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Factorizations of 755...551

About 755...551
- First ten terms
- General term
Prime numbers of the form 755...551
Factorizations of 755...551
References

1. About 755...551

First ten terms

71, 751, 7551, 75551, 755551, 7555551, 75555551, 755555551, 7555555551, 75555555551

General term

(68·10ⁿ-41)/9

2. Prime numbers of the form 755...551

Last update

Oct 16, 2010

Searched up to

n≤30000

Difficulty of search

16.63%

Results

(68·10¹-41)/9 = 71 is prime.
(68·10²-41)/9 = 751 is prime.
(68·10⁵-41)/9 = 755551 is prime.
(68·10⁷-41)/9 = 75555551 is prime.
(68·10²³-41)/9 = 7(5)₂₂1_<24> is prime.
(68·10³²-41)/9 = 7(5)₃₁1_<33> is prime.
(68·10³⁸-41)/9 = 7(5)₃₇1_<39> is prime.
(68·10⁴⁷-41)/9 = 7(5)₄₆1_<48> is prime.
(68·10¹¹⁶-41)/9 = 7(5)₁₁₅1_<117> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 6, 2005)
(68·10¹⁴⁰-41)/9 = 7(5)₁₃₉1_<141> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 6, 2005)
(68·10²²⁹-41)/9 = 7(5)₂₂₈1_<230> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 6, 2005)
(68·10²⁴⁷-41)/9 = 7(5)₂₄₆1_<248> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 6, 2005)
(68·10⁷³⁴-41)/9 = 7(5)₇₃₃1_<735> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
(68·10⁹³¹-41)/9 = 7(5)₉₃₀1_<932> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
(68·10¹³⁴⁶-41)/9 = 7(5)₁₃₄₅1_<1347> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 5, 2006)
(68·10²¹⁶²-41)/9 = 7(5)₂₁₆₁1_<2163> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Ray Chandler / Primo 3.0.9 / Sep 7, 2010)
(68·10²⁵⁴⁶-41)/9 = 7(5)₂₅₄₅1_<2547> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
(68·10⁶⁹⁸⁰-41)/9 = 7(5)₆₉₇₉1_<6981> is PRP. (Makoto Kamada / PFGW / Dec 25, 2004)
(68·10¹⁰²⁸³-41)/9 = 7(5)₁₀₂₈₂1_<10284> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)
(68·10¹⁰⁵⁴³-41)/9 = 7(5)₁₀₅₄₂1_<10544> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)
(68·10¹²¹²⁸-41)/9 = 7(5)₁₂₁₂₇1_<12129> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)
(68·10¹³⁷⁴¹-41)/9 = 7(5)₁₃₇₄₀1_<13742> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)

3. Factorizations of 755...551

Last update

Dec 8, 2011

Completed up to

n≤100 / Jan 6, 2005
n≤150 / Dec 16, 2009

Range

n≤200

Terms which have not been factored yet

n=183, 185, 188, 189, 190, 193, 194, 195, 196, 197 (10/200)

Results

(68·10¹-41)/9 =: 71; = definitely prime number

(68·10²-41)/9 =: 751; = definitely prime number

(68·10³-41)/9 =: 7551; = 3² · 839

(68·10⁴-41)/9 =: 75551; = 7 · 43 · 251

(68·10⁵-41)/9 =: 755551; = definitely prime number

(68·10⁶-41)/9 =: 7555551; = 3 · 2518517

(68·10⁷-41)/9 =: 75555551; = definitely prime number

(68·10⁸-41)/9 =: 755555551; = 307 · 2461093

(68·10⁹-41)/9 =: 7555555551_<10>; = 3 · 1487 · 1693691

(68·10¹⁰-41)/9 =: 75555555551_<11>; = 7 · 3863 · 2794111

(68·10¹¹-41)/9 =: 755555555551_<12>; = 1381 · 547107571

(68·10¹²-41)/9 =: 7555555555551_<13>; = 3² · 6217 · 135033967

(68·10¹³-41)/9 =: 75555555555551_<14>; = 257 · 377789 · 778187

(68·10¹⁴-41)/9 =: 755555555555551_<15>; = 83 · 233 · 5449 · 7169941

(68·10¹⁵-41)/9 =: 7555555555555551_<16>; = 3 · 23 · 47 · 1379473 · 1688909

(68·10¹⁶-41)/9 =: 75555555555555551_<17>; = 7 · 127 · 84989376327959_<14>

(68·10¹⁷-41)/9 =: 755555555555555551_<18>; = 19 · 30319 · 1311589494091_<13>

(68·10¹⁸-41)/9 =: 7555555555555555551_<19>; = 3 · 103 · 19417 · 1259290111867_<13>

(68·10¹⁹-41)/9 =: 75555555555555555551_<20>; = 20443 · 3695913298222157_<16>

(68·10²⁰-41)/9 =: 755555555555555555551_<21>; = 29 · 12889 · 15887 · 177101 · 718433

(68·10²¹-41)/9 =: 7555555555555555555551_<22>; = 3³ · 8802561337_<10> · 31790223349_<11>

(68·10²²-41)/9 =: 75555555555555555555551_<23>; = 7 · 59357 · 181842929960253949_<18>

(68·10²³-41)/9 =: 755555555555555555555551_<24>; = definitely prime number

(68·10²⁴-41)/9 =: 7555555555555555555555551_<25>; = 3 · 521 · 31756163807_<11> · 152222689811_<12>

(68·10²⁵-41)/9 =: 75555555555555555555555551_<26>; = 43 · 1757105943152454780361757_<25>

(68·10²⁶-41)/9 =: 755555555555555555555555551_<27>; = 373 · 6269 · 323116623290635847423_<21>

(68·10²⁷-41)/9 =: 7555555555555555555555555551_<28>; = 3 · 429673 · 21268249 · 275597547287221_<15>

(68·10²⁸-41)/9 =: 75555555555555555555555555551_<29>; = 7 · 60623 · 178045474385147446526791_<24>

(68·10²⁹-41)/9 =: 755555555555555555555555555551_<30>; = 1934113 · 257213011169_<12> · 1518768655583_<13>

(68·10³⁰-41)/9 =: 7555555555555555555555555555551_<31>; = 3² · 125927 · 6666609804406570257685057_<25>

(68·10³¹-41)/9 =: 75555555555555555555555555555551_<32>; = 8685913 · 8698631399549541372974327_<25>

(68·10³²-41)/9 =: 755555555555555555555555555555551_<33>; = definitely prime number

(68·10³³-41)/9 =: 7555555555555555555555555555555551_<34>; = 3 · 929 · 759741491 · 1640826169_<10> · 2174708319887_<13>

