Factorizations of 644...447

Table of contents

1. About 644...447
   • First ten terms
   • General term
2. Prime numbers of the form 644...447
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 644...447
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 644...447

First ten terms

67, 647, 6447, 64447, 644447, 6444447, 64444447, 644444447, 6444444447, 64444444447

General term

(58·10ⁿ+23)/9

2. Prime numbers of the form 644...447

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

24.69%

Results

1. (58·10¹+23)/9 = 67 is prime.
2. (58·10²+23)/9 = 647 is prime.
3. (58·10⁵+23)/9 = 644447 is prime.
4. (58·10¹⁰+23)/9 = 64444444447_<11> is prime.
5. (58·10⁴⁰+23)/9 = 6(4)₃₉7_<41> is prime.
6. (58·10⁴⁷+23)/9 = 6(4)₄₆7_<48> is prime.
7. (58·10⁵⁸+23)/9 = 6(4)₅₇7_<59> is prime.
8. (58·10⁷³+23)/9 = 6(4)₇₂7_<74> is prime.
9. (58·10⁹²+23)/9 = 6(4)₉₁7_<93> is prime.
10. (58·10¹¹³+23)/9 = 6(4)₁₁₂7_<114> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
11. (58·10¹²⁴+23)/9 = 6(4)₁₂₃7_<125> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
12. (58·10¹³⁰+23)/9 = 6(4)₁₂₉7_<131> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
13. (58·10⁸⁸⁷+23)/9 = 6(4)₈₈₆7_<888> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
14. (58·10¹²³⁴+23)/9 = 6(4)₁₂₃₃7_<1235> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 12, 2006)
15. (58·10¹⁵³⁸+23)/9 = 6(4)₁₅₃₇7_<1539> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 26, 2006)
16. (58·10²⁰⁶³+23)/9 = 6(4)₂₀₆₂7_<2064> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
17. (58·10²⁵⁹¹+23)/9 = 6(4)₂₅₉₀7_<2592> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
18. (58·10²⁷⁸⁶+23)/9 = 6(4)₂₇₈₅7_<2787> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
19. (58·10³¹⁴⁵+23)/9 = 6(4)₃₁₄₄7_<3146> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)

3. Factorizations of 644...447

Last update

Nov 4, 2009

Completed up to

• n≤100 / Jan 5, 2005
• n≤150 / Jul 15, 2009

Range

n≤205

Terms which have not been factored yet

n=173, 174, 177, 178, 180, 181, 182, 183, 184, 188, 189, 190, 192, 193, 195, 196, 199, 202, 203, 204, 205 (21/205)

Results

(58·10¹+23)/9 =

67

= definitely prime number

(58·10²+23)/9 =

647

= definitely prime number

(58·10³+23)/9 =

6447

= 3 · 7 · 307

(58·10⁴+23)/9 =

64447

= 17² · 223

(58·10⁵+23)/9 =

644447

= definitely prime number

(58·10⁶+23)/9 =

6444447

= 3 · 2148149

(58·10⁷+23)/9 =

64444447

= 19 · 3391813

(58·10⁸+23)/9 =

644444447

= 13591 · 47417

(58·10⁹+23)/9 =

6444444447_<10>

= 3² · 7 · 83 · 163 · 7561

(58·10¹⁰+23)/9 =

64444444447_<11>

= definitely prime number

(58·10¹¹+23)/9 =

644444444447_<12>

= 179 · 389 · 9255137

(58·10¹²+23)/9 =

6444444444447_<13>

= 3 · 42509 · 50533961

(58·10¹³+23)/9 =

64444444444447_<14>

= 2251 · 28629251197_<11>

(58·10¹⁴+23)/9 =

644444444444447_<15>

= 11437 · 56347332731_<11>

(58·10¹⁵+23)/9 =

6444444444444447_<16>

= 3 · 7 · 439 · 1201 · 1931 · 301423

(58·10¹⁶+23)/9 =

64444444444444447_<17>

= 167 · 385894876912841_<15>

(58·10¹⁷+23)/9 =

644444444444444447_<18>

= 881 · 14713 · 49717392199_<11>

(58·10¹⁸+23)/9 =

6444444444444444447_<19>

= 3⁵ · 3019 · 8784480790991_<13>

(58·10¹⁹+23)/9 =

64444444444444444447_<20>

= 1687015357_<10> · 38200271371_<11>

(58·10²⁰+23)/9 =

644444444444444444447_<21>

= 17 · 113 · 709 · 947 · 499645413409_<12>

(58·10²¹+23)/9 =

6444444444444444444447_<22>

= 3 · 7 · 306878306878306878307_<21>

(58·10²²+23)/9 =

64444444444444444444447_<23>

= 41761 · 1543172923168612927_<19>

(58·10²³+23)/9 =

644444444444444444444447_<24>

= 569 · 24061 · 729217 · 64550968099_<11>

(58·10²⁴+23)/9 =

6444444444444444444444447_<25>

= 3 · 71 · 25439 · 1189339507071679421_<19>

(58·10²⁵+23)/9 =

64444444444444444444444447_<26>

= 19 · 691 · 40385363 · 121542970132061_<15>

(58·10²⁶+23)/9 =

644444444444444444444444447_<27>

= 107 · 8805253 · 684005930912118457_<18>

(58·10²⁷+23)/9 =

6444444444444444444444444447_<28>

= 3² · 7² · 59 · 137142967573_<12> · 1806014946881_<13>

(58·10²⁸+23)/9 =

64444444444444444444444444447_<29>

= 5101 · 193286397097_<12> · 65362532352451_<14>

(58·10²⁹+23)/9 =

644444444444444444444444444447_<30>

= 11287 · 57096167665849600819034681_<26>

(58·10³⁰+23)/9 =

6444444444444444444444444444447_<31>

= 3 · 150061 · 14315166153418597424701609_<26>

(58·10³¹+23)/9 =

64444444444444444444444444444447_<32>

= 89 · 53897 · 266381 · 10796893 · 4671204093623_<13>

(58·10³²+23)/9 =

644444444444444444444444444444447_<33>

= 8929 · 117929646076651_<15> · 612011617196093_<15>

(58·10³³+23)/9 =

6444444444444444444444444444444447_<34>

= 3 · 7 · 151 · 1528010587_<10> · 1330034415571923960911_<22>

(58·10³⁴+23)/9 =

64444444444444444444444444444444447_<35>

= 67 · 2235427 · 430279038308040266589586183_<27>

(58·10³⁵+23)/9 =

644444444444444444444444444444444447_<36>

= 47² · 1786217 · 163326084220258266215162599_<27>

(58·10³⁶+23)/9 =

6444444444444444444444444444444444447_<37>

= 3² · 17 · 1489 · 17431 · 91969 · 17645565795563906586769_<23>

(58·10³⁷+23)/9 =

64444444444444444444444444444444444447_<38>

= 659 · 6829 · 18911 · 103811 · 1726400503_<10> · 4225163639579_<13>

(58·10³⁸+23)/9 =

644444444444444444444444444444444444447_<39>

= 191 · 15662201531_<11> · 215426590972985642871047507_<27>

(58·10³⁹+23)/9 =

6444444444444444444444444444444444444447_<40>

= 3 · 7 · 313 · 101279 · 407137 · 17233261 · 1379730959776950713_<19>

(58·10⁴⁰+23)/9 =

64444444444444444444444444444444444444447_<41>

= definitely prime number

(58·10⁴¹+23)/9 =

644444444444444444444444444444444444444447_<42>

= 5660279 · 44028197 · 2585929881523625928209588069_<28>

(58·10⁴²+23)/9 =

6444444444444444444444444444444444444444447_<43>

= 3 · 330643 · 344681 · 22706675964451_<14> · 830106835356833653_<18>

(58·10⁴³+23)/9 =

64444444444444444444444444444444444444444447_<44>

= 19 · 1172497 · 2892811551327701498077873858523370229_<37>

(58·10⁴⁴+23)/9 =

644444444444444444444444444444444444444444447_<45>

= 1019 · 1287934601_<10> · 491040698904780295481955431515013_<33>

(58·10⁴⁵+23)/9 =

6444444444444444444444444444444444444444444447_<46>

= 3³ · 7 · 1990824348916919_<16> · 17127372222313605986726000717_<29>

(58·10⁴⁶+23)/9 =

64444444444444444444444444444444444444444444447_<47>

= 1109 · 294563 · 13203979 · 29196726683269_<14> · 511725141057264391_<18>

(58·10⁴⁷+23)/9 =

644444444444444444444444444444444444444444444447_<48>

= definitely prime number

(58·10⁴⁸+23)/9 =

6444444444444444444444444444444444444444444444447_<49>

= 3 · 1913 · 900302271521_<12> · 10153576059323_<14> · 122840588127429742631_<21>

(58·10⁴⁹+23)/9 =

64444444444444444444444444444444444444444444444447_<50>

= 9133 · 393487 · 20033796233190648913_<20> · 895114073795675173189_<21>

(58·10⁵⁰+23)/9 =

644444444444444444444444444444444444444444444444447_<51>

= 83 · 1117 · 1720217 · 4040833754902042666051785389789113733681_<40>

(58·10⁵¹+23)/9 =

6444444444444444444444444444444444444444444444444447_<52>

= 3 · 7 · 17439448243815774149_<20> · 17596789909172120818546910075143_<32>

(58·10⁵²+23)/9 =

64444444444444444444444444444444444444444444444444447_<53>

= 17 · 1180956678143767879_<19> · 3209981994564852340924049519840729_<34>

(58·10⁵³+23)/9 =

644444444444444444444444444444444444444444444444444447_<54>

= 63672997 · 10121157709043355450104609406785806618219092851_<47>

(58·10⁵⁴+23)/9 =

6444444444444444444444444444444444444444444444444444447_<55>

= 3² · 373 · 6229 · 61859071 · 162730303 · 147463261523_<12> · 207615680048563156901_<21>

(58·10⁵⁵+23)/9 =

64444444444444444444444444444444444444444444444444444447_<56>

= 17443 · 14840509747499412276589_<23> · 248951922735640610964726794761_<30>

(58·10⁵⁶+23)/9 =

644444444444444444444444444444444444444444444444444444447_<57>

= 109 · 2729 · 28618260450947_<14> · 75702848068494567012378656352722808641_<38>

(58·10⁵⁷+23)/9 =

6444444444444444444444444444444444444444444444444444444447_<58>

= 3 · 7 · 61 · 317 · 3449 · 270866869740588581_<18> · 16987442860028255673835255671719_<32>

(58·10⁵⁸+23)/9 =

64444444444444444444444444444444444444444444444444444444447_<59>

= definitely prime number

(58·10⁵⁹+23)/9 =

644444444444444444444444444444444444444444444444444444444447_<60>

= 71 · 7219 · 1304611387_<10> · 963760069714422318466129093823667494331302569_<45>

(58·10⁶⁰+23)/9 =

6444444444444444444444444444444444444444444444444444444444447_<61>

= 3 · 1723755441117571726779991_<25> · 1246202388637814882116244943747363539_<37>

(58·10⁶¹+23)/9 =

64444444444444444444444444444444444444444444444444444444444447_<62>

= 19 · 11441291 · 3019062829_<10> · 39599582312182159_<17> · 2479671184641642083164799813_<28>

(58·10⁶²+23)/9 =

644444444444444444444444444444444444444444444444444444444444447_<63>

= 6695198813_<10> · 31907755684909159903_<20> · 3016655717844920172476760136718773_<34>

(58·10⁶³+23)/9 =

6444444444444444444444444444444444444444444444444444444444444447_<64>

= 3² · 7 · 699988923732253876616841556319_<30> · 146134839411491406463939981319551_<33>

(58·10⁶⁴+23)/9 =

64444444444444444444444444444444444444444444444444444444444444447_<65>

= 536441 · 15030902705130508825193_<23> · 7992422929247286578172404271400733119_<37>

(58·10⁶⁵+23)/9 =

644444444444444444444444444444444444444444444444444444444444444447_<66>

= 953 · 94709 · 833710204681_<12> · 8564188449233521385725022137887132331244212931_<46>

(58·10⁶⁶+23)/9 =

6444444444444444444444444444444444444444444444444444444444444444447_<67>

= 3 · 1039 · 17351 · 602521084467088331674121_<24> · 197766133578362325741746130870127621_<36>

(58·10⁶⁷+23)/9 =

64444444444444444444444444444444444444444444444444444444444444444447_<68>

= 67 · 997 · 126397 · 431887 · 311075292077900177_<18> · 56812396262900129073014414243551451_<35>

(58·10⁶⁸+23)/9 =

644444444444444444444444444444444444444444444444444444444444444444447_<69>

= 17 · 227 · 1211904791735153_<16> · 137797774296582631980727682108891433849061718314261_<51>

(58·10⁶⁹+23)/9 =

6444444444444444444444444444444444444444444444444444444444444444444447_<70>

= 3 · 7² · 12853 · 512709441649206427541_<21> · 6652614019733547090339008718138312302341837_<43>

(58·10⁷⁰+23)/9 =

64444444444444444444444444444444444444444444444444444444444444444444447_<71>

= 80449183 · 801057786310203354637478971594334829285269987694523192913524609_<63>

(58·10⁷¹+23)/9 =

644444444444444444444444444444444444444444444444444444444444444444444447_<72>

= 283 · 853 · 3389557 · 787602481633509134852922905053973237950294867519675341991829_<60>

(58·10⁷²+23)/9 =

6444444444444444444444444444444444444444444444444444444444444444444444447_<73>

= 3³ · 1877741 · 321168969293_<12> · 395778732128062920094222613426112458748818160790490597_<54>

(58·10⁷³+23)/9 =

64444444444444444444444444444444444444444444444444444444444444444444444447_<74>

= definitely prime number

(58·10⁷⁴+23)/9 =

644444444444444444444444444444444444444444444444444444444444444444444444447_<75>

= 1567 · 7762237426243_<13> · 301533859530907_<15> · 1705061285093351_<16> · 103051302440371135810140252391_<30>

(58·10⁷⁵+23)/9 =

6444444444444444444444444444444444444444444444444444444444444444444444444447_<76>

= 3 · 7 · 89 · 839 · 16493 · 765767 · 1110041 · 4478544402907_<13> · 65454877078804352702320615088677508900861_<41>

(58·10⁷⁶+23)/9 =

64444444444444444444444444444444444444444444444444444444444444444444444444447_<77>

= 18143 · 20597041 · 6662499647_<10> · 17264008072673_<14> · 1499314429260766890745436569450081592662799_<43>

(58·10⁷⁷+23)/9 =

644444444444444444444444444444444444444444444444444444444444444444444444444447_<78>

= 1787 · 706640749 · 965035727989_<12> · 528833381865291505267712252929796038351657053977912221_<54>

(58·10⁷⁸+23)/9 =

6444444444444444444444444444444444444444444444444444444444444444444444444444447_<79>

= 3 · 2148148148148148148148148148148148148148148148148148148148148148148148148148149_<79>

(58·10⁷⁹+23)/9 =

64444444444444444444444444444444444444444444444444444444444444444444444444444447_<80>

= 19 · 107 · 15168983833_<11> · 2089736926865849721728590061267006503849209604576873445894821054823_<67>

(58·10⁸⁰+23)/9 =

644444444444444444444444444444444444444444444444444444444444444444444444444444447_<81>

= 1013 · 330661 · 68725043 · 791930614157_<12> · 14819877548341_<14> · 2385318060053866781115384961143542257069_<40>

(58·10⁸¹+23)/9 =

6444444444444444444444444444444444444444444444444444444444444444444444444444444447_<82>

= 3² · 7 · 47 · 40408327 · 53861222533512696319700244467273390448044295508503664699569708796120601_<71>

(58·10⁸²+23)/9 =

64444444444444444444444444444444444444444444444444444444444444444444444444444444447_<83>

= 181 · 3643 · 5172262369023571_<16> · 18895882997841577989073795161873302519446357938428969782914979_<62>

(58·10⁸³+23)/9 =

644444444444444444444444444444444444444444444444444444444444444444444444444444444447_<84>

= 769 · 4243 · 27200462371847_<14> · 7261223859601928016891175613380105649012064299833090275553531603_<64>

(58·10⁸⁴+23)/9 =

6444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<85>

= 3 · 17 · 1223 · 8179 · 1755707 · 26279992231_<11> · 40843729718503_<14> · 6703258630618969759907952171111886533260053091_<46>

(58·10⁸⁵+23)/9 =

64444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<86>

= 59 · 227939225824244137867253_<24> · 112547420431675749317408327_<27> · 42577372596873517851084919204218143_<35>

(58·10⁸⁶+23)/9 =

644444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<87>

= 2747176575503_<13> · 234584281982838525989934471493339449898044759334673611396494824113010481649_<75>

(58·10⁸⁷+23)/9 =

6444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<88>

= 3 · 7 · 761 · 3463 · 167524481 · 695105556120138864023289368321023705738974930316155004609879548430467629_<72>

(58·10⁸⁸+23)/9 =

64444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<89>

= 15643 · 1060680480776618350957008878311_<31> · 3884014673953907538322737468714146785908715314687866539_<55> (Makoto Kamada / GGNFS-0.70.3 / 0.19 hours)

(58·10⁸⁹+23)/9 =

644444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<90>

= 516377 · 3707905135988923_<16> · 9942837994362140321_<19> · 33851632413614506772660351491504189082925734645717_<50>

(58·10⁹⁰+23)/9 =

6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<91>

= 3² · 97 · 163 · 5011 · 42381869 · 549508689283924883999072827_<27> · 388065079746674262166466873507286167140084149121_<48>

(58·10⁹¹+23)/9 =

64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<92>

= 83 · 359 · 41519 · 79686199 · 1618575061088633_<16> · 38792370535224348262207811_<26> · 10411271759584206739022963513074817_<35>

(58·10⁹²+23)/9 =

644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<93>

= definitely prime number

(58·10⁹³+23)/9 =

6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<94>

= 3 · 7 · 5231 · 13325461 · 335664032628454258583_<21> · 13115788928120560930516353478715738116161266460260779539253519_<62>

(58·10⁹⁴+23)/9 =

64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<95>

= 71 · 263 · 653 · 21636464844722458659751403133134290781_<38> · 244270995453285535988095567371181706925372950457223_<51> (Makoto Kamada / GGNFS-0.71.1 / 0.40 hours)

(58·10⁹⁵+23)/9 =

644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<96>

= 971 · 220932463429759_<15> · 3004046972454368365301051975366247600831990160082946654731582906264474925560323_<79>

(58·10⁹⁶+23)/9 =

6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<97>

= 3 · 2148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148148149_<97>

(58·10⁹⁷+23)/9 =

64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<98>

= 19 · 846383 · 4007420831345946248201833998907203976677004223261899191491101387311744238000778448405835211_<91>

(58·10⁹⁸+23)/9 =

644444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<99>

= 79967 · 792710221347162734174698101869031414448048247_<45> · 10166236824593254511529309325059262437013650244103_<50> (Makoto Kamada / GGNFS-0.71.1 / 0.56 hours)

(58·10⁹⁹+23)/9 =

6444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<100>

= 3⁴ · 7 · 719 · 4907431 · 3221212182050162571561865734160285886513883809903485355245756929235006879429212561058769_<88>

(58·10¹⁰⁰+23)/9 =

64444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444447_<101>

= 17 · 67 · 176675626703_<12> · 361104370643_<12> · 19648979433622018554761_<23> · 45134888766134011275774308152894190875119413456368417_<53>

(58·10¹⁰¹+23)/9 =

6(4)₁₀₀7_<102>

= 74892740951916065159_<20> · 8604898635746311244758418813159927708382511486481441188864380259838171494408913833_<82>

(58·10¹⁰²+23)/9 =

6(4)₁₀₁7_<103>

= 3 · 4255169 · 1272211987_<10> · 396814864969581473223297935337101166253655743082132996770375378492574562660450775450583_<87>

(58·10¹⁰³+23)/9 =

6(4)₁₀₂7_<104>

= 1847610997_<10> · 34879877067783248555997009171538528380194764798991096524873327783318256816180037298427296838851_<95>

(58·10¹⁰⁴+23)/9 =

6(4)₁₀₃7_<105>

= 506809 · 53100053 · 77286826000327_<14> · 163897923512372983_<18> · 69615172602452349307391208089_<29> · 27155848883350096318618137500339_<32> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4107787216 for P32 / Jul 4, 2009)

(58·10¹⁰⁵+23)/9 =

6(4)₁₀₄7_<106>

= 3 · 7 · 120167 · 304798728257921_<15> · 5978131975874559537004027901159_<31> · 1401529751193343301142506954909109099808272119184030739_<55> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=80318575 for P31 / Jul 4, 2009)

(58·10¹⁰⁶+23)/9 =

6(4)₁₀₅7_<107>

= 492161744461753_<15> · 78129326361730982026375097231768957_<35> · 1675959621960563483941991874954435017512192924461523251107_<58> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 0.43 hours on Core 2 Quad Q6700 / Jul 13, 2009)

(58·10¹⁰⁷+23)/9 =

6(4)₁₀₆7_<108>

= 24671 · 206511599081_<12> · 480607992521_<12> · 953312913809685557_<18> · 23546457116538591460406682287_<29> · 11724713664825132581594694426845923_<35>

(58·10¹⁰⁸+23)/9 =

6(4)₁₀₇7_<109>

= 3² · 151 · 41461669 · 315513713687_<12> · 362494153751830653158283463841961150021439336635907601181988836338783232956668849941611_<87>

(58·10¹⁰⁹+23)/9 =

6(4)₁₀₈7_<110>

= 4387099 · 14689535030881328286515632413228979889545333817277532247265093503575926698814967349595813644607619851853_<104>

(58·10¹¹⁰+23)/9 =

6(4)₁₀₉7_<111>

= 7757707 · 16704887299_<11> · 70510507217_<11> · 509180396670673477949598152869_<30> · 138510611798590873987507466756338302316554847301957923_<54> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2818296486 for P30 / Jul 4, 2009)

(58·10¹¹¹+23)/9 =

6(4)₁₁₀7_<112>

= 3 · 7² · 32789 · 48039247 · 577672633 · 50196008649124066760669118985278755117_<38> · 959826657005513846552635296036664574714149430138227_<51> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 0.65 hours / Jul 13, 2009)

(58·10¹¹²+23)/9 =

6(4)₁₁₁7_<113>

= 367 · 433 · 479 · 559426740713_<12> · 47167710691602378322153_<23> · 32085439322773338694573150904644715702977220577715916835938109552641167_<71>

(58·10¹¹³+23)/9 =

6(4)₁₁₂7_<114>

= definitely prime number

(58·10¹¹⁴+23)/9 =

6(4)₁₁₃7_<115>

= 3 · 4335063118793507391728654777432128393_<37> · 495528689959651579368664634248240159079415334936580114911985607106035232953293_<78> (Sinkiti Sibata / Msieve 1.40 snfs / 1.16 hours / Jul 13, 2009)

(58·10¹¹⁵+23)/9 =

6(4)₁₁₄7_<116>

= 19 · 54287 · 1955854867_<10> · 2409095159_<10> · 7925662807_<10> · 1673053655494998247635392744072754454703724628119731895202231223706666845122935769_<82>

(58·10¹¹⁶+23)/9 =

6(4)₁₁₅7_<117>

= 17 · 7591 · 9173 · 24979 · 755827575413_<12> · 139140350201119489_<18> · 51654257896074362107_<20> · 12421599900987859794148549_<26> · 322991908093238590128039368653_<30>

(58·10¹¹⁷+23)/9 =

6(4)₁₁₆7_<118>

= 3² · 7 · 61 · 333522290074209467502371_<24> · 3949585256908915681941269_<25> · 1273030305345911801781926497062397073761318446344704655906713793771_<67>

(58·10¹¹⁸+23)/9 =

6(4)₁₁₇7_<119>

= 9431 · 6833256753731782890938865915008423756170548663391416015740053487906313693610904935260782996972160369467123787980537_<115>

(58·10¹¹⁹+23)/9 =

6(4)₁₁₈7_<120>

= 89 · 425273 · 17996597 · 10596796586393_<14> · 20335536686739297898769_<23> · 4390429812314010181609446144428107941090052213717017714875034607233499_<70>

(58·10¹²⁰+23)/9 =

6(4)₁₁₉7_<121>

= 3 · 16481 · 670037 · 3592422000876207144080797101689943790151669878642591_<52> · 54149510756258711112608068985210572030309207474345155051487_<59> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 1.72 hours / Jul 14, 2009)

(58·10¹²¹+23)/9 =

6(4)₁₂₀7_<122>

= 190167453708004564154263702851893_<33> · 3418308221500677523253147307603431_<34> · 99137525166156300602029321996108368406137695714824853509_<56> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=900063379 for P33 / Jul 4, 2009) (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3379191283 for P34 / Jul 4, 2009)

(58·10¹²²+23)/9 =

6(4)₁₂₁7_<123>

= 24375819547_<11> · 26437857533440676337988663583555714137829330413546339026992159593888235984504945697219000028907805256999773786701_<113>

(58·10¹²³+23)/9 =

6(4)₁₂₂7_<124>

= 3 · 7 · 24391 · 13990433 · 50773799828332712760339199634604292107704204758339_<50> · 17711924842507332373590758448378995774984298667244766404457271_<62> (JPascoa / Chris Monico ggnfs-0.77.1, Msieve 1.40 snfs / 1.92 hours on Core 2 6600@2.4 GHz , Windows XP 32-bit and Cygwin / Jul 14, 2009)

(58·10¹²⁴+23)/9 =

6(4)₁₂₃7_<125>

= definitely prime number

(58·10¹²⁵+23)/9 =

6(4)₁₂₄7_<126>

= 974736791340018918589686620786549510151975781_<45> · 661147142664528713748930535458851545304856790693588371526999971594298072964481587_<81> (Sinkiti Sibata / Msieve 1.40 snfs / 2.33 hours / Jul 13, 2009)

(58·10¹²⁶+23)/9 =

6(4)₁₂₅7_<127>

= 3³ · 5010413786929_<13> · 82975754358631_<14> · 574112386425880392293690501287060026304773997005612227494099904536175604492970913426891427120877339_<99>

(58·10¹²⁷+23)/9 =

6(4)₁₂₆7_<128>

= 47 · 62191 · 22047537303387759959946467058907560492075183774776347690879690276195962008748082672030756466590207327818331941867638522111_<122>

(58·10¹²⁸+23)/9 =

6(4)₁₂₇7_<129>

= 131 · 41813 · 21245655914760583_<17> · 760985107913167809574082276999951959_<36> · 7277070100650168876742315488211887360553220961176794222662356452710017_<70> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 1.72 hours on Core 2 Quad Q6700 / Jul 14, 2009)

(58·10¹²⁹+23)/9 =

6(4)₁₂₈7_<130>

= 3 · 7 · 71 · 421 · 1390317957013_<13> · 75763157022055757160940379455506947440975308080533513_<53> · 97466091234717045166053084915874283627086578275412208937333_<59> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 1.47 hours on Core 2 Quad Q6700 / Jul 14, 2009)

(58·10¹³⁰+23)/9 =

6(4)₁₂₉7_<131>

= definitely prime number

(58·10¹³¹+23)/9 =

6(4)₁₃₀7_<132>

= 5350911483326430577_<19> · 51911906917825937868359_<23> · 2320014690674798271610913802689019697454506737753220988970627621500512044468768977448043129_<91>

(58·10¹³²+23)/9 =

6(4)₁₃₁7_<133>

= 3 · 17 · 83 · 107 · 113 · 9377839 · 54324469205731_<14> · 131229719259439253_<18> · 4760339406616587863684474719485370271377_<40> · 395645847713421982074206853379199386478310056581_<48> (Sinkiti Sibata / Msieve 1.41 for P40 x P48 / 0.93 hours / Jul 13, 2009)

(58·10¹³³+23)/9 =

6(4)₁₃₂7_<134>

= 19 · 67 · 191 · 2351 · 2301149369_<10> · 520474935617479691947199_<24> · 94129652209238713359032997541674914602999496290821244829581510723857914782983842068562152609_<92>

(58·10¹³⁴+23)/9 =

6(4)₁₃₃7_<135>

= 541 · 739 · 5413 · 20093092051_<11> · 32899582203251_<14> · 1564367318684486358102611_<25> · 287958473312547199315826406872594761956399566447940801498707794933876295279471_<78>

(58·10¹³⁵+23)/9 =

6(4)₁₃₄7_<136>

= 3² · 7 · 23082255542566823599333086556290313_<35> · 186979259626794060686307795753842713194685315639_<48> · 23701359305376003078608706474526261487024092056393967_<53> (Dmitry Domanov / GGNFS/msieve 1.41 snfs / 3.57 hours / Jul 13, 2009)

(58·10¹³⁶+23)/9 =

6(4)₁₃