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

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

FormGeneral termRangeTerms which have not been factored yetLast update
11...113(10n+17)/9n≤250n=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)/9n≤250n=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)/9n≤200n=171, 176, 177, 178, 179, 183, 188, 189, 190, 191, 193, 195, 199, 200 (14/200)Jan 18, 2009
22...221(2·10n-11)/9n≤200n=174, 175, 176, 179, 183, 185, 186, 187, 188, 189, 191, 196, 199, 200 (14/200)Jan 18, 2009
22...223(2·10n+7)/9n≤200n=173, 174, 175, 176, 179, 182, 184, 189, 193, 195, 196, 198, 199, 200 (14/200)Apr 15, 2009
22...227(2·10n+43)/9n≤200n=171, 179, 183, 184, 185, 186, 189, 190, 192, 194, 197, 199, 200 (13/200)Jan 18, 2009
22...229(2·10n+61)/9n≤200n=180, 181, 182, 183, 184, 186, 189, 191, 194, 195, 196, 198, 199 (13/200)May 16, 2009
33...331(10n-7)/3n≤250n=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)/3n≤200n=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)/9n≤200n=172, 174, 175, 176, 180, 181, 185, 195, 196, 197, 198, 200 (12/200)Jan 18, 2009
44...443(4·10n-13)/9n≤200n=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)/9n≤200n=178, 181, 183, 184, 185, 188, 192, 193, 195, 196, 197, 200 (12/200)Feb 17, 2009
44...449(4·10n+41)/9n≤200n=178, 179, 180, 183, 184, 186, 188, 189, 193, 199, 200 (11/200)May 27, 2009
55...551(5·10n-41)/9n≤200n=180, 181, 183, 184, 187, 189, 190, 192, 196, 198, 199, 200 (12/200)Jan 18, 2009
55...553(5·10n-23)/9n≤200n=176, 178, 179, 182, 187, 188, 192, 193, 196, 200 (10/200)Jan 18, 2009
55...557(5·10n+13)/9n≤200n=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)/9n≤200n=173, 174, 179, 180, 181, 182, 183, 184, 191, 194, 196 (11/200)Apr 30, 2009
66...661(2·10n-17)/3n≤200n=171, 172, 174, 175, 176, 183, 186, 190, 193, 194, 195, 197, 200 (13/200)Jun 29, 2009
66...667(2·10n+1)/3n≤250n=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)/9n≤200n=170, 178, 179, 181, 182, 187, 189, 190, 191, 193, 194, 195, 197, 198 (14/200)Jan 18, 2009
77...773(7·10n-43)/9n≤250n=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)/9n≤200n=171, 177, 178, 180, 181, 183, 185, 187, 191, 192, 193, 194, 196, 199 (14/200)May 27, 2009
88...881(8·10n-71)/9n≤200n=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)/9n≤200n=172, 174, 176, 179, 184, 185, 186, 194, 195, 196, 197, 199 (12/200)Mar 28, 2009
88...887(8·10n-17)/9n≤200n=180, 181, 182, 183, 184, 187, 188, 189, 196, 198, 200 (11/200)May 17, 2009
88...889(8·10n+1)/9n≤250n=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...99110n-9n≤250n=201, 211, 215, 221, 229, 231, 235, 241, 243, 245, 247 (11/250)Jun 25, 2009
99...99710n-3n≤200n=181, 183, 186, 189, 192, 193, 195, 196, 198, 199 (10/200)May 22, 2009

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

FormGeneral termRangeTerms which have not been factored yetLast update
133...33(4·10n-1)/3n≤250n=209, 211, 213, 215, 219, 221, 229, 231, 237, 239, 247, 249 (12/250)Jul 2, 2009
177...77(16·10n-7)/9n≤250n=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...992·10n-1n≤250n=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)/9n≤200n=176, 178, 179, 183, 184, 185, 188, 189, 192, 194, 195, 196, 197, 200 (14/200)Mar 13, 2009
233...33(7·10n-1)/3n≤200n=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)/9n≤200n=170, 175, 177, 179, 181, 182, 183, 184, 187, 192, 193, 195, 196, 197, 198, 199 (16/200)Mar 27, 2009