(68·10³⁴-41)/9 =: 75555555555555555555555555555555551_<35>; = 7² · 3643 · 78437 · 5396226585655526510103289_<25>

(68·10³⁵-41)/9 =: 755555555555555555555555555555555551_<36>; = 19 · 52553 · 756685286688581607896144499293_<30>

(68·10³⁶-41)/9 =: 7555555555555555555555555555555555551_<37>; = 3 · 71 · 41941 · 46993 · 196272991 · 91696826794555769_<17>

(68·10³⁷-41)/9 =: 75555555555555555555555555555555555551_<38>; = 23 · 3285024154589371980676328502415458937_<37>

(68·10³⁸-41)/9 =: 755555555555555555555555555555555555551_<39>; = definitely prime number

(68·10³⁹-41)/9 =: 7555555555555555555555555555555555555551_<40>; = 3² · 797 · 49230541 · 52561239301_<11> · 407066504181474707_<18>

(68·10⁴⁰-41)/9 =: 75555555555555555555555555555555555555551_<41>; = 7 · 739 · 1373 · 10637838374972570411969533043167519_<35>

(68·10⁴¹-41)/9 =: 755555555555555555555555555555555555555551_<42>; = 409 · 479 · 52711 · 303731 · 18697901 · 294058663 · 43811726927_<11>

(68·10⁴²-41)/9 =: 7555555555555555555555555555555555555555551_<43>; = 3 · 1542616237_<10> · 1632628036780166808602390277134441_<34>

(68·10⁴³-41)/9 =: 75555555555555555555555555555555555555555551_<44>; = 400387926362459249_<18> · 188705878925922867110085199_<27>

(68·10⁴⁴-41)/9 =: 755555555555555555555555555555555555555555551_<45>; = 71166879317_<11> · 45266196188039_<14> · 234538681609168254277_<21>

(68·10⁴⁵-41)/9 =: 7555555555555555555555555555555555555555555551_<46>; = 3 · 311 · 12606941 · 1698717161_<10> · 378141171182769174694403447_<27>

(68·10⁴⁶-41)/9 =: 75555555555555555555555555555555555555555555551_<47>; = 7 · 43 · 251015134736064968623108157991878922111480251_<45>

(68·10⁴⁷-41)/9 =: 755555555555555555555555555555555555555555555551_<48>; = definitely prime number

(68·10⁴⁸-41)/9 =: 7555555555555555555555555555555555555555555555551_<49>; = 3⁵ · 29 · 199 · 317 · 691 · 982741 · 8295347 · 62039767 · 48632652229935329_<17>

(68·10⁴⁹-41)/9 =: 75555555555555555555555555555555555555555555555551_<50>; = 631 · 521137 · 229765667641725595672671535962738317803433_<42>

(68·10⁵⁰-41)/9 =: 755555555555555555555555555555555555555555555555551_<51>; = 2659 · 284150265346203668881367264217959968242029167189_<48>

(68·10⁵¹-41)/9 =: 7(5)₅₀1_<52>; = 3 · 16741 · 36998374727_<11> · 262924470826081_<15> · 15465006146120785215751_<23>

(68·10⁵²-41)/9 =: 7(5)₅₁1_<53>; = 7 · 103 · 317459 · 330098457287238518738881892573446412812321909_<45>

(68·10⁵³-41)/9 =: 7(5)₅₂1_<54>; = 19 · 1279 · 7919 · 838805771 · 2675521223_<10> · 2038468700977_<13> · 858218865910169_<15>

(68·10⁵⁴-41)/9 =: 7(5)₅₃1_<55>; = 3 · 59 · 109 · 251 · 139427117 · 184161311 · 78206072837_<11> · 776974550901499419503_<21>

(68·10⁵⁵-41)/9 =: 7(5)₅₄1_<56>; = 61 · 83 · 367 · 40662344139889466593163499877325295583848175417831_<50>

(68·10⁵⁶-41)/9 =: 7(5)₅₅1_<57>; = 571 · 243806753 · 18514594041277_<14> · 293136818789207913153521176070801_<33>

(68·10⁵⁷-41)/9 =: 7(5)₅₆1_<58>; = 3² · 5303 · 158307782922780722768151267742693979415332108776071313_<54>

(68·10⁵⁸-41)/9 =: 7(5)₅₇1_<59>; = 7 · 127 · 1644689 · 51675043931076942281707638993217857868156280603431_<50>

(68·10⁵⁹-41)/9 =: 7(5)₅₈1_<60>; = 23 · 227 · 439934221 · 3982007613037_<13> · 82608146607229423737003643319368603_<35>

(68·10⁶⁰-41)/9 =: 7(5)₅₉1_<61>; = 3 · 2333 · 260453 · 702600950213844163091_<21> · 5899189031584315267209508625863_<31>

(68·10⁶¹-41)/9 =: 7(5)₆₀1_<62>; = 47 · 8986403 · 547190174917_<12> · 138068265560052264343_<21> · 2367829867954741344281_<22>

(68·10⁶²-41)/9 =: 7(5)₆₁1_<63>; = 124679 · 499283 · 436640563351_<12> · 4473939276702241_<16> · 6213154453809729089706373_<25>

(68·10⁶³-41)/9 =: 7(5)₆₂1_<64>; = 3 · 439 · 4055681650186841_<16> · 43529727686746573_<17> · 32496068399047143765212254871_<29>

(68·10⁶⁴-41)/9 =: 7(5)₆₃1_<65>; = 7 · 607154439571_<12> · 17777438638639148923575105012596982245897363736878483_<53>

(68·10⁶⁵-41)/9 =: 7(5)₆₄1_<66>; = 218512058151630161381693_<24> · 3457729344305839163641237790714509014520907_<43>

(68·10⁶⁶-41)/9 =: 7(5)₆₅1_<67>; = 3² · 5639 · 2470297204605311_<16> · 60266031231441434922711033656215825022590306591_<47>

(68·10⁶⁷-41)/9 =: 7(5)₆₆1_<68>; = 43 · 2480880774577_<13> · 6955327273776925129_<19> · 101829704653399864498618321712687429_<36>

(68·10⁶⁸-41)/9 =: 7(5)₆₇1_<69>; = 3677 · 1470051313_<10> · 139778468924761911746140754806600339773902698846804442651_<57>

(68·10⁶⁹-41)/9 =: 7(5)₆₈1_<70>; = 3 · 983 · 2562073772653630232470517312836743152104291473569194830639388116499_<67>

(68·10⁷⁰-41)/9 =: 7(5)₆₉1_<71>; = 7 · 15643 · 335121770534696077_<18> · 2058949411454692804066133857547002095704471636663_<49>

(68·10⁷¹-41)/9 =: 7(5)₇₀1_<72>; = 19 · 71² · 17737 · 926156324662627_<15> · 114137447797984123_<18> · 4207300043772738937164330714397_<31>

(68·10⁷²-41)/9 =: 7(5)₇₁1_<73>; = 3 · 97 · 167 · 683 · 227633533270225953296515015298697425018510037495628222673626213801_<66>

(68·10⁷³-41)/9 =: 7(5)₇₂1_<74>; = 1014897613_<10> · 3890006127202619_<16> · 321185866179255834295601_<24> · 59585070970978426643459633_<26>

(68·10⁷⁴-41)/9 =: 7(5)₇₃1_<75>; = 61398309223_<11> · 1094110650579342427_<19> · 614020535675869671031_<21> · 18317485213096962340238701_<26>

(68·10⁷⁵-41)/9 =: 7(5)₇₄1_<76>; = 3³ · 1429 · 221940289 · 144390563029656730821546313_<27> · 6110763181162666622702204156026677521_<37>

(68·10⁷⁶-41)/9 =: 7(5)₇₅1_<77>; = 7² · 29 · 521 · 82427027 · 96431473 · 19324325778649921_<17> · 664418650913629926280450670831079877921_<39>

(68·10⁷⁷-41)/9 =: 7(5)₇₆1_<78>; = 263 · 13469 · 945473 · 10057450397_<11> · 22430464714175070210067302536109092745330013507685517793_<56>

(68·10⁷⁸-41)/9 =: 7(5)₇₇1_<79>; = 3 · 111423751 · 22603067083233614335228388770707589251043240489350592034175177952127267_<71>

(68·10⁷⁹-41)/9 =: 7(5)₇₈1_<80>; = 11431456714078421_<17> · 6609442474860184863333467983281564623071767157482642111441634531_<64>

(68·10⁸⁰-41)/9 =: 7(5)₇₉1_<81>; = 313 · 222127 · 349625971 · 31744694263_<11> · 42935453039_<11> · 22804987082342691681599502423779180187004283_<44>

(68·10⁸¹-41)/9 =: 7(5)₈₀1_<82>; = 3 · 23 · 1721 · 14947335726941_<14> · 1633705384640018917927918279433_<31> · 2605547005974929301444375420988783_<34>

(68·10⁸²-41)/9 =: 7(5)₈₁1_<83>; = 7 · 45844769 · 235439092160128315856355406516516500514893003248654031843712655497310797897_<75>

(68·10⁸³-41)/9 =: 7(5)₈₂1_<84>; = 1453 · 2774711939_<10> · 297780421844787016451003500763_<30> · 629342042537103574785386010806296379265931_<42> (Makoto Kamada / msieve 0.83)

(68·10⁸⁴-41)/9 =: 7(5)₈₃1_<85>; = 3² · 673 · 1523 · 6075316512047_<13> · 20639463282994097751760949_<26> · 6531931444666441670245679063007049391047_<40>

(68·10⁸⁵-41)/9 =: 7(5)₈₄1_<86>; = 226133 · 3967604021_<10> · 84212030131704186847042273211690321774374117553399148909207022998430007_<71>

(68·10⁸⁶-41)/9 =: 7(5)₈₅1_<87>; = 103 · 9128887601_<10> · 404970710200189537_<18> · 1984210324103592547363071126454719147722149451886296461241_<58>

(68·10⁸⁷-41)/9 =: 7(5)₈₆1_<88>; = 3 · 541 · 7343207 · 9502499 · 66715121305607510804664749125068050999712978657743438023015240449164309_<71>

(68·10⁸⁸-41)/9 =: 7(5)₈₇1_<89>; = 7 · 43 · 3557 · 70569337851016297054570750068000821510115336242658064679496379844857461872061318943_<83>

(68·10⁸⁹-41)/9 =: 7(5)₈₈1_<90>; = 19 · 39766081871345029239766081871345029239766081871345029239766081871345029239766081871345029_<89>

(68·10⁹⁰-41)/9 =: 7(5)₈₉1_<91>; = 3 · 9043 · 22481 · 1280789 · 9672514803772016494230203747111364075506654531190949273498187812803858740491_<76>

(68·10⁹¹-41)/9 =: 7(5)₉₀1_<92>; = 8069 · 5165581 · 41609433856124889239_<20> · 43564798040823087182965613227321992528880589433982512811322681_<62>

(68·10⁹²-41)/9 =: 7(5)₉₁1_<93>; = 1217 · 50980274603029_<14> · 12177935081901056165905057629798475828264504640439743069463658831224885185507_<77>

(68·10⁹³-41)/9 =: 7(5)₉₂1_<94>; = 3² · 131 · 16316175283_<11> · 1262133422620030997_<19> · 311192390278201803958466079889647580332531182423726456300694019_<63>

(68·10⁹⁴-41)/9 =: 7(5)₉₃1_<95>; = 7 · 2203 · 2503 · 72697587094302319_<17> · 5208141859355624940973038953963_<31> · 5169996094617569701734591732885827298841_<40>

(68·10⁹⁵-41)/9 =: 7(5)₉₄1_<96>; = 113 · 6211 · 18019645844341231405504948970263292126741_<41> · 59742058032016574893348789341272078222354444214577_<50> (Makoto Kamada / GGNFS-0.71.3 / 0.39 hours)

(68·10⁹⁶-41)/9 =: 7(5)₉₅1_<97>; = 3 · 83 · 31260986495591_<14> · 970653840784469882443529736449068948901881746385103677229597211527405850294852689_<81>

(68·10⁹⁷-41)/9 =: 7(5)₉₆1_<98>; = 7177 · 3599012873842258655229479_<25> · 204753953332727206389586711768391_<33> · 14285905110428929438216099311158130167_<38> (Makoto Kamada / GGNFS-0.71.3)

(68·10⁹⁸-41)/9 =: 7(5)₉₇1_<99>; = 181 · 8737 · 477777278922089491478455792919523405922456888153673970265250000825571033431551694834096406883_<93>

(68·10⁹⁹-41)/9 =: 7(5)₉₈1_<100>; = 3 · 17117 · 111521 · 406440030084682944814606638029489_<33> · 3246118486742398873621622739491698643587706917117927193129_<58> (Makoto Kamada / GGNFS-0.71.3 / 0.56 hours)

(68·10¹⁰⁰-41)/9 =: 7(5)₉₉1_<101>; = 7 · 127 · 17491 · 1667737099599080009749_<22> · 2913549577736256862187159315371145078876665173519339134633140351376639801_<73>

(68·10¹⁰¹-41)/9 =: 7(5)₁₀₀1_<102>; = 1810283 · 5513022249027374432797_<22> · 1566373360124536408460229569210076817_<37> · 48332014456057145194708289053370303153_<38> (Makoto Kamada / Msieve 1.44 for P37 x P38 / Dec 12, 2009)

(68·10¹⁰²-41)/9 =: 7(5)₁₀₁1_<103>; = 3³ · 3917 · 80209 · 890688747546772560684346445013994604358119956715100959707263723441140533545952672601965070321_<93>

(68·10¹⁰³-41)/9 =: 7(5)₁₀₂1_<104>; = 23 · 1709 · 2351 · 47484991 · 17218190773025888538358849711205222865950835370459841572373425898220186863096091117161773_<89>

(68·10¹⁰⁴-41)/9 =: 7(5)₁₀₃1_<105>; = 29 · 251 · 3460469994043_<13> · 1219491298385716085076638074015566815389_<40> · 24596929157866137036858482091193628353907400534847_<50> (Serge Batalov / Msieve 1.44 snfs / 0.27 hours / Dec 13, 2009)

(68·10¹⁰⁵-41)/9 =: 7(5)₁₀₄1_<106>; = 3 · 593 · 19891 · 894072190013208651293443978613_<30> · 238814807518177285306701902214891055326157967452167884477203413512843_<69> (Serge Batalov / GMP-ECM B1=3000000, sigma=4100245333 for P30 / Dec 13, 2009)

(68·10¹⁰⁶-41)/9 =: 7(5)₁₀₅1_<107>; = 7 · 71 · 3710836038039610989614317_<25> · 748179761024556672087257041_<27> · 54756072892784358655794633397908479696525334881857339_<53>

(68·10¹⁰⁷-41)/9 =: 7(5)₁₀₆1_<108>; = 19 · 47 · 30047 · 28158779522963689680327828155283693305853511676632162264768233222805568609013313094127731263407952981_<101>

(68·10¹⁰⁸-41)/9 =: 7(5)₁₀₇1_<109>; = 3 · 1007951436257840014703722478246051500193_<40> · 2498650657088072640392035749835149369157792772913697850301258944896469_<70> (Serge Batalov / Msieve 1.44 snfs / 0.52 hours / Dec 13, 2009)

(68·10¹⁰⁹-41)/9 =: 7(5)₁₀₈1_<110>; = 43 · 7888291390446367_<16> · 83635542418847566051_<20> · 62078806353699128636682486051156193_<35> · 42902318942444694079957405340891864897_<38> (Makoto Kamada / Msieve 1.44 for P35 x P38 / Dec 12, 2009)

(68·10¹¹⁰-41)/9 =: 7(5)₁₀₉1_<111>; = 1213 · 19597 · 214864029750823769_<18> · 538074201103350551_<18> · 274922398154001487670505732777311999088425972984104575527349375062089_<69>

(68·10¹¹¹-41)/9 =: 7(5)₁₁₀1_<112>; = 3² · 490713461048873329138186470584317409_<36> · 1710786924501943345697249840772477005309394792793479896885711790729024795271_<76> (Serge Batalov / Msieve 1.44 snfs / 0.55 hours / Dec 13, 2009)

(68·10¹¹²-41)/9 =: 7(5)₁₁₁1_<113>; = 7 · 59 · 30065495178431_<14> · 1494012040406507502619_<22> · 4072807586731331191478776247206879277248417365824872310398300500522337824143_<76>

(68·10¹¹³-41)/9 =: 7(5)₁₁₂1_<114>; = 1433 · 143537 · 871132907 · 4216692469737629107983864304212709467898727962268706377138750677390744371962351103006040530972533_<97>

(68·10¹¹⁴-41)/9 =: 7(5)₁₁₃1_<115>; = 3 · 829 · 4703 · 15359 · 333997449831259753820683440609596186256762920339_<48> · 125924300771012935160478043723824767531313398139327105091_<57> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 1.12 hours / Dec 14, 2009)

(68·10¹¹⁵-41)/9 =: 7(5)₁₁₄1_<116>; = 61 · 979907 · 1073579722469_<13> · 1177382043831566594626076082853066965700997961707160901769586283153152149926897786293863177698277_<97>

(68·10¹¹⁶-41)/9 =: 7(5)₁₁₅1_<117>; = definitely prime number

(68·10¹¹⁷-41)/9 =: 7(5)₁₁₆1_<118>; = 3 · 392103553 · 53788856333137_<14> · 119413124106289901435247371278253662532049336884826293916996031800320147479083887472712533197797_<96>

(68·10¹¹⁸-41)/9 =: 7(5)₁₁₇1_<119>; = 7² · 491 · 21563 · 1108229 · 34549578298961779_<17> · 34532780382054814199867027222353498860857_<41> · 110147803244464195761021537297140065029831121169_<48> (Jo Yeong Uk / YAFU v1.10, Msieve 1.38 for P41 x P48 / Dec 13, 2009)

(68·10¹¹⁹-41)/9 =: 7(5)₁₁₈1_<120>; = 149 · 179 · 12137278595563236544438241_<26> · 693993837679896534923644341171069837383_<39> · 3363180443604080019397353045243304202704788434190727_<52> (Jo Yeong Uk / YAFU v1.10, Msieve 1.38 for P39 x P52 / Dec 13, 2009)

(68·10¹²⁰-41)/9 =: 7(5)₁₁₉1_<121>; = 3² · 103 · 640763489 · 7522650767954371464658123338883_<31> · 1690900338472253717843974265424623024998093155324732145561110307961542934925899_<79> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=7746665774 for P31 / Dec 13, 2009)

(68·10¹²¹-41)/9 =: 7(5)₁₂₀1_<122>; = 7559 · 5891863 · 440346253 · 88708828997_<11> · 1091333817443_<13> · 39795196497095961834767237405034272705692376661099103086494749735749864588249781_<80>

(68·10¹²²-41)/9 =: 7(5)₁₂₁1_<123>; = 1619 · 70627452659_<11> · 30617535168662284042848497_<26> · 215812097861259882911416194784556617978635022149248561198548381929246769111551940823_<84>

(68·10¹²³-41)/9 =: 7(5)₁₂₂1_<124>; = 3 · 186826685154875338280423393_<27> · 13480507436240815219404868086083445980585584851830179525240827962592948401053747536596113901630869_<98>

(68·10¹²⁴-41)/9 =: 7(5)₁₂₃1_<125>; = 7 · 1783 · 4457 · 134509083086339760880041377384167466787761390470732873_<54> · 10097707207448267830934383611435301631763864956190969829855808911_<65> (Sinkiti Sibata / Msieve 1.40 snfs / 2.65 hours / Dec 13, 2009)

(68·10¹²⁵-41)/9 =: 7(5)₁₂₄1_<126>; = 19 · 23 · 36109 · 76006820388463240697_<20> · 104832014910643936866343141389359887599647_<42> · 6009287840164729715877654115282117404072734705183137859033_<58> (Sinkiti Sibata / Msieve 1.42 for P42 x P58 / 9.91 hours / Dec 14, 2009)

(68·10¹²⁶-41)/9 =: 7(5)₁₂₅1_<127>; = 3 · 508284318280477357_<18> · 2168385789520885323592002973154798753361401333233_<49> · 2285082504146138317270373988148621575643144140324925007627257_<61> (Sinkiti Sibata / Msieve 1.40 snfs / 2.30 hours / Dec 14, 2009)

(68·10¹²⁷-41)/9 =: 7(5)₁₂₆1_<128>; = 317 · 751 · 2753 · 7349 · 18859 · 355361 · 20384502247_<11> · 114827050691740285978471726673080552377791458585089466626642099094693532008369231352828785579733_<96>

(68·10¹²⁸-41)/9 =: 7(5)₁₂₇1_<129>; = 521 · 2021653 · 263102482222446259385197_<24> · 2726447377814563932352199304373787105941125813629482974076228679960251377998044431831526122759191_<97>

(68·10¹²⁹-41)/9 =: 7(5)₁₂₈1_<130>; = 3⁴ · 716763403 · 25087055633_<11> · 3590669022038394581_<19> · 1444709384472573469548944137520246081028994912426490618250674255300141883315914929336512809_<91>

(68·10¹³⁰-41)/9 =: 7(5)₁₂₉1_<131>; = 7 · 43 · 1861 · 3331 · 77905122319_<11> · 7786586003990696175406049299_<28> · 66752233756898048378645076319965910396548660178912682849198638020324036401662685081_<83>

(68·10¹³¹-41)/9 =: 7(5)₁₃₀1_<132>; = 1746581 · 23676437375413375371741998899_<29> · 34364227725649240817067390053_<29> · 53175703139543086944405198143_<29> · 9998652804651218056314025782798260070851_<40> (Serge Batalov / GMP-ECM B1=3000000, sigma=1271878404 for P29(5317...), B1=3000000, sigma=1343956971 for P29(3436...) / Dec 13, 2009)

(68·10¹³²-41)/9 =: 7(5)₁₃₁1_<133>; = 3 · 29 · 21236947 · 6386548725541727_<16> · 782726109051719592811_<21> · 2737841057306658717210311098427_<31> · 298793251879729100538739305699668971422640914787280856661_<57> (Jo Yeong Uk / YAFU v1.10, Msieve 1.38 for P31 x P57 / Dec 13, 2009)

(68·10¹³³-41)/9 =: 7(5)₁₃₂1_<134>; = 2734133 · 108774481 · 391631987 · 990996343417_<12> · 65828579710371249588047984796227037042501776203_<47> · 9943861199397675884477351880290014463455082068241051_<52> (Sinkiti Sibata / Msieve 1.40 snfs / 4.55 hours / Dec 14, 2009)

(68·10¹³⁴-41)/9 =: 7(5)₁₃₃1_<135>; = 57899 · 315041453119_<12> · 41421673244374798744757186748205960336592235570461071885114291579295143567324657195262217759663019157351332467535287971_<119>

(68·10¹³⁵-41)/9 =: 7(5)₁₃₄1_<136>; = 3 · 367859203 · 1708072995693845187847890294158793372992730136343_<49> · 4008271182346875021369471912260587784241104960646929039911381637642429568831473_<79> (Dmitry Domanov / GGNFS/msieve snfs / 4.22 hours / Dec 16, 2009)

(68·10¹³⁶-41)/9 =: 7(5)₁₃₅1_<137>; = 7 · 2716576406767969_<16> · 157123207681893377227_<21> · 181326086978689447388189009200639340728847_<42> · 139458764202539283672117846442259581514338059678176104912213_<60> (Sinkiti Sibata / Msieve 1.42 snfs / 4 hours / Dec 14, 2009)

(68·10¹³⁷-41)/9 =: 7(5)₁₃₆1_<138>; = 83 · 820361 · 462425196327447293_<18> · 23996163670599363984743078357118098124435391409421475940346165399568977283913077986176791460668219595917045374689_<113>

(68·10¹³⁸-41)/9 =: 7(5)₁₃₇1_<139>; = 3² · 103969 · 4437413462063_<13> · 11410900863836166592220488321239541570811_<41> · 159466770155403882014625840449690972139449148893901469976263858019351462850409067_<81> (Dmitry Domanov / GGNFS/msieve snfs / 5.40 hours / Dec 16, 2009)

(68·10¹³⁹-41)/9 =: 7(5)₁₃₈1_<140>; = 599 · 821 · 10853 · 26314862340375890781828977363194955018961042928123_<50> · 537954467230265270119267925540183493428275358501670203932591652282443058644303651_<81> (Dmitry Domanov / GGNFS/msieve snfs / 6.06 hours / Dec 16, 2009)

(68·10¹⁴⁰-41)/9 =: 7(5)₁₃₉1_<141>; = definitely prime number

(68·10¹⁴¹-41)/9 =: 7(5)₁₄₀1_<142>; = 3 · 71 · 15271557901_<11> · 431139112262730100165317511667_<30> · 5387484498571267651253580682310216651042799350863707410273173151037693436635242107510496812056848981_<100> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2373207899 for P30 / Nov 24, 2009)

(68·10¹⁴²-41)/9 =: 7(5)₁₄₁1_<143>; = 7 · 127 · 9059 · 10232346499_<11> · 3224661917131_<13> · 39391518270048773_<17> · 7218089047378022975998126224433223522174080997953011484260562993419778666845058494942486666564473_<97>

(68·10¹⁴³-41)/9 =: 7(5)₁₄₂1_<144>; = 19 · 359 · 42589741 · 105369171348142481827_<21> · 24683104965297827558392215498053583546305216674502122362645669008968113711333240359756195951805342493494001872533_<113>

(68·10¹⁴⁴-41)/9 =: 7(5)₁₄₃1_<145>; = 3 · 433 · 2182819 · 123348484942824364443388367321_<30> · 24892467603668557753000090400586736677794572369_<47> · 867836189664191492656674254659120524677089561991211694320479_<60> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2347728557 for P30 / Nov 24, 2009) (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 6.29 hours, 6.29 hours on Core 2 Quad Q6700 / Dec 14, 2009)

(68·10¹⁴⁵-41)/9 =: 7(5)₁₄₄1_<146>; = 811 · 4057 · 12858849151_<11> · 1255612128577662110396954971095716478536029_<43> · 1422272908489788307449303177089974136622832027358183808413023957457841927697351017801047_<88> (Sinkiti Sibata / Msieve 1.42 snfs / 8 hours / Dec 14, 2009)

(68·10¹⁴⁶-41)/9 =: 7(5)₁₄₅1_<147>; = 13099 · 51047 · 34085993869_<11> · 257027694399899_<15> · 91745407526091275078581201574964401_<35> · 31940625612168213799541729966676659153_<38> · 44012334266984213041400029357929142350469_<41> (Sinkiti Sibata / Msieve 1.42 snfs / 8 hours 43 min / Dec 14, 2009)

(68·10¹⁴⁷-41)/9 =: 7(5)₁₄₆1_<148>; = 3² · 23 · 199 · 443 · 2003 · 94993 · 1433909 · 1517557347611044737554777876585098106021872461587093965744009911636481201539470930670731139679510355941661501518086266912691259_<127>

(68·10¹⁴⁸-41)/9 =: 7(5)₁₄₇1_<149>; = 7 · 960499 · 25761403841_<11> · 180258765687439_<15> · 167420142728256349478014981_<27> · 76180334184904123317889342999934709966538801_<44> · 189738274266043670657541526420182749846309412553_<48> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=7439269695 for P44 / Dec 13, 2009)

(68·10¹⁴⁹-41)/9 =: 7(5)₁₄₈1_<150>; = 97812977672561_<14> · 21519667365367654842470583146011_<32> · 358950340046869773901826232727800735939422222200866796152564338086970669249438689493918216794682673538781_<105> (Serge Batalov / GMP-ECM B1=3000000, sigma=2986990002 for P32 / Dec 13, 2009)

(68·10¹⁵⁰-41)/9 =: 7(5)₁₄₉1_<151>; = 3 · 6647617474887491_<16> · 290968055391811988352333309086899_<33> · 1302068451179379015294308562020228865903054833838314186669046556244998866453283483403910512432889394813_<103> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1994638235 for P33 / Nov 25, 2009)

(68·10¹⁵¹-41)/9 =: 7(5)₁₅₀1_<152>; = 43 · 229 · 2999 · 3371 · 688142418957936710705297_<24> · 1800451511689245767314330676089963_<34> · 215669343984462193160840678875020861123073_<42> · 2840397163010223335259614351210661990799159_<43> (Serge Batalov / GMP-ECM B1=2000000, sigma=1874315294 for P34 / Jan 4, 2010)

(68·10¹⁵²-41)/9 =: 7(5)₁₅₁1_<153>; = 16265246119665877213097123323621966604962907_<44> · 46452144037466078956508748338336320602320826318297272551484549901155394088684665086396413848049034018284223693_<110> (Dmitry Domanov / GGNFS/msieve snfs / 25.71 hours / Jan 4, 2010)

(68·10¹⁵³-41)/9 =: 7(5)₁₅₂1_<154>; = 3 · 47 · 5065529862304063_<16> · 496697999955352995073381_<24> · 21297567307101349566889688081902000908024877601049028811715234860950153145552807450317399504554975824387266918337_<113>

(68·10¹⁵⁴-41)/9 =: 7(5)₁₅₃1_<155>; = 7 · 103 · 251 · 607834649 · 7113194585266612260469948794515575092037305728888252909474307935569_<67> · 96562227357197046127888613298491383590574150483192128499408203794328927701_<74> (Sinkiti Sibata / Msieve 1.42 snfs / 25 hours / Jan 5, 2010)

(68·10¹⁵⁵-41)/9 =: 7(5)₁₅₄1_<156>; = 28495152348060838721385624667366881623485193_<44> · 26515231304140504635485781751519376731948832334575816583191434338012797846914694311904498999626897777245289674407_<113> (Dmitry Domanov / Msieve 1.40 snfs / 19.06 hours / Jan 4, 2010)

(68·10¹⁵⁶-41)/9 =: 7(5)₁₅₅1_<157>; = 3³ · 7666930760339397981689825984631570788757083231015776786863281650485401_<70> · 36499011102862022835221587958605075358227478712315354953586197866770081205231441787413_<86> (Dmitry Domanov / GGNFS/msieve snfs / 26.68 hours / Jan 4, 2010)

(68·10¹⁵⁷-41)/9 =: 7(5)₁₅₆1_<158>; = 10966633 · 279239767 · 1735287016829_<13> · 23633183399467035136151932169_<29> · 601620025379643768136740133674304647626977857285573825498905965872295625554916171114063967667210828541_<102>

(68·10¹⁵⁸-41)/9 =: 7(5)₁₅₇1_<159>; = 1279457 · 16906171 · 75420892398406062028282689944878365137429_<41> · 463130928145596369150726315727974188058350660511658696435810268328147071112654686473251986145426845141977_<105> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 18.12 hours on Core 2 Quad Q6700 / Jan 7, 2010)

(68·10¹⁵⁹-41)/9 =: 7(5)₁₅₈1_<160>; = 3 · 1229 · 227717925120238319927_<21> · 1444430190127103250045683_<25> · 13339213545569659614416611348933_<32> · 11364592162486662783320113270586759_<35> · 41097500597365241273973820769849749485888722999_<47> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3889350453 for P32 / Dec 29, 2009) (10metreh / Msieve 1.43 for P35 x P47 / 0.57 hours / Jan 4, 2010)

(68·10¹⁶⁰-41)/9 =: 7(5)₁₅₉1_<161>; = 7² · 29 · 422459 · 46194826255690128866392117_<26> · 2724547730886087385955305655404985234393453845681921113472226024991233192857083837154004677376147136270879992976474042312610877_<127>

(68·10¹⁶¹-41)/9 =: 7(5)₁₆₀1_<162>; = 19 · 307 · 11953 · 1141529713_<10> · 9493148773816244539368411377232759049984537391211132317001345459801708837835782788952888057349523307230795920620374150372766390392875677066028423_<145>

(68·10¹⁶²-41)/9 =: 7(5)₁₆₁1_<163>; = 3 · 109 · 246410179 · 39521270440511_<14> · 35708957969067928411845633029253083221208537507_<47> · 66443412945109896897317311154095891354449262574060500160579777073199595589676189339444546111_<92> (Sinkiti Sibata / Msieve 1.40 snfs / 41.39 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Jan 7, 2010)

(68·10¹⁶³-41)/9 =: 7(5)₁₆₂1_<164>; = 6043 · 2327732707_<10> · 6363338216264301204033253_<25> · 292985704912233835150384639_<27> · 618162834186865969389336374155487198277265679_<45> · 4660648728983566373964395375209529291596595400646068307_<55> (Jeff Gilchrist / factmsieve.py + ggnfs + msieve 1.43 gnfs for P45 x P55 / 1.42 hours on Core2 Quad @ 3.4Ghz Windows 7 64bit / Jan 5, 2010)

(68·10¹⁶⁴-41)/9 =: 7(5)₁₆₃1_<165>; = 884415887 · 10480313600707818519673730831694171012181_<41> · 79484851267639022744141520721812582516323879611_<47> · 1025536740507414856643349087642408363723183743909269787774321601955703_<70> (Dmitry Domanov / GGNFS/msieve snfs / 47.12 hours / Jan 5, 2010)

(68·10¹⁶⁵-41)/9 =: 7(5)₁₆₄1_<166>; = 3² · 601 · 169069 · 284824363 · 565877815893469_<15> · 1315468648267952703916159368746126101068928360158252656417561_<61> · 38967732254767490957428392133660281893785076401193544827887631952555046093_<74> (Sinkiti Sibata / Msieve 1.42 snfs / 41 hours / Jan 7, 2010)

(68·10¹⁶⁶-41)/9 =: 7(5)₁₆₅1_<167>; = 7 · 347 · 26251 · 1638649613_<10> · 723114277838476251544687066545731712629398305345240492105648307271370019324673390209081200362886515421549257088419489276033965660673419732191326159813_<150>

(68·10¹⁶⁷-41)/9 =: 7(5)₁₆₆1_<168>; = 97444394186808858095826969551_<29> · 7753709814307982449336949846780269362303224605662537443510883867112046199281772906850279731511642337447144693056485266996098428820587286001_<139> (Dmitry Domanov / GGNFS/msieve snfs / 60.06 hours / Jan 4, 2010)

(68·10¹⁶⁸-41)/9 =: 7(5)₁₆₇1_<169>; = 3 · 97 · 1033 · 315792707 · 79592289347964732697099615738727532156825793060799914627944441302523452343131138889857525458115214015679831635521080769882670315111103100600915788637271631_<155>

(68·10¹⁶⁹-41)/9 =: 7(5)₁₆₈1_<170>; = 23 · 827 · 491615615311763_<15> · 106594605576680303_<18> · 3145370185061797600882158937_<28> · 24099076256215039098151447590060481951165814470946508493150345289475059282710415994628280011608921656773967_<107>

(68·10¹⁷⁰-41)/9 =: 7(5)₁₆₉1_<171>; = 59 · 6672360125928173_<16> · 1919264866352966734976238899693841295822324409189152480565631546647445218700372720390032659874346798661354242586968726700072881560271856631370341533612993_<154>

(68·10¹⁷¹-41)/9 =: 7(5)₁₇₀1_<172>; = 3 · 1493 · 1686884473220708987621244821512738458485276971546228076703629282329885143013073354667460494654064647366723723053260896529483267594453126938056609858351318498672818833569_<169>

(68·10¹⁷²-41)/9 =: 7(5)₁₇₁1_<173>; = 7 · 43 · 227 · 709 · 22385551 · 63657791 · 86166160028941498815572270435461397102783267269_<47> · 12701988742566043245934458591581557336288557290252395775023100775604650730019021919383339027298687500033_<104> (Robert Backstrom / Msieve 1.42 snfs / Jun 7, 2010)

(68·10¹⁷³-41)/9 =: 7(5)₁₇₂1_<174>; = 467 · 25163 · 3163512629_<10> · 379656854829201289129490708503_<30> · 53533579952648778285999180887147331668970469627296322821243247794699575992158504147519594144831848724925412628619661442713589413_<128> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3042017407 for P30 / Dec 30, 2009)

(68·10¹⁷⁴-41)/9 =: 7(5)₁₇₃1_<175>; = 3² · 127747 · 1778977 · 583578533453_<12> · 96497243217071_<14> · 65597703570427623463411285116161695473546092744288637982675574097244725062818545697476282855090651746856065794824440613757578425134787887_<137>

(68·10¹⁷⁵-41)/9 =: 7(5)₁₇₄1_<176>; = 61 · 2473 · 3807577691_<10> · 50899654451_<11> · 923329787888766511947673769_<27> · 763667022218543471484036717829944264561787_<42> · 3665117995205231748601287609570878931901848707918948654552653128406178177817736129_<82> (Jeff Gilchrist / factmsieve.py + ggnfs + msieve 1.43 gnfs for P42 x P82 / 20.83 hours on Core2 @ 3.4GHz Windows 7 64bit / Jan 10, 2010)

(68·10¹⁷⁶-41)/9 =: 7(5)₁₇₅1_<177>; = 71 · 10641627543035993740219092331768388106416275430359937402190923317683881064162754303599374021909233176838810641627543035993740219092331768388106416275430359937402190923317683881_<176>

(68·10¹⁷⁷-41)/9 =: 7(5)₁₇₆1_<178>; = 3 · 86453 · 16740846255647_<14> · 58088598131017_<14> · 52728457447026839377177262801_<29> · 568135216406154625180455124915888918107696315923502724380307012018629351251487958860269812882854924795138555788350711_<117>

(68·10¹⁷⁸-41)/9 =: 7(5)₁₇₇1_<179>; = 7 · 83 · 653 · 34063526559732195042820114439118871191568007739571004167490201221775263687087532501_<83> · 5846385945069918227572402288717310273239227030323641177550660869530076113455974989777371107_<91> (Dmitry Domanov / GGNFS/msieve snfs / 120.19 hours / Feb 19, 2010)

(68·10¹⁷⁹-41)/9 =: 7(5)₁₇₈1_<180>; = 19 · 1553 · 953191 · 16398769 · 47911369472307603613620603311_<29> · 34190982488232869149275092619347267780243139606564772748723761413444615658625545195965890053831436793363006953566779130081616267257597_<134>

(68·10¹⁸⁰-41)/9 =: 7(5)₁₇₉1_<181>; = 3 · 521 · 13443723703757_<14> · 51718196844949_<14> · 2030473689908197420496542721_<28> · 20172163857778181982114810427939_<32> · 6699463235042212417244350819793761601363071423_<46> · 25336966099474575804792334031651111897617360097_<47> (Serge Batalov / GMP-ECM B1=2000000, sigma=868793981 for P32 / Jan 4, 2010) (Robert Backstrom / Msieve 1.43 for P46 x P47 / 2.11 hours / Jan 5, 2010)

(68·10¹⁸¹-41)/9 =: 7(5)₁₈₀1_<182>; = 3407 · 5023267 · 85982971759_<11> · 7462488963121_<13> · 58280708312807_<14> · 550699027090444322969206999257767226881_<39> · 214374302059854648981051583789374238242046146885862855032143297095627235780084159588865432684883_<96> (juno1369 / GMP-ECM 6.2.3 B1=1000000, sigma=3271416727 for P39 / May 23, 2010)

(68·10¹⁸²-41)/9 =: 7(5)₁₈₁1_<183>; = 3793 · 993471618017_<12> · 200506333783921903788156572378130951152792135126858341299137502557467863324046394350271034475795835408240055413993368461003714317215523734745088826460247828878226851471_<168>

(68·10¹⁸³-41)/9 =: 7(5)₁₈₂1_<184>; = 3³ · 55942058094497_<14> · [5002236250833062641674655655848511247758981091358639113522031503310275904487775228674177399095298137420334736130480208403846518475070041640168068568930653884962263627629_<169>] SUBMIT/RESERVE

(68·10¹⁸⁴-41)/9 =: 7(5)₁₈₃1_<185>; = 7 · 127 · 67559 · 901965149 · 974791633 · 7956185265018629_<16> · 755332621987954014929618783_<27> · 238087585367925843256882580118537399788008524593430372177882837804893569686771592878549175839614100029926674759863279_<117>

(68·10¹⁸⁵-41)/9 =: 7(5)₁₈₄1_<186>; = 1489 · 123113019740517337_<18> · [4121617844423305899316893599706206520280663068444870512395959553503960318118238810496647787380972770255156522961522294931390511401348822680446642725972156699966264007_<166>] SUBMIT/RESERVE

(68·10¹⁸⁶-41)/9 =: 7(5)₁₈₅1_<187>; = 3 · 3253 · 7434114344847917312218383421043_<31> · 104143423120948607844160412397727338454545612063409097508764376330006437260616966016526170939927969804303327590296481711290541617832462179393664848153723_<153> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1950677326 for P31 / Dec 30, 2009)

(68·10¹⁸⁷-41)/9 =: 7(5)₁₈₆1_<188>; = 2347 · 2074939404533_<13> · 425310084377333129551477695779_<30> · 36478940414815855304628011244951797354108512646831641271244933922796901577553366810199446968445474335813502276288585232396242021733042980549219_<143> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3763053516 for P30 / Dec 30, 2009)

(68·10¹⁸⁸-41)/9 =: 7(5)₁₈₇1_<189>; = 29 · 103 · 193 · 16750615388259579367_<20> · [78242569580786184200524795833300955701120035835644560801774071470393311116063938468146166638679696112037537030010483673620832333548401649063042245826836069397814683_<164>] SUBMIT/RESERVE

(68·10¹⁸⁹-41)/9 =: 7(5)₁₈₈1_<190>; = 3 · 154251272578603_<15> · [16327375952345143775305537154308904528345953812970596472438116995083234780795672301786919058195525225162571344395651083753536985454944955807761522078600937302311389643446451039_<176>] SUBMIT/RESERVE

(68·10¹⁹⁰-41)/9 =: 7(5)₁₈₉1_<191>; = 7 · 29243677 · 2198786545914531907_<19> · [167862355861462345907248320266710808890656755358726439555618101730858924060769933342329421455993526527826745476544670880492475364849567878197670356947224501799250687_<165>] SUBMIT/RESERVE

(68·10¹⁹¹-41)/9 =: 7(5)₁₉₀1_<192>; = 23 · 2963 · 370541504935364512282877622144595239003827_<42> · 52367013271029342530173146801529398587270217068986714996259_<59> · 571363179900083529120043343340575532047422978445846563128565517461476949723940216358043_<87> (Robert Backstrom / Msieve 1.42 snfs / Feb 8, 2010)

(68·10¹⁹²-41)/9 =: 7(5)₁₉₁1_<193>; = 3² · 223 · 14750867 · 255212230706577223528929654496063312141878346108745507904313276584722354954678689764216301435150991658167664678893209986286908609047287688031399608018411173328725481612170695694062979_<183>

(68·10¹⁹³-41)/9 =: 7(5)₁₉₂1_<194>; = 43 · 39067677788849_<14> · [44975950519740940543115371293950621249344007200176565824548426250885212437071849308830567287670272293613851895032041421624570059540153264148887534090427837914512942997254137621293_<179>] SUBMIT/RESERVE

(68·10¹⁹⁴-41)/9 =: 7(5)₁₉₃1_<195>; = 36045809 · 973106366424597128041398527_<27> · [21540278408196173044623910702599777402534714383154083222338275653026649027107471388801136097984380276830559376055551796154443465531393197314895816571838241675057_<161>] SUBMIT/RESERVE

(68·10¹⁹⁵-41)/9 =: 7(5)₁₉₄1_<196>; = 3 · 310771 · 996529 · 143808043646162700899663813_<27> · [56549861218415413849803272286632660632047794534177790726928884296712668895312294545058556647154876145811757894176557264650815509181043540461244723236227907451_<158>] SUBMIT/RESERVE

(68·10¹⁹⁶-41)/9 =: 7(5)₁₉₅1_<197>; = 7 · 99848990002880094970479641_<26> · [108099749364910512428194439026584979153816579316257294324318917829030461119049939238630289101693105122175053045129129551356792864451517807234831509681469340434816845157073_<171>] SUBMIT/RESERVE

(68·10¹⁹⁷-41)/9 =: 7(5)₁₉₆1_<198>; = 19 · 10141 · 2555911 · 467058429508217_<15> · [3284846484489983707862678275376372831195253117932741906472483361372882821975371347137802174958478363147501481795315594846709195954649327842245827783439028830320030045582887_<172>] SUBMIT/RESERVE

(68·10¹⁹⁸-41)/9 =: 7(5)₁₉₇1_<199>; = 3 · 7314786710899_<13> · 609852415564537481708531921_<27> · 529596425370396988441033685141_<30> · 1439913428380119698405760397015117601529768771936500891_<55> · 740350384070782401163360517822531891176046172996896853326997547047224325233_<75> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1286284102 for P30 / May 12, 2011) (Warut Roonguthai / Msieve 1.47 gnfs for P55 x P75 / Jun 22, 2011)

(68·10¹⁹⁹-41)/9 =: 7(5)₁₉₈1_<200>; = 47 · 569 · 161639 · 123701005416165257581340667266358068329_<39> · 2273441451127978162803256967762919469139668345553779_<52> · 62151715485212339004606919833843266999192163360610653176886599646723716130348290256362250998263112893_<101> (matsui / Msieve 1.50 snfs / Jul 31, 2011)

(68·10²⁰⁰-41)/9 =: 7(5)₁₉₉1_<201>; = 311 · 1443758021_<10> · 247432223928151_<15> · 434880777094130793135497_<24> · 14265453138681684540627015030461482219_<38> · 2283472602259297734538843789464486544825892309_<46> · 480069105157044439563056089557353508588030044729628804642352387419133_<69> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=474305043 for P38, Msieve 1.48 gnfs for P46 x P69 / May 12, 2011)

4. References

A103060 - OEIS (The OEIS Foundation Inc.)