Factorizations of 99...99299...99

Table of contents

1. About 99...99299...99
   • First ten terms
   • General term
2. Prime numbers of the form 99...99299...99
   • Last update
   • Searched up to
   • Results
   • History
3. Factorizations of 99...99299...99
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 99...99299...99

First ten terms

929, 99299, 9992999, 999929999, 99999299999, 9999992999999, 999999929999999, 99999999299999999, 9999999992999999999, 999999999929999999999

General term

10²ⁿ⁺¹-7·10ⁿ-1

2. Prime numbers of the form 99...99299...99

Last update

Mar 3, 2012

Searched up to

n≤68000

Results

1. 10³-7·10¹-1 = 929 is prime.
2. 10¹⁷-7·10⁸-1 = 99999999299999999_<17> is prime.
3. 10¹⁹-7·10⁹-1 = 9999999992999999999_<19> is prime.
4. 10⁷⁰⁵-7·10³⁵²-1 = (9)₃₅₂2(9)_352<705> is prime. (Patrick De Geest / Sep 23, 2002)
5. 10¹⁰⁶¹-7·10⁵³⁰-1 = (9)₅₃₀2(9)_530<1061> is prime. (Jeff Heleen / Sep 28, 2002)
6. 10¹³⁹⁵-7·10⁶⁹⁷-1 = (9)₆₉₇2(9)_697<1395> is prime. (Jeff Heleen / Sep 28, 2002)
7. 10²⁶³¹-7·10¹³¹⁵-1 = (9)₁₃₁₅2(9)_1315<2631> is prime. (Harvey Dubner / 1989)
8. 10³⁸³⁷-7·10¹⁹¹⁸-1 = (9)₁₉₁₈2(9)_1918<3837> is prime. (Harvey Dubner / 1999)
9. 10⁵⁷⁴⁹-7·10²⁸⁷⁴-1 = (9)₂₈₇₄2(9)_2874<5749> is prime. (Harvey Dubner / 1999)
10. 10¹¹⁷⁵³-7·10⁵⁸⁷⁶-1 = (9)₅₈₇₆2(9)_5876<11753> is prime. (Harvey Dubner / 1999)
11. 10¹³⁵³⁷-7·10⁶⁷⁶⁸-1 = (9)₆₇₆₈2(9)_6768<13537> is prime. (Harvey Dubner / 1999)
12. 10¹²⁵⁸⁷⁷-7·10⁶²⁹³⁸-1 = (9)₆₂₉₃₈2(9)_{62938<125877>} is prime. (Darren Bedwell / OpenPFGW / Oct 31, 2010)
13. 10²⁶⁹⁴⁷⁹-7·10¹³⁴⁷³⁹-1 = (9)₁₃₄₇₃₉2(9)_{134739<269479>} is prime. (Darren Bedwell / OpenPFGW / Feb 29, 2012)

History

1. Searched up to n≤68000

3. Factorizations of 99...99299...99

Last update

Apr 24, 2012

Completed up to

• n≤50 / Aug 16, 2004
• n≤75 / Sep 20, 2005
• n≤100 / Apr 15, 2012

Range

n≤150

Terms which have not been factored yet

n=101, 104, 106, 109, 111, 112, 113, 115, 116, 117, 119, 120, 121, 122, 124, 126, 127, 128, 130, 131, 132, 136, 137, 138, 139, 140, 141, 143, 144, 145, 146, 147, 150 (33/150)

Results

10³-7·10¹-1 =

929

= definitely prime number

10⁵-7·10²-1 =

99299

= 109 · 911

10⁷-7·10³-1 =

9992999

= 47 · 173 · 1229

10⁹-7·10⁴-1 =

999929999

= 139 · 311 · 23131

10¹¹-7·10⁵-1 =

99999299999_<11>

= 205537 · 486527

10¹³-7·10⁶-1 =

9999992999999_<13>

= 67049 · 149144551

10¹⁵-7·10⁷-1 =

999999929999999_<15>

= 2782723 · 359360213

10¹⁷-7·10⁸-1 =

99999999299999999_<17>

= definitely prime number

10¹⁹-7·10⁹-1 =

9999999992999999999_<19>

= definitely prime number

10²¹-7·10¹⁰-1 =

999999999929999999999_<21>

= 1531031 · 653154638887129_<15>

10²³-7·10¹¹-1 =

99999999999299999999999_<23>

= 17 · 114203 · 3339151 · 15425438099_<11>

10²⁵-7·10¹²-1 =

9999999999992999999999999_<25>

= 17 · 588235294117235294117647_<24>

10²⁷-7·10¹³-1 =

999999999999929999999999999_<27>

= 233 · 4291845493561931330472103_<25>

10²⁹-7·10¹⁴-1 =

99999999999999299999999999999_<29>

= 80146861 · 10577745863_<11> · 117956086093_<12>

10³¹-7·10¹⁵-1 =

9999999999999992999999999999999_<31>

= 331 · 12024223661137_<14> · 2512551430674317_<16>

10³³-7·10¹⁶-1 =

999999999999999929999999999999999_<33>

= 1945549 · 38158024423_<11> · 13470134899397837_<17>

10³⁵-7·10¹⁷-1 =

99999999999999999299999999999999999_<35>

= 19469 · 37397 · 1653521 · 609570613 · 136265481091_<12>

10³⁷-7·10¹⁸-1 =

9999999999999999992999999999999999999_<37>

= 139 · 71942446043165467575539568345323741_<35>

10³⁹-7·10¹⁹-1 =

999999999999999999929999999999999999999_<39>

= 47 · 107 · 289084649652697963_<18> · 687849352919694137_<18>

10⁴¹-7·10²⁰-1 =

99999999999999999999299999999999999999999_<41>

= 6485243 · 15419622672581428328791997462546893_<35>

10⁴³-7·10²¹-1 =

9999999999999999999992999999999999999999999_<43>

= 2215006022870241309047_<22> · 4514660410287207794617_<22>

10⁴⁵-7·10²²-1 =

999999999999999999999929999999999999999999999_<45>

= 2503195320607_<13> · 399489401313481975270969442772257_<33>

10⁴⁷-7·10²³-1 =

99999999999999999999999299999999999999999999999_<47>

= 1879 · 37509061 · 386057758970623_<15> · 3675231857582380954427_<22>

10⁴⁹-7·10²⁴-1 =

9999999999999999999999992999999999999999999999999_<49>

= 67 · 179 · 2791 · 514375321 · 1752364011187_<13> · 331442259440932014499_<21>

10⁵¹-7·10²⁵-1 =

999999999999999999999999929999999999999999999999999_<51>

= 913873 · 1911745747330748779_<19> · 572379433868351998767479597_<27>

10⁵³-7·10²⁶-1 =

99999999999999999999999999299999999999999999999999999_<53>

= 204923 · 487988171166730918442536949488344402531682632013_<48>

10⁵⁵-7·10²⁷-1 =

9999999999999999999999999992999999999999999999999999999_<55>

= 17 · 71 · 43093483 · 7893526957_<10> · 25829075603_<11> · 942977158192333734995149_<24>