299...993·10n-1n≤200n=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)/9n≤200n=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)/9n≤200n=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)/9n≤200n=173, 174, 177, 178, 183, 184, 185, 187, 189, 190, 191, 193, 198, 199 (14/200)Jan 18, 2009
433...33(13·10n-1)/3n≤200n=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)/9n≤250n=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...995·10n-1n≤200n=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)/9n≤200n=175, 176, 179, 180, 183, 184, 187, 188, 190, 192, 196, 197 (12/200)Jan 18, 2009
533...33(16·10n-1)/3n≤250n=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)/9n≤200n=171, 173, 176, 178, 182, 185, 188, 190, 191, 192, 195, 198, 200 (13/200)May 22, 2009
599...996·10n-1n≤200n=172, 174, 176, 177, 179, 180, 188, 190, 191, 193, 195, 196, 199 (13/200)Mar 17, 2009
611...11(55·10n-1)/9n≤200n=175, 177, 179, 183, 185, 186, 188, 194, 196, 197, 198 (11/200)Mar 12, 2009
677...77(61·10n-7)/9n≤200n=171, 176, 183, 184, 185, 189, 190, 191, 194, 196, 197, 200 (12/200)Feb 27, 2009
711...11(64·10n-1)/9n≤350n=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)/3n≤200n=172, 173, 179, 180, 183, 185, 186, 188, 190, 191, 192, 194, 197, 199 (14/200)May 16, 2009
799...998·10n-1n≤250n=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)/9n≤250n=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)/3n≤250n=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)/9n≤200n=170, 177, 184, 185, 186, 188, 189, 190, 192, 193, 194, 195, 197, 198, 199 (15/200)Jan 18, 2009
899...999·10n-1n≤250n=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)/9n≤200n=172, 176, 177, 178, 180, 181, 182, 183, 188, 189, 191, 194 (12/200)May 20, 2009
977...77(88·10n-7)/9n≤200n=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

FormGeneral termRangeTerms which have not been factored yetLast update
11...11311...11(102n+1+18·10n-1)/9n≤75Completed / Jun 29, 2005Jan 18, 2009
11...11411...11(102n+1+27·10n-1)/9n≤75Completed / Oct 13, 2005Jan 18, 2009
11...11511...11(102n+1+36·10n-1)/9n≤75Completed / Oct 9, 2005Jan 18, 2009
11...11611...11(102n+1+45·10n-1)/9n≤75Completed / Oct 14, 2005Jan 18, 2009
11...11711...11(102n+1+54·10n-1)/9n≤75Completed / Oct 15, 2005Jan 18, 2009
11...11811...11(102n+1+63·10n-1)/9n≤75Completed / Sep 29, 2005Jan 18, 2009
11...11911...11(102n+1+72·10n-1)/9n≤75Completed / Oct 15, 2005Jan 18, 2009
33...33133...33(102n+1-6·10n-1)/3n≤75Completed / Aug 19, 2005Jan 18, 2009
33...33533...33(102n+1+6·10n-1)/3n≤75Completed / Oct 11, 2005Jan 18, 2009
33...33733...33(102n+1+12·10n-1)/3n≤75Completed / Oct 18, 2005Jan 18, 2009
33...33833...33(102n+1+15·10n-1)/3n≤75Completed / Jul 11, 2005Jan 18, 2009
77...77177...77(7·102n+1-54·10n-7)/9n≤75Completed / Sep 26, 2005Jan 18, 2009
77...77277...77(7·102n+1-45·10n-7)/9n≤75Completed / Oct 11, 2005Jan 18, 2009
77...77377...77(7·102n+1-36·10n-7)/9n≤75Completed / Oct 3, 2005Jan 18, 2009
77...77477...77(7·102n+1-27·10n-7)/9n≤75Completed / Jun 6, 2005Jan 18, 2009
77...77577...77(7·102n+1-18·10n-7)/9n≤75Completed / Oct 17, 2005Jan 18, 2009
77...77677...77(7·102n+1-9·10n-7)/9n≤75Completed / Oct 20, 2005Jan 18, 2009
77...77877...77(7·102n+1+9·10n-7)/9n≤75Completed / Oct 13, 2005Jan 18, 2009
77...77977...77(7·102n+1+18·10n-7)/9n≤75Completed / Sep 28, 2005Jan 18, 2009
99...99199...99102n+1-8·10n-1n≤75Completed / Sep 6, 2005Jan 18, 2009
99...99299...99102n+1-7·10n-1n≤75Completed / Sep 20, 2005Jan 18, 2009
99...99499...99102n+1-5·10n-1n≤75Completed / Sep 26, 2005Jan 18, 2009
99...99599...99102n+1-4·10n-1n≤75Completed / Aug 13, 2005Jan 18, 2009
99...99799...99102n+1-2·10n-1n≤75Completed / Jul 26, 2005Jan 18, 2009
99...99899...99102n+1-10n-1n≤75Completed / Jun 3, 2005Jan 18, 2009

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

FormGeneral termRangeTerms which have not been factored yetLast update
133...331(4·10n-7)/3n≤200n=175, 176, 181, 184, 186, 188, 192, 194, 198, 199, 200 (11/200)Jun 25, 2009
144...441(13·10n-31)/9n≤200n=172, 173, 180, 184, 188, 190, 195, 197, 199 (9/200)Jun 20, 2009
155...551(14·10n-41)/9n≤200n=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)/3n≤200n=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)/9n≤250n=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)/9n≤200n=174, 180, 181, 182, 183, 184, 185, 186, 189, 191, 192, 193, 195, 197, 198, 199, 200 (17/200)May 19, 2009
199...9912·10n-9n≤200n=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)/9n≤200n=172, 177, 178, 180, 182, 186, 187, 189, 194, 195, 198, 199, 200 (13/200)May 28, 2009
322...223(29·10n+7)/9n≤200n=171, 172, 175, 177, 180, 182, 188, 190, 192, 193, 196, 198 (12/200)Jan 18, 2009
344...443(31·10n-13)/9n≤200n=171, 173, 178, 180, 183, 190, 193, 195, 197, 199, 200 (11/200)Jun 13, 2009
355...553(32·10n-23)/9n≤200n=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)/9n≤200n=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)/9n≤200n=172, 173, 176, 179, 183, 184, 185, 187, 189, 190, 191, 195, 197, 200 (14/200)Mar 7, 2009
711...117(64·10n+53)/9n≤250n=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)/9n≤200n=172, 176, 177, 179, 182, 184, 185, 189, 191, 192, 194, 196, 197, 199 (14/200)Jun 13, 2009
744...447(67·10n+23)/9n≤200n=178, 180, 182, 192, 193, 194, 195, 196, 198, 200 (10/200)Mar 18, 2009
755...557(68·10n+13)/9n≤200n=174, 175, 178, 181, 182, 186, 189, 190, 191, 193, 197, 199, 200 (13/200)Jun 25, 2009
766...667(23·10n+1)/3n≤200n=172, 176, 180, 181, 184, 186, 189, 190, 191, 192, 194, 197, 198, 199 (14/200)Jun 8, 2009
788...887(71·10n-17)/9n≤200n=173, 179, 180, 181, 185, 186, 189, 191, 193, 194, 195, 196, 198 (13/200)Jan 18, 2009
799...9978·10n-3n≤200n=174, 176, 177, 181, 186, 188, 190, 191, 193, 195, 199, 200 (12/200)Jun 10, 2009
911...119(82·10n+71)/9n≤200n=173, 174, 177, 179, 180, 181, 187, 189, 190, 192, 196, 198, 200 (13/200)Apr 15, 2009
922...229(83·10n+61)/9n≤200n=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)/9n≤200n=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)/9n≤200n=175, 179, 180, 183, 185, 186, 188, 191, 196, 198, 200 (11/200)Feb 26, 2009
988...889(89·10n+1)/9n≤200n=176, 181, 182, 184, 188, 192, 195, 196, 198, 200 (10/200)Jun 24, 2009

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

FormGeneral termRangeTerms which have not been factored yetLast update
100...00310n+3n≤250n=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...00710n+7n≤200n=178, 180, 181, 182, 183, 189, 191, 192, 194, 196, 198, 199, 200 (13/200)Jan 18, 2009
100...00910n+9n≤200n=176, 179, 182, 183, 186, 190, 195, 196, 198 (9/200)Jan 18, 2009
122...223(11·10n+7)/9n≤200n=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)/9n≤200n=172, 177, 178, 182, 183, 185, 186, 187, 190, 191, 192, 194, 199 (13/200)Feb 22, 2009
122...229(11·10n+61)/9n≤200n=174, 176, 181, 183, 188, 189, 190, 191, 193, 194, 195, 196, 197, 199 (14/200)Jan 18, 2009
133...337(4·10n+11)/3n≤200n=171, 172, 174, 179, 182, 183, 185, 189, 191, 193, 194, 195, 197, 200 (14/200)Jan 18, 2009
133...339(4·10n+17)/3n≤200n=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)/9n≤200n=172, 175, 176, 177, 179, 180, 186, 189, 190, 191, 192, 196, 197 (13/200)Jan 18, 2009
144...449(13·10n+41)/9n≤200n=171, 173, 180, 183, 184, 185, 186, 188, 190, 192, 194, 197, 198, 200 (14/200)May 22, 2009
155...553(14·10n-23)/9n≤200n=174, 176, 177, 182, 184, 186, 187, 188, 191, 194, 195, 196, 197, 198 (14/200)Jan 18, 2009
155...557(14·10n+13)/9n≤200n=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)/9n≤200n=172, 173, 178, 181, 185, 187, 189, 191, 193, 197, 199, 200 (12/200)Jan 18, 2009
166...663(5·10n-11)/3n≤200n=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)/3n≤200n=177, 180, 182, 183, 184, 187, 188, 190, 191, 194, 197, 198 (12/200)Mar 16, 2009
166...669(5·10n+7)/3n≤200n=175, 176, 183, 192, 194, 196, 199, 200 (8/200)Feb 13, 2009
177...773(16·10n-43)/9n≤200n=174, 175, 179, 182, 183, 186, 189, 197, 198, 200 (10/200)Jan 18, 2009
177...779(16·10n+11)/9n≤200n=174, 175, 182, 185, 189, 191, 192, 193, 194, 197, 199, 200 (12/200)Jan 18, 2009
188...883(17·10n-53)/9n≤200n=172, 175, 177, 179, 180, 181, 184, 188, 192, 193, 194, 195, 196 (13/200)Apr 25, 2009
188...889(17·10n+1)/9n≤200n=172, 175, 176, 177, 178, 180, 182, 186, 187, 191, 193, 194, 196, 197, 198, 199 (16/200)Apr 18, 2009
199...9932·10n-7n≤200n=173, 179, 181, 182, 190, 193, 194, 195, 196, 197, 199 (11/200)Apr 21, 2009
199...9972·10n-3n≤200n=172, 178, 179, 183, 185, 187, 193, 195, 196 (9/200)May 17, 2009
200...0032·10n+3n≤200n=177, 179, 180, 181, 182, 186, 190, 192, 193, 194, 196, 198, 199, 200 (14/200)May 8, 2009
200...0092·10n+9n≤200n=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)/9n≤200n=174, 183, 186, 187, 188, 189, 191, 193, 194, 196, 197 (11/200)Jan 18, 2009
211...117(19·10n+53)/9n≤200n=174, 178, 180, 185, 186, 188, 189, 191, 192, 195, 199 (11/200)Jan 18, 2009
211...119(19·10n+71)/9n≤200n=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)/3n≤200n=175, 176, 181, 186, 188, 190, 191, 192, 193, 196, 197 (11/200)Apr 15, 2009
244...441(22·10n-31)/9n≤200n=170, 175, 176, 177, 178, 181, 187, 189, 190, 191, 195, 196, 198 (13/200)Jun 25, 2009
244...443(22·10n-13)/9n≤205n=175, 180, 181, 188, 189, 193, 194, 197, 198, 201, 203, 205 (12/205)Jun 25, 2009
244...447(22·10n+23)/9n≤205n=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)/9n≤205n=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)/9n≤205n=174, 175, 181, 182, 184, 187, 192, 193, 194, 197, 199, 200, 202, 205 (14/205)Jun 24, 2009
255...557(23·10n+13)/9n≤205n=172, 175, 176, 177, 181, 182, 185, 190, 192, 193, 194, 195, 196, 199 (14/205)Jan 18, 2009
255...559(23·10n+31)/9n≤205n=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)/3n≤205n=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)/3n≤200n=180, 182, 184, 187, 197, 198 (6/200)Jun 27, 2009
277...771(25·10n-61)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=184, 186, 189, 191, 194, 198, 199, 200, 201, 202, 205 (11/205)May 3, 2009
288...889(26·10n+1)/9n≤205n=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...9933·10n-7n≤200n=176, 180, 188, 191, 193, 194, 195, 196, 198 (9/200)Mar 17, 2009
300...0013·10n+1n≤200n=173, 174, 175, 176, 182, 183, 193, 194, 195, 196, 197, 200 (12/200)Jun 15, 2009
300...0073·10n+7n≤200n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=174, 176, 179, 180, 184, 185, 189, 191, 192, 195, 199, 200, 202 (13/205)May 22, 2009
355...557(32·10n+13)/9n≤205n=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)/9n≤205n=172, 175, 182, 183, 184, 187, 191, 192, 197, 198, 203, 205 (12/205)Jun 27, 2009
366...661(11·10n-17)/3n≤205n=174, 179, 182, 186, 187, 189, 190, 192, 194, 200, 202, 203 (12/205)Jun 16, 2009
366...667(11·10n+1)/3n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=173, 175, 177, 183, 185, 188, 190, 195, 197, 198, 199, 200, 201, 204 (14/205)Jun 27, 2009
388...889(35·10n+1)/9n≤205n=171, 172, 175, 176, 181, 182, 185, 186, 195, 196, 197, 198, 200, 201, 202, 205 (16/205)Mar 6, 2009
399...9914·10n-9n≤250n=189, 191, 193, 203, 205, 207, 209, 211, 213, 221, 225, 235, 237, 239, 243, 245, 247, 249 (18/250)Jun 28, 2009
399...9974·10n-3n≤200n=174, 177, 181, 184, 185, 186, 188, 189, 190, 191, 192, 193, 199 (13/200)Jan 18, 2009
400...0014·10n+1n≤250n=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...0034·10n+3n≤200n=171, 179, 189, 190, 191, 193, 195, 199, 200 (9/200)Jan 18, 2009
400...0074·10n+7n≤200n=171, 174, 176, 178, 179, 184, 186, 187, 188, 192, 193, 196, 197, 199 (14/200)May 20, 2009
400...0094·10n+9n≤250n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=185, 187, 188, 189, 190, 195, 196, 197, 204 (9/205)May 10, 2009
422...221(38·10n-11)/9n≤205n=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)/9n≤205n=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)/9n≤205n=171, 174, 179, 182, 185, 186, 187, 190, 191, 194, 199, 200, 201, 202 (14/205)Apr 29, 2009
422...229(38·10n+61)/9n≤205n=170, 172, 175, 179, 183, 184, 188, 189, 193, 197, 201, 202, 204, 205 (14/205)Mar 15, 2009
433...331(13·10n-7)/3n≤205n=173, 175, 176, 181, 183, 184, 186, 187, 192, 193, 195, 200, 201 (13/205)Jun 23, 2009
433...337(13·10n+11)/3n≤205n=178, 179, 181, 184, 186, 187, 188, 195, 198, 199, 200, 203, 204 (13/205)Mar 9, 2009
433...339(13·10n+17)/3n≤205n=171, 179, 187, 191, 196, 197, 198, 200, 201, 202 (10/205)Apr 21, 2009
455...553(41·10n-23)/9n≤205n=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)/9n≤205n=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)/9n≤205n=174, 175, 176, 180, 183, 187, 188, 193, 194, 197, 201, 205 (12/205)May 10, 2009
466...661(14·10n-17)/3n≤205n=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)/3n≤205n=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)/3n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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...9915·10n-9n≤200n=175, 176, 177, 178, 181, 182, 183, 186, 187, 188, 192, 195, 196, 200 (14/200)May 16, 2009
499...9935·10n-7n≤200n=172, 174, 177, 183, 185, 187, 191, 192, 198 (9/200)Apr 14, 2009
499...9975·10n-3n≤200n=170, 173, 175, 176, 181, 183, 185, 187, 188, 189, 190, 191, 193, 194, 195, 197, 200 (17/200)Jan 18, 2009
500...0035·10n+3n≤200n=171, 174, 177, 178, 182, 184, 190, 193, 194, 195, 197, 199, 200 (13/200)Apr 24, 2009
500...0095·10n+9n≤200n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=170, 172, 175, 176, 180, 182, 189, 192, 198, 201, 203, 205 (12/205)Jun 29, 2009
522...227(47·10n+43)/9n≤205n=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)/9n≤205n=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)/3n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/3n≤205n=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)/3n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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...9936·10n-7n≤200n=174, 177, 178, 181, 182, 186, 187, 188, 191, 192, 195, 198, 199, 200 (14/200)Apr 29, 2009
600...0016·10n+1n≤250n=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...0076·10n+7n≤200n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤205n=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)/3n≤205n=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)/3n≤205n=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)/9n≤205n=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)/9n≤205n=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)/9n≤100Completed / Jan 5, 2005Jan 18, 2009
644...449(58·10n+41)/9n≤100Completed / Jan 5, 2005Jan 18, 2009
655...551(59·10n-41)/9n≤100Completed / Jan 5, 2005Jan 18, 2009
655...553(59·10n-23)/9n≤100Completed / Jan 5, 2005Jan 18, 2009
655...557(59·10n+13)/9n≤100Completed / Dec 6, 2004Jan 18, 2009
655...559(59·10n+31)/9n≤100Completed / Jan 5, 2005Jan 18, 2009
677...773(61·10n-43)/9n≤100Completed / Jan 5, 2005Jan 18, 2009
677...779(61·10n+11)/9n≤100Completed / Jan 5, 2005Jan 18, 2009
688...881(62·10n-71)/9n≤100Completed / Jan 5, 2005Jan 18, 2009
688...883(62·10n-53)/9n≤100Completed / Jan 5, 2005Jan 18, 2009
688...887(62·10n-17)/9n≤100Completed / Jan 5, 2005Jan 18, 2009
688...889(62·10n+1)/9n≤100Completed / Dec 6, 2004Jan 18, 2009
699...9917·10n-9n≤200n=173, 177, 179, 183, 185, 188, 189, 192, 193, 195 (10/200)May 12, 2009
699...9977·10n-3n≤200n=180, 182, 184, 188, 189, 192, 196, 197, 198, 199 (10/200)May 17, 2009
700...0017·10n+1n≤200n=172, 177, 180, 181, 184, 185, 186, 191, 193, 195, 196, 197, 199 (13/200)Apr 23, 2009
700...0037·10n+3n≤200n=173, 179, 180, 181, 183, 184, 186, 194, 195, 196, 197, 198 (12/200)Jan 18, 2009
700...0097·10n+9n≤200n=169, 183, 185, 186, 190, 193, 194, 197, 198, 200 (10/200)May 10, 2009
711...113(64·10n+17)/9n≤100Completed / Jan 6, 2005Jan 18, 2009
711...119(64·10n+71)/9n≤100Completed / Jan 6, 2005Jan 18, 2009
722...221(65·10n-11)/9n≤100Completed / Dec 6, 2004Feb 22, 2009
722...223(65·10n+7)/9n≤100Completed / Dec 6, 2004Jan 18, 2009
722...229(65·10n+61)/9n≤100Completed / Jan 6, 2005Jan 18, 2009
733...331(22·10n-7)/3n≤100Completed / Jan 6, 2005Feb 22, 2009
733...339(22·10n+17)/3n≤100Completed / Jan 6, 2005Jan 18, 2009
744...441(67·10n-31)/9n≤100Completed / Dec 6, 2004Jan 18, 2009
744...443(67·10n-13)/9n≤100Completed / Jan 6, 2005Jan 18, 2009
744...449(67·10n+41)/9n≤100Completed / Dec 6, 2004Jan 18, 2009
755...551(68·10n-41)/9n≤100Completed / Jan 6, 2005Jan 18, 2009
755...553(68·10n-23)/9n≤100Completed / Dec 6, 2004Jan 18, 2009
755...559(68·10n+31)/9n≤100Completed / Nov 29, 2004Jan 18, 2009
766...661(23·10n-17)/3n≤100Completed / Jan 7, 2005Jan 18, 2009
766...663(23·10n-11)/3n≤100Completed / Jan 7, 2005Jan 18, 2009
766...669(23·10n+7)/3n≤100Completed / Jan 7, 2005Jan 18, 2009
788...883(71·10n-53)/9n≤100Completed / Jan 7, 2005Jan 18, 2009
788...889(71·10n+1)/9n≤100Completed / Dec 6, 2004Jan 18, 2009
799...9918·10n-9n≤200n=177, 186, 188, 189, 191, 196, 197 (7/200)May 24, 2009
799...9938·10n-7n≤200n=173, 176, 178, 180, 185, 187, 190, 192, 193, 197, 198, 199, 200 (13/200)Feb 15, 2009
800...0038·10n+3n≤200n=173, 174, 179, 180, 182, 183, 184, 186, 188, 190, 191, 192, 193, 195, 197, 198, 199, 200 (18/200)May 17, 2009
800...0098·10n+9n≤200n=173, 178, 179, 191, 192, 193, 195, 196 (8/200)Jun 12, 2009
811...113(73·10n+17)/9n≤100Completed / Jan 7, 2005Jan 18, 2009
811...117(73·10n+53)/9n≤100Completed / Jan 7, 2005Jan 18, 2009
811...119(73·10n+71)/9n≤100Completed / Jan 6, 2005Jan 18, 2009
822...221(74·10n-11)/9n≤100Completed / Jan 7, 2005Jan 18, 2009
822...223(74·10n+7)/9n≤100Completed / Jan 7, 2005Jan 18, 2009
822...227(74·10n+43)/9n≤100Completed / Jan 7, 2005Jan 18, 2009
822...229(74·10n+61)/9n≤100Completed / Jan 6, 2005Jan 18, 2009
833...339(25·10n+17)/3n≤100Completed / Jan 7, 2005Jan 18, 2009
844...441(76·10n-31)/9n≤100Completed / Jan 7, 2005Feb 27, 2009
844...443(76·10n-13)/9n≤100Completed / Jan 7, 2005Jan 18, 2009
844...447(76·10n+23)/9n≤100Completed / Jan 6, 2005Jan 18, 2009
844...449(76·10n+41)/9n≤100Completed / Jan 7, 2005Jan 18, 2009
855...551(77·10n-41)/9n≤100Completed / Dec 6, 2004Jan 18, 2009
855...553(77·10n-23)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
855...557(77·10n+13)/9n≤100Completed / Dec 6, 2004Jan 18, 2009
855...559(77·10n+31)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
866...663(26·10n-11)/3n≤100Completed / Jan 8, 2005Jan 18, 2009
866...669(26·10n+7)/3n≤100Completed / Jan 8, 2005Jan 18, 2009
877...771(79·10n-61)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
877...773(79·10n-43)/9n≤100Completed / Nov 29, 2004Jan 18, 2009
877...779(79·10n+11)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
899...9939·10n-7n≤200n=172, 175, 176, 177, 179, 183, 185, 186, 187, 188, 189, 190, 193, 195, 197, 198, 200 (17/200)Jan 18, 2009
900...0019·10n+1n≤200n=175, 176, 178, 179, 181, 182, 185, 187, 188, 191, 195, 196, 199, 200 (14/200)Jun 21, 2009
900...0079·10n+7n≤200n=172, 178, 187, 188, 190, 193, 194, 195, 196, 197, 198 (11/200)May 8, 2009
911...113(82·10n+17)/9n≤100Completed / Dec 7, 2004Jul 11, 2008
911...117(82·10n+53)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
922...221(83·10n-11)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
922...223(83·10n+7)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
922...227(83·10n+43)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
933...337(28·10n+11)/3n≤100Completed / Dec 1, 2004Jan 18, 2009
944...441(85·10n-31)/9n≤100Completed / Dec 7, 2004Jan 18, 2009
944...443(85·10n-13)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
944...447(85·10n+23)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
955...551(86·10n-41)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
955...553(86·10n-23)/9n≤100Completed / Nov 29, 2004Jan 18, 2009
955...557(86·10n+13)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
966...661(29·10n-17)/3n≤100Completed / Jan 6, 2005Jan 18, 2009
966...667(29·10n+1)/3n≤100Completed / Jan 8, 2005Jan 18, 2009
977...771(88·10n-61)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
977...773(88·10n-43)/9n≤100Completed / Dec 7, 2004Jan 18, 2009
988...881(89·10n-71)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
988...883(89·10n-53)/9n≤100Completed / Jan 8, 2005Jan 18, 2009
988...887(89·10n-17)/9n≤100Completed / Jan 8, 2005Jan 18, 2009

10. List of near-repdigit-related prime numbers

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

13. Related links