10⁵⁷-7·10²⁸-1 =

999999999999999999999999999929999999999999999999999999999_<57>

= 17 · 131 · 7481 · 397314300333200966923_<21> · 151072679292396361548824834599_<30>

10⁵⁹-7·10²⁹-1 =

99999999999999999999999999999299999999999999999999999999999_<59>

= 368572252583_<12> · 1419515173027907_<16> · 191133725113584418887941927137379_<33>

10⁶¹-7·10³⁰-1 =

9999999999999999999999999999992999999999999999999999999999999_<61>

= 769 · 1308411588478906396849933_<25> · 9938693057181485043670562261622587_<34>

10⁶³-7·10³¹-1 =

999999999999999999999999999999929999999999999999999999999999999_<63>

= 317 · 10987 · 49741 · 4649339 · 20711497 · 2900338505025763_<16> · 20667869429991283340429_<23>

10⁶⁵-7·10³²-1 =

99999999999999999999999999999999299999999999999999999999999999999_<65>

= 2164535610451_<13> · 46199286127320456491163235758678361809365685983782949_<53>

10⁶⁷-7·10³³-1 =

9999999999999999999999999999999992999999999999999999999999999999999_<67>

= 367 · 1013 · 33617 · 4045763 · 956464973 · 206774046923017974178724028448156679002043_<42>

10⁶⁹-7·10³⁴-1 =

999999999999999999999999999999999929999999999999999999999999999999999_<69>

= 156511 · 605778599 · 10547297772287232120877843824250903001948313146748395191_<56>

10⁷¹-7·10³⁵-1 =

99999999999999999999999999999999999299999999999999999999999999999999999_<71>

= 1619 · 1647280127041391_<16> · 1643479245242580227_<19> · 22815052276530734674485880911517753_<35>

10⁷³-7·10³⁶-1 =

9999999999999999999999999999999999992999999999999999999999999999999999999_<73>

= 131 · 1877 · 4730269 · 38584648463453530566055973_<26> · 222825066635850970198951407381447121_<36>

10⁷⁵-7·10³⁷-1 =

999999999999999999999999999999999999929999999999999999999999999999999999999_<75>

= 2267 · 35831 · 419882909269851194684129_<24> · 29319823610349718187062827530908751420618203_<44>

10⁷⁷-7·10³⁸-1 =

99999999999999999999999999999999999999299999999999999999999999999999999999999_<77>

= 336899 · 1282657 · 231414060364729755320541953515328899522337120965491931492340421493_<66>

10⁷⁹-7·10³⁹-1 =

9999999999999999999999999999999999999992999999999999999999999999999999999999999_<79>

= 331 · 4931 · 6126846554966084840894985237363225809214287070944594313918786198175302559_<73>

10⁸¹-7·10⁴⁰-1 =

999999999999999999999999999999999999999929999999999999999999999999999999999999999_<81>

= 373 · 1291139 · 10899697 · 75411827 · 39669772243_<11> · 571482481373_<12> · 111429877238054909080802692544333437_<36>

10⁸³-7·10⁴¹-1 =

99999999999999999999999999999999999999999299999999999999999999999999999999999999999_<83>

= 761 · 12149 · 44189496733_<11> · 810297372421463_<15> · 6465752309654563_<16> · 46718862642650617634127078501296683_<35>

10⁸⁵-7·10⁴²-1 =

9999999999999999999999999999999999999999992999999999999999999999999999999999999999999_<85>

= 97014041 · 357566120950464235927585600631_<30> · 288276368143785857996479750280845867947450935969_<48>

10⁸⁷-7·10⁴³-1 =

999999999999999999999999999999999999999999929999999999999999999999999999999999999999999_<87>

= 17 · 58823529411764705882352941176470588235294113529411764705882352941176470588235294117647_<86>

10⁸⁹-7·10⁴⁴-1 =

99999999999999999999999999999999999999999999299999999999999999999999999999999999999999999_<89>

= 17 · 5571559771_<10> · 575207833999709488073_<21> · 27427091052889042865456723_<26> · 66922128285880634318721216056983_<32>

10⁹¹-7·10⁴⁵-1 =

9999999999999999999999999999999999999999999992999999999999999999999999999999999999999999999_<91>

= 227 · 39079 · 818861533042451_<15> · 1376639513046334505087599718409948368697036378074109797717236234033553_<70>

10⁹³-7·10⁴⁶-1 =

999999999999999999999999999999999999999999999929999999999999999999999999999999999999999999999_<93>

= 173 · 31464780866796657207031_<23> · 183708472189265552171256057870678971434280389094498140482388867648573_<69>

10⁹⁵-7·10⁴⁷-1 =

99999999999999999999999999999999999999999999999299999999999999999999999999999999999999999999999_<95>

= 1467136308647_<13> · 225730318172089_<15> · 135932507737607079122779_<24> · 2221346521636550338659780833602789543266260707_<46>

10⁹⁷-7·10⁴⁸-1 =

9999999999999999999999999999999999999999999999992999999999999999999999999999999999999999999999999_<97>

= 41941 · 82183891 · 1813347328491823674543198431724239211389_<40> · 1599902521762693438787591381215338979751428261_<46> (Makoto Kamada / GGNFS-0.50.2-k2 / Total time: 0.43 hours (actual time: 0.52 hours))

10⁹⁹-7·10⁴⁹-1 =

999999999999999999999999999999999999999999999999929999999999999999999999999999999999999999999999999_<99>

= 47 · 5584583 · 3809880835271111748868230131782901819435643037649573873781794889038001698300100892121315399_<91>

10¹⁰¹-7·10⁵⁰-1 =

(9)₅₀2(9)_50<101>

= 139 · 673 · 1068981367654761777502218136337883630688317102632893625664104674655520754273253017199910205565117_<97>

10¹⁰³-7·10⁵¹-1 =

(9)₅₁2(9)_51<103>

= 109 · 347 · 479 · 95597 · 96601 · 107581 · 279863 · 22761204866749602731_<20> · 87218039076828850959861664839941665588630867531057358107_<56>

10¹⁰⁵-7·10⁵²-1 =

(9)₅₂2(9)_52<105>

= 263 · 373 · 2667600042931_<13> · 6828094416452291_<16> · 6583470735125718395053_<22> · 85008093615649948794042003413989433068137041908577_<50>

10¹⁰⁷-7·10⁵³-1 =

(9)₅₃2(9)_53<107>

= 383573 · 260706566937714594092910606325262727042831481882197128838578314949175254775492539881587077296890031363_<102>

10¹⁰⁹-7·10⁵⁴-1 =

(9)₅₄2(9)_54<109>

= 15575939 · 49294699 · 3251950302580251089849442830097243673_<37> · 4004991911122812313206006402584252891736108995278772639383_<58> (Kenichiro Yamaguchi / msieve.exe 0.88 for P37 x P58 / 10:17:22 on Pentium4 2.4BGHz / May 28, 2005)

10¹¹¹-7·10⁵⁵-1 =

(9)₅₅2(9)_55<111>

= 733 · 2791 · 5393 · 1336891 · 67796889490723267706722347052500937570521090827341589269006205897234820145257628597246880415991_<95>

10¹¹³-7·10⁵⁶-1 =

(9)₅₆2(9)_56<113>

= 18699203 · 67228147867_<11> · 261946999079_<12> · 303677300083244831632250154883642907712328922365362173528681542177077487261849867481_<84>

10¹¹⁵-7·10⁵⁷-1 =

(9)₅₇2(9)_57<115>

= 67 · 1597 · 78853 · 15698663 · 4453729593176247033369383_<25> · 7402911973339244342588281_<25> · 2289881259627362886427200690921129350158747087133_<49>

10¹¹⁷-7·10⁵⁸-1 =

(9)₅₈2(9)_58<117>

= 2039 · 7753 · 5869294693987_<13> · 10777724414020322846126170248245847850469639190337549637670845306707420235947470188250395037359131_<98>

10¹¹⁹-7·10⁵⁹-1 =

(9)₅₉2(9)_59<119>

= 17 · 22395757 · 41946286906913353_<17> · 123658819313817785102748137207_<30> · 50636853728000579351440494333921542032222013836569228421518693701_<65> (Kenichiro Yamaguchi / GMP-ECM 6.0 B1=3000000, sigma=1215098690 for P30 / May 20, 2005)

10¹²¹-7·10⁶⁰-1 =

(9)₆₀2(9)_60<121>

= 17² · 2679387385562077_<16> · 1335873289098187876976634772360781468609_<40> · 9667215115747825770030400192699700127010095463540775936360554987_<64> (Anton Korobeynikov / GGNFS-0.77.1 / 3.44 hours / May 31, 2005)

10¹²³-7·10⁶¹-1 =

(9)₆₁2(9)_61<123>

= 269 · 673 · 98037133 · 56343270642372413547462477350259424716300787338975763923358531262102920779426938345908773453625377377787088519_<110>

10¹²⁵-7·10⁶²-1 =

(9)₆₂2(9)_62<125>

= 71 · 26144460523_<11> · 472286871059656343279061123671_<30> · 55356921844173914450279278756291_<32> · 2060554760283018418628476621621143873632350669384223_<52> (Kenichiro Yamaguchi / GGNFS-0.77.0 / 6.20 hours on Pentium 4 2.4BGHz / Jun 5, 2005)

10¹²⁷-7·10⁶³-1 =

(9)₆₃2(9)_63<127>

= 97 · 701 · 54799 · 279354377 · 717976517 · 2835109296977_<13> · 145195695426547_<15> · 61474340889102797765273_<23> · 528754973956412310078619620613655505879245820268651_<51>

10¹²⁹-7·10⁶⁴-1 =

(9)₆₄2(9)_64<129>

= 139 · 179 · 13099 · 84155191976690091375532717318429_<32> · 36459701740409770008678743621002179900547434706089737737604298284369304773209328624822449_<89> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=2973101344 for P32 / May 30, 2005)

10¹³¹-7·10⁶⁵-1 =

(9)₆₅2(9)_65<131>

= 47 · 769 · 49199 · 485897117863919_<15> · 758238983448091_<15> · 152640259108836065578323345688715951253788676773987291695922346345612194208611759982230106883_<93>

10¹³³-7·10⁶⁶-1 =

(9)₆₆2(9)_66<133>

= 12659 · 746602123 · 4410268848809_<13> · 4106583907717825483024796569_<28> · 16190892924788094823835303809_<29> · 3608234986227038227691374458344815738114921516487663_<52> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=810115398 for P28, msieve 0.88 for P29 x P52 / May 26, 2005)

10¹³⁵-7·10⁶⁷-1 =

(9)₆₇2(9)_67<135>

= 1759 · 11202396544008702793_<20> · 50748501006699662535505093076974286313180024697117500554973596240482675920806086770558738333064264593039698537177_<113>

10¹³⁷-7·10⁶⁸-1 =

(9)₆₈2(9)_68<137>

= 15511 · 66037 · 30477113 · 7097309627_<10> · 145231263439_<12> · 225171188093_<12> · 20720716874674361792249_<23> · 666081816298578810840362779064227851634546720747815255220148963909_<66>

10¹³⁹-7·10⁶⁹-1 =

(9)₆₉2(9)_69<139>

= 11640271 · 8594963011_<10> · 100985135531476103167999_<24> · 889631446596705888137903_<24> · 1112564806943572976320554443825519370722463398257969779350986386082506281707_<76>

10¹⁴¹-7·10⁷⁰-1 =

(9)₇₀2(9)_70<141>

= 2144063848942308174619150267_<28> · 466404020800645335317603705077097139450003543693708997687015676910602837533958429083018374604282996186473046432397_<114> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=3912877471 for P28 / May 29, 2005)

10¹⁴³-7·10⁷¹-1 =

(9)₇₁2(9)_71<143>

= 631 · 4993 · 113021 · 711889 · 8174189 · 1018445325323_<13> · 124081059014402609188910712167753797_<36> · 381900090388147519926382272844193239916998973958499765471774268565374743_<72> (Kenichiro Yamaguchi / GMP-ECM 6.0 B1=11000000, sigma=4224398204 for P36 / Jul 8, 2005)

10¹⁴⁵-7·10⁷²-1 =

(9)₇₂2(9)_72<145>

= 107 · 269 · 4025029 · 7691253463_<10> · 10037114963_<11> · 1357432142821_<13> · 823703246538141133108995931540283390161164324078153224904984920530185346213774608028999938448706464693_<102>

10¹⁴⁷-7·10⁷³-1 =

(9)₇₃2(9)_73<147>

= 1523 · 33359 · 163141831126890373902190714753_<30> · 6771196048922895791023493473450472633_<37> · 17817893241367170326405819488787733173549447168880253186019589405975907843_<74> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=1818063565 for P30 / May 6, 2005) (Sinkiti Sibata / GGNFS-0.77.1 gnfs / 50.84 hours for P37 x P74 / Jul 29, 2005)

10¹⁴⁹-7·10⁷⁴-1 =

(9)₇₄2(9)_74<149>

= 9721 · 4189623909880529_<16> · 7690770857933312118597753750628516117910872540228607770081_<58> · 319259732546553198230034160874462037912072645302944776190499583078669031_<72> (Sinkiti Sibata / GGNFS-0.77.1 / 64.62 hours / Sep 20, 2005)

10¹⁵¹-7·10⁷⁵-1 =

(9)₇₅2(9)_75<151>

= 17² · 6230153 · 772038462749_<12> · 1375058674458523_<16> · 5231705363333506832058567959119668521872579487266650018676731183489928905287274299448455542573451594011537716712361_<115>

10¹⁵³-7·10⁷⁶-1 =

(9)₇₆2(9)_76<153>

= 17 · 211741 · 83491021 · 1096407467_<10> · 155463559909375465619621_<24> · 19521165973306877964234323934966750936993133062827102826185067490397498839062594842972873043829543791693361_<107>

10¹⁵⁵-7·10⁷⁷-1 =

(9)₇₇2(9)_77<155>

= 199 · 619 · 4289 · 13711 · 35755021 · 41525746087419388733_<20> · 36657522330835579700666604430670763490190943293_<47> · 253637525847050716244066106459667276977130462301438964753300582099649_<69> (Dmitry Domanov / Msieve 1.40 gnfs for P47 x P69 / Feb 16, 2011)

10¹⁵⁷-7·10⁷⁸-1 =

(9)₇₈2(9)_78<157>

= 263 · 26319623163747081556922129784166985861_<38> · 1444656462277390835210043740203116962499385270342686018690953168519217394909824071530484341603602863004614587295720693_<118> (Serge Batalov / GMP-ECM B1=3000000, sigma=2409943788 for P38 / Feb 14, 2011)

10¹⁵⁹-7·10⁷⁹-1 =

(9)₇₉2(9)_79<159>

= 751 · 10201589 · 28914163 · 3394569438078682206674496899_<28> · 1329832426052235255914542158088694231261627060949062940627603895104176211694632122462781601022626779116989205579093_<115>

10¹⁶¹-7·10⁸⁰-1 =

(9)₈₀2(9)_80<161>

= 97 · 1030927835051546391752577319587628865979381443298969072164948453608247422680412363917525773195876288659793814432989690721649484536082474226804123711340206185567_<160>

10¹⁶³-7·10⁸¹-1 =

(9)₈₁2(9)_81<163>

= 35649919 · 289018382857063_<15> · 1575838546432930336397673403_<28> · 20374867261845196861085172115306080073283649258983412959_<56> · 30228004505778269816386878084236829923537477502030447349771_<59> (Dmitry Domanov / Msieve 1.40 gnfs for P56 x P59 / Feb 16, 2011)

10¹⁶⁵-7·10⁸²-1 =

(9)₈₂2(9)_82<165>

= 20178956390111_<14> · 49556576696407599500575498119476144014241469303974207999527713083682045850722575095498771438912834499181980509279984630734905994114615628774510556599009_<152>

10¹⁶⁷-7·10⁸³-1 =

(9)₈₃2(9)_83<167>

= 138889 · 2732349857_<10> · 263509236255341220614180043822903485008853874968902562413903686693716646008708973194457604923593792756680481037374517399080122023895465291925045500537063_<153>

10¹⁶⁹-7·10⁸⁴-1 =

(9)₈₄2(9)_84<169>

= 54121 · 25027517 · 3166057638463474129_<19> · 165766414683886612447978757_<27> · 14066986190956609846556252048272135803235330406327688764389695072283597019249625442179402104168722309102712593319_<113>

10¹⁷¹-7·10⁸⁵-1 =

(9)₈₅2(9)_85<171>

= 1536487 · 3733799609_<10> · 5304344021362817_<16> · 44027096364631459327831871693_<29> · 746394407395301600599279988078226806410044947596092949977864555644070195292503192789832320873735833673168143413_<111> (Serge Batalov / GMP-ECM B1=250000, sigma=2943646302 for P29 / Feb 14, 2011)

10¹⁷³-7·10⁸⁶-1 =

(9)₈₆2(9)_86<173>

= 2791 · 100565797 · 2242778425861_<13> · 158855952851842937927264334320027111488655772761008597122652234989489715790671276067918801608530611524213276283997068081355259051714954335933447756017_<150>

10¹⁷⁵-7·10⁸⁷-1 =

(9)₈₇2(9)_87<175>

= 11489 · 2355883896728877766073581400862753003635342597964227250414328302524178720797452388507_<85> · 369456989366175137591610721639326867415594958166028325308431796486402002372601873120013_<87> (Dmitry Domanov / Msieve 1.40 snfs / Mar 14, 2011)

10¹⁷⁷-7·10⁸⁸-1 =

(9)₈₈2(9)_88<177>

= 1553 · 6000099772637_<13> · 5333899468227333920687102375278321335475392731_<46> · 223018212562717917367856725303053690550289461772848301633_<57> · 90216280027675092777712272443938186291571654799161033693633_<59> (Robert Backstrom / Msieve 1.44 snfs / Jan 7, 2012)

10¹⁷⁹-7·10⁸⁹-1 =

(9)₈₉2(9)_89<179>

= 173 · 578034682080924855491329479768786127167630057803468208092485549132947976878612716763005776300578034682080924855491329479768786127167630057803468208092485549132947976878612716763_<177>

10¹⁸¹-7·10⁹⁰-1 =

(9)₉₀2(9)_90<181>

= 67 · 4229767 · 383323559 · 127793497651439371_<18> · 104218372690016249713_<21> · 91119124391406930625069_<23> · 515753241266959536564067602299_<30> · 2415099939341643093294567373567_<31> · 60898077963831206774646643461611881757161919_<44> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2689190187 for P31 / Feb 13, 2011) (Makoto Kamada / Msieve 1.49 for P30 x P44 / Feb 14, 2011)

10¹⁸³-7·10⁹¹-1 =

(9)₉₁2(9)_91<183>

= 17 · 19362041 · 714994277 · 2719534980510269673667647393696073963473635970964789091_<55> · 1562437767370029533235730515001075729717098907445702130452035208257976907393687762267045142783886978392905476681_<112> (Dmitry Domanov / Msieve 1.40 snfs / Feb 5, 2012)

10¹⁸⁵-7·10⁹²-1 =

(9)₉₂2(9)_92<185>

= 17 · 489793121 · 12009872513453431266616939925636601220312793581896554143195442041719151245731046228441271660333362280448822151491468530589240830301733958119071928353531747299392841363467389807_<176>

10¹⁸⁷-7·10⁹³-1 =

(9)₉₃2(9)_93<187>

= 4589546537_<10> · 1523051128147905814524257_<25> · 425908329742595314814748537227_<30> · 204580239894126042610714779069587_<33> · 1234556118432236336718438173854514334697_<40> · 13299186791414928574244124912615559200877771815881087_<53> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=839370670 for P30 / Feb 13, 2011) (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2592950813 for P33 / Feb 13, 2011) (Norbert Schneider / Msieve v. 1.47 for P40 x P53 / Feb 15, 2011)

10¹⁸⁹-7·10⁹⁴-1 =

(9)₉₄2(9)_94<189>

= 3877 · 423184631202708564140232253391_<30> · 16549765112320687994876138838267798866523372393470859571_<56> · 36828368301561902317238805645372006318140082754036145681498377825127722275695013829348060020816290767_<101> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=977223473 for P30 / Feb 13, 2011) (Dmitry Domanov / Msieve 1.40 snfs / Apr 8, 2012)

10¹⁹¹-7·10⁹⁵-1 =

(9)₉₅2(9)_95<191>

= 47 · 467 · 26298538841619345407567_<23> · 7881385003174033472124290040778542176330443114884641365159_<58> · 21981184865172419984770464009366392347393009271157709007089844434637369069539548359694637888222094561264467_<107> (Dmitry Domanov / Msieve 1.40 snfs / Apr 8, 2012)

10¹⁹³-7·10⁹⁶-1 =

(9)₉₆2(9)_96<193>

= 139 · 62844437917505925187863725241811723_<35> · 222139345404887071059790617024941232259087298352136747209718223_<63> · 5153388283530189468476118684382195960834350461141150783373164505986269081726163817736057931929_<94> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3488428613 for P35 / Feb 14, 2011) (Dmitry Domanov / Msieve 1.40 snfs / Apr 15, 2012)

10¹⁹⁵-7·10⁹⁷-1 =

(9)₉₇2(9)_97<195>

= 71 · 52259 · 451181 · 516160697129351_<15> · 5806772491120292728002357013496940469773827945584141161135031059531250564433_<76> · 199301244573385037686482023924494382886439070809143134747775086021439829394644641386352896617_<93> (Dmitry Domanov / Msieve 1.40 snfs / Apr 15, 2012)

10¹⁹⁷-7·10⁹⁸-1 =

(9)₉₈2(9)_98<197>

= 1226111 · 81558684327927895598359365506059402452143403003480109060272683305181994126143554702632959006158495682691045101136846500846986936745531195788962010780426894465509240191140932590931816124315009_<191>

10¹⁹⁹-7·10⁹⁹-1 =

(9)₉₉2(9)_99<199>

= 2243 · 12799 · 374317 · 3284569934952963341_<19> · 371592018921308992073_<21> · 134277080100091995499481_<24> · 5678169546616171355361766971872955541468088470732476800411232027449981186348815730156840000171508690707321249658588869011187_<124>

10²⁰¹-7·10¹⁰⁰-1 =

(9)₁₀₀2(9)_100<201>

= 859513 · 6000592110389_<13> · 193889121838558135880794183304821306922764808056987803452659149032124084628584592385949025628116841933108214383731918000149609615555974845164843076098613689899493941948918421417717307_<183>

10²⁰³-7·10¹⁰¹-1 =

(9)₁₀₁2(9)_101<203>

= 2915111 · 1078761927125908796473153817_<28> · [31799426919428146992138289640140513055597460913829180852762119158057434593092360409541107046816077693271675495263411925550336351514037554976505520595664093615865763655377_<170>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3889787504 for P28 / Jan 20, 2012) SUBMIT/RESERVE

10²⁰⁵-7·10¹⁰²-1 =

(9)₁₀₂2(9)_102<205>

= 233 · 523 · 5527 · 1266017220067_<13> · 9943116614712582817662347419_<28> · 1179480539331713789729154898072960746887843732788835606500889872056807003209853928644974672136350567393908193722219055668956162652337361200411358476750550691_<157> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3855679178 for P28 / Jan 20, 2012)

10²⁰⁷-7·10¹⁰³-1 =

(9)₁₀₃2(9)_103<207>

= 21297780538485595883_<20> · 316494223358171731801_<21> · 23001139412613990604854440952971_<32> · 1676778912489027073002027706250465552791973816715317699_<55> · 3846579483533180699200278357177429384459197807603265117183940878641115055382027557_<82> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2864170560 for P32 / Jan 20, 2012) (Dmitry Domanov / Msieve 1.40 gnfs for P55 x P82 / Mar 1, 2012)

10²⁰⁹-7·10¹⁰⁴-1 =

(9)₁₀₄2(9)_104<209>

= 551736821 · 1998021044011_<13> · 4392901342369_<13> · 459142066547992265360617802357_<30> · [44974820559163442428070536484678919114670589864052806651620819274559656592162398577065585259062792578200358526391037270434945347494974453405710213_<146>] (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=3887057208 for P30 / Jan 16, 2012) SUBMIT/RESERVE

10²¹¹-7·10¹⁰⁵-1 =

(9)₁₀₅2(9)_105<211>

= 5234577113_<10> · 396314153260009_<15> · 4820352694724440013535195843573317149753973867998921680088215662510987980328777570573244955829074366683692231170481497029184279845333568364192586644372666494458796773117967249780416683647_<187>

10²¹³-7·10¹⁰⁶-1 =

(9)₁₀₆2(9)_106<213>

= 977 · 5749 · 395959 · 2729539 · 43504861287127_<14> · [3786481302700823983344447352286589406120193185723425671983076914117928648655833311713055657413380205080416456140777311202612277627665268099985805423967866758994958936578361360155169_<181>] SUBMIT/RESERVE

10²¹⁵-7·10¹⁰⁷-1 =

(9)₁₀₇2(9)_107<215>

= 17 · 2111507 · 1313467043623644241729657606686395917_<37> · 2120993671918983160138289859129839464899781832363779002760988973623765013402372831623638107876472974331007265432774826382784440770575798165984683291249096675252564861638313_<172> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3033301501 for P37 / Jan 22, 2012)

10²¹⁷-7·10¹⁰⁸-1 =

(9)₁₀₈2(9)_108<217>

= 17 · 74493284315993019013800367061_<29> · 7896487576281535795755221298367443269254718678838270612482490767989783877541721428560127405587696687704912092814741897981818749550170349055818488691949832395627982526174907007013695987027_<187> (Serge Batalov / GMP-ECM B1=50000, sigma=777148027 for P29 / Jan 20, 2012)

10²¹⁹-7·10¹⁰⁹-1 =

(9)₁₀₉2(9)_109<219>

= 222389 · 4169514726131_<13> · [1078452908331097070782424906015365118671436504990374030353333754062062215312656577901808752910306494685848280354256046827169296301202914134677630842475341499166780840549010024039371957894233641944484561_<202>] SUBMIT/RESERVE

10²²¹-7·10¹¹⁰-1 =

(9)₁₁₀2(9)_110<221>

= 109 · 139 · 317 · 1773041 · 1969667459_<10> · 9577851442843_<13> · 31431538746282304832603264238214247_<35> · 19804049900524144919205606516885050710409815302058203938269768869993651080508572186460126441500512091649083510676187020346999635854387554627876761321203_<152> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3880320897 for P35 / Jan 21, 2012)

10²²³-7·10¹¹¹-1 =

(9)₁₁₁2(9)_111<223>

= 47 · 95400059 · 297216001603_<12> · [7503801056986530936692567278480841411047750998322243206566344397126704772658551223136954194820895430820370024109059938699532482926298206809610489959216010856380642989222679405343164327247036999951947521_<202>] SUBMIT/RESERVE

10²²⁵-7·10¹¹²-1 =

(9)₁₁₂2(9)_112<225>

= 33887177 · 291134717594509_<15> · [101360935719850308866986853008745961410460847873560517493727376316292560723787621050329048441909365462944248857267615786736425251978237108547720663067801103537597863284527472561866712292771800625121811043_<204>] SUBMIT/RESERVE

10²²⁷-7·10¹¹³-1 =

(9)₁₁₃2(9)_113<227>

= 715159 · 2851097 · 1664172977_<10> · 191142915609889_<15> · 5545922256127177855195649308618662460105567_<43> · [27800649944863113595827554864108248622737083044975902374001549113803957351460163526165333283082761542951444930029075800071519479955773868974050834863_<149>] (Dmitry Domanov / GMP-ECM B1=43000000, sigma=2211870427 for P43 / Feb 5, 2012) SUBMIT/RESERVE

10²²⁹-7·10¹¹⁴-1 =

(9)₁₁₄2(9)_114<229>

= 162870139 · 2323259780168425907_<19> · 26427784629669510559700051007399595168499449138317612236629011703473741267941368488635920670193094719205483436106869621915104197977899373932045902654192440080809572691729509286308173587191798571586148863_<203>

10²³¹-7·10¹¹⁵-1 =

(9)₁₁₅2(9)_115<231>

= 70079 · 73714347205271_<14> · 163721942303661093325017703_<27> · 32300149130722840060812681872191591_<35> · [36605695638147534784755477709163458182415851744347157652145944864762047892255830570273828631217790828838182759660565844517449616952026480355222893816407_<152>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2428108871 for P35 / Jan 21, 2012) SUBMIT/RESERVE

10²³³-7·10¹¹⁶-1 =

(9)₁₁₆2(9)_116<233>

= 733 · 30139 · 15504211 · 1864733402789_<13> · [156567193325686156453162801553718713696906938207330688351538809298957671669088954130208025069759864727004978596503170482708238354335324560527842529515682179253152085639508898470494626810312371604767828994063_<207>] SUBMIT/RESERVE

10²³⁵-7·10¹¹⁷-1 =

(9)₁₁₇2(9)_117<235>

= 2791 · 15187 · [235921852962318538052673186870373233325745300135888628087765854732959228905466278663296035425270490892272254667637186092114224773648906807730319239778632637990632817196872327374033832184586578920094613156224596377226491844169747_<228>] SUBMIT/RESERVE

10²³⁷-7·10¹¹⁸-1 =

(9)₁₁₈2(9)_118<237>

= 167 · 4517 · 90771589 · 973734490068431758063_<21> · 14998331456364168298203705772776530106310543129275490720882300575234228225204659591128724889798128966313536435336272119239427263615712081288456772117590497294508858333054230840928010660258567582393421663_<203>

10²³⁹-7·10¹¹⁹-1 =

(9)₁₁₉2(9)_119<239>

= 369581 · [270576680078250775878630124384099831971881671406268179370692757474004345461482056707460610799797608643301468419642784665066656565137277078637700531142022993606273049750934165987970160803720970504436104669882921470530140889277316745179_<234>] SUBMIT/RESERVE

10²⁴¹-7·10¹²⁰-1 =

(9)₁₂₀2(9)_120<241>

= 9811 · 38037959287_<11> · 44110914317824128720623_<23> · [607468069907495831530702006017327017954249226682221713186350208756738855551041037905196253425941326351695441827808166708423930104240588987827942477676631943451184212180501080418373023130541737573168822509_<204>] SUBMIT/RESERVE

10²⁴³-7·10¹²¹-1 =

(9)₁₂₁2(9)_121<243>

= [999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999929999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999_<243>] SUBMIT/RESERVE

10²⁴⁵-7·10¹²²-1 =

(9)₁₂₂2(9)_122<245>

= 37049 · 206967707231_<12> · 183503349887180231_<18> · [71068463203520727353466326321897053860184272992251031940127553355558823820409865742532787629956231529496853294479327373437269691517734854780428213158295721176698750657491052391661007151052153115811872895642339791_<212>] SUBMIT/RESERVE

10²⁴⁷-7·10¹²³-1 =

(9)₁₂₃2(9)_123<247>

= 17 · 67 · 971 · 8803 · 6282777961609_<13> · 84114993224783_<14> · 1943574615394898455776654341894963824513996623210609675923951230005614828817965310536097785238325591901152337466463986586073383826562480913781279710906759522516655885067116715341016475627057603995223181922544531_<211>

10²⁴⁹-7·10¹²⁴-1 =

(9)₁₂₄2(9)_124<249>

= 17 · 24103 · [2440506551539837608694060539205517497211721264865735532067035833957696259435608454890897154613411559703332023594817340287149830018718685250310554458683444335706319203613902101520191530954164846455530309871116849013181175884866662924556620972249_<244>] SUBMIT/RESERVE

10²⁵¹-7·10¹²⁵-1 =

(9)₁₂₅2(9)_125<251>

= 107 · 331 · 444167 · 16927880643327821_<17> · 375525429436682171824145660517526571223153704515446224112441926721449865846849160914587623021521673013721896765849495396202572281890075689068984457642494528544793048897394046202465703306043986859502337003980115178641473412021_<225>

10²⁵³-7·10¹²⁶-1 =

(9)₁₂₆2(9)_126<253>

= [9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999_<253>] SUBMIT/RESERVE

10²⁵⁵-7·10¹²⁷-1 =

(9)₁₂₇2(9)_127<255>

= 283 · 921911 · 2181737 · 4189072884446378897074977663209_<31> · [419376657632480139127970360950645249825498156450803961919368008965715595429576826858056280170249687860061520685478363186947129933810783325987643839142379877493923693514576568914272695875752016515669428254774731_<210>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1676407086 for P31 / Jan 21, 2012) SUBMIT/RESERVE

10²⁵⁷-7·10¹²⁸-1 =

(9)₁₂₈2(9)_128<257>

= 2969 · 135528771766653583399007_<24> · 84699266347993099839843797728655895358021_<41> · [2934125267098307749294603143539595747061749698837949399698402928603808738373032306578423160330498716732576169335302526806078298492497530453420609273210148387360100114762252717846554225000693_<190>] (Dmitry Domanov / GMP-ECM B1=11000000, sigma=3153677333 for P41 / Jan 29, 2012) SUBMIT/RESERVE

10²⁵⁹-7·10¹²⁹-1 =

(9)₁₂₉2(9)_129<259>

= 120917 · 44074447 · 1876401469751180118692418420950102543072868983938811729338193041135770268728002011524428544458778907971515513727668539283777596999296436006680186636503864337797744448292955319547314003701608461617615829968764587792730314259385229644072735971317901_<247>

10²⁶¹-7·10¹³⁰-1 =

(9)₁₃₀2(9)_130<261>

= 167 · 4261 · 42703 · 224911 · 3959985733817_<13> · 389453204769636140801038803763013183_<36> · [94875484861890413300347903446564968964885578964002363643494143088501409563489163018713411988434389934787867601070170301994954062360879032478072910509868905326685352786891663493821908217800914038979_<197>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2285285033 for P36 / Jan 23, 2012) SUBMIT/RESERVE

10²⁶³-7·10¹³¹-1 =

(9)₁₃₁2(9)_131<263>

= 444682666156969_<15> · 2236002663332944101563716515326771110873537_<43> · [100572091685046366322455265338021603578610261204126604102516771812062512888805840017468414135202268750473398401083412855625114786124508146649212968611150962004858046871662159834085262503171648563814799282983_<207>] (Dmitry Domanov / GMP-ECM B1=43000000, sigma=4071704944 for P43 / Feb 7, 2012) SUBMIT/RESERVE

10²⁶⁵-7·10¹³²-1 =

(9)₁₃₂2(9)_132<265>

= 71 · 173 · 121171 · 865687 · 15928233467981909089273649495028857651_<38> · 21586029968755843092641989855451671957_<38> · [22573326950553357320175305558217848970990408687931924688345464439367482473276672028430397715131373293614608161073186030342904144850641681735918871343933706456387221070895479127_<176>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3465797344 for P38 / Jan 20, 2012) (Dmitry Domanov / GMP-ECM B1=43000000, sigma=2355155821 for P38 / Feb 7, 2012) SUBMIT/RESERVE

10²⁶⁷-7·10¹³³-1 =

(9)₁₃₃2(9)_133<267>

= 1668137 · 4078369003133_<13> · 146987961632210407598457391845586044492622918201261875069762876233359289648121283694915520097972215526520706394596458981054805908103299149967678834851222652982442070206921538895106969512492259513392645511611346220015081563250637190517496908940992819_<249>

10²⁶⁹-7·10¹³⁴-1 =

(9)₁₃₄2(9)_134<269>

= 110059 · 908603567177604739276206398386320064692573983045457436465895565105988606111267592836569476371764235546388755122252609963746717669613564542654394461152654485321509372245795436992885634068999354891467303900635113893457145712754068272472037725220109214148774748089661_<264>

10²⁷¹-7·10¹³⁵-1 =

(9)₁₃₅2(9)_135<271>

= 13763 · 1041311 · 4834787661147079_<16> · 2078900694290779246631_<22> · 1295849772131455691932463459_<28> · 53572341417705120996614912510638357880927319266849339007964719422992445981295198081474609359975987728953038977236131090186281860261427411590208214283956002374950621029399131879760532145904590594473_<197>

10²⁷³-7·10¹³⁶-1 =

(9)₁₃₆2(9)_136<273>

= 691 · 1471 · 3567265969_<10> · 3869284633_<10> · [71275965768647034292323979936758096960540270499075528758586960706426056704056152317703536630485603307674840278395684525908689043691237630430303758301651140440782921817895621504889038252383075388979105756233775406822307932358144316944856156705808867_<248>] SUBMIT/RESERVE

10²⁷⁵-7·10¹³⁷-1 =

(9)₁₃₇2(9)_137<275>

= 64651384567351079297_<20> · 1353707612333292459412272643_<28> · [1142608100821948527987939131563954558317547564591804132468408357172747311665443782853184563542219222322886798952400880538671754014336623311014956258941392320147391913656420440549771528687263532276793938130916247049059177275354069_<229>] SUBMIT/RESERVE

10²⁷⁷-7·10¹³⁸-1 =

(9)₁₃₈2(9)_138<277>

= 134248909703_<12> · 6322798780079_<13> · [11780938039973101136888105202498608723528738440951661828852489037181961931277019853191878302936345714376728048504919399695875909508414497991535947769455298974303014233910172972302035970600847770048776505849328371420318640929870830455103084536946290315527_<254>] SUBMIT/RESERVE

10²⁷⁹-7·10¹³⁹-1 =

(9)₁₃₉2(9)_139<279>

= 17 · [58823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294113529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647_<278>] SUBMIT/RESERVE

10²⁸¹-7·10¹⁴⁰-1 =

(9)₁₄₀2(9)_140<281>

= 17 · 823 · 3188981 · 6375805857100152749671_<22> · [351531483833015837796823485970510548365000973836128614360818417029311504274960089118761335148151888815870641160736839169072548486077650798607625430959306010960733711328695483750178562703643812259630502973322429348543391244665299933971283736103173139_<249>] SUBMIT/RESERVE

10²⁸³-7·10¹⁴¹-1 =

(9)₁₄₁2(9)_141<283>

= 47 · 4271 · 7522295270629487_<16> · [6622503461539197382190120126331608857837976286271722789845473582153983030211672458801043150670379667875022257089982120486776452343052233688802045965960367100578268910588074352011145217657398062544106949147190165663476592183469653634419177997214464094456828266321_<262>] SUBMIT/RESERVE

10²⁸⁵-7·10¹⁴²-1 =

(9)₁₄₂2(9)_142<285>

= 139 · 463537 · 15520324384712648100561396517546510493299076666413737113610466211454517774752383700660869380593010797505194768973996208664118653624896698660934814280616746029586735821714184752358402532122298976606882428871168161892131169152399233401513601011229839350829529521697902380046400493_<278>

10²⁸⁷-7·10¹⁴³-1 =

(9)₁₄₃2(9)_143<287>

= 35967569559389162966115414457_<29> · 11942977471274916459463787068482526951_<38> · [232796418610001704413055469259523178173691708003450981174420645685210526713650271585547372466091387639487736685129752456888577518711910833057840062082772943102940983378128201533210163558904654164043481948648848229551062257_<222>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1848278955 for P38 / Jan 20, 2012) SUBMIT/RESERVE

10²⁸⁹-7·10¹⁴⁴-1 =

(9)₁₄₄2(9)_144<289>

= 1319 · 34601689 · 63246374009785877_<17> · 480557956097413259733703651633348303057159013_<45> · [7209024514096482068021466204755984285762154711194812267800098481576368431477104449064111649620907732744397778754311212751163155832985841027919164342127688136029278874761335467844772273906856927578725222354722243486089_<217>] (Dmitry Domanov / GMP-ECM B1=43000000, sigma=975195925 for P45 / Feb 8, 2012) SUBMIT/RESERVE

10²⁹¹-7·10¹⁴⁵-1 =

(9)₁₄₅2(9)_145<291>

= 293651512049864219809865429_<27> · 29082967569374257211050253224007_<32> · [117092489484861416331717328761289041757424772585026176552931444086405541288748843798683597770539707584066241792462565422140446745815336466372839671130976803035760808731418377524874326312056386065327564724321209945387685804926832239333_<234>] (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1881620711 for P32 / Jan 19, 2012) SUBMIT/RESERVE

10²⁹³-7·10¹⁴⁶-1 =

(9)₁₄₆2(9)_146<293>

= 1205986139_<10> · [82919692661575441208284069672877061151695376160538110463307737900957748901623155388521426447339955704084588985479210387508442167924452405335647061943553565170785101370058118056031819781968489108812219938789860336860803671309857401271508312086827392632246497154806851391183360856189741_<284>] SUBMIT/RESERVE

10²⁹⁵-7·10¹⁴⁷-1 =

(9)₁₄₇2(9)_147<295>

= 104711 · 1168473515707_<13> · 246051711060775093_<18> · [332171547756674332074368479823305155463231085705002010575622141297185880015109270648052402922071725331750222554338612365162949873881162895150546688805863841969079501980710714799261213147630832319576400092118891728941765361130163468866688458166541553341245087359_<261>] SUBMIT/RESERVE

10²⁹⁷-7·10¹⁴⁸-1 =

(9)₁₄₈2(9)_148<297>

= 223 · 307 · 761 · 2791 · 104709127694882661749_<21> · 162725035851868910633_<21> · 403620625132518726725524789230088407748083402998131105730460339123488826711126912194748284743384248175725465451140086334952635796682140704382373524025741857339122980483537994719427642800209554125782583472672034085617236406979685715775041737737977_<246>

10²⁹⁹-7·10¹⁴⁹-1 =

(9)₁₄₉2(9)_149<299>

= 257 · 331 · 367 · 147097 · 197728969 · 110128240661413260567068523912021665320050498525846414813232364992772755827616519009368041361289190326593652816235923526335483349105542811480562235812193555670433868304200868371022438313473733455451715032393898140981135648692716133100670531255735518255280733715956849670220719187_<279>

10³⁰¹-7·10¹⁵⁰-1 =

(9)₁₅₀2(9)_150<301>

= 489327896719492242493_<21> · [20436194353604391065622778380947513487093148875041835145894583928830993903650630783290547732263984186471008490832666178099033574618542919861668192177936577435607983860632111567289943486003082265574339099669804614168495397435405166329309489773473813744429717046843488552177513489643_<281>] SUBMIT/RESERVE

4. References

• Palindromic Wing Primes (Patrick De Geest)
• A077778 - OEIS (The OEIS Foundation Inc.)
• A115073 - OEIS (The OEIS Foundation Inc.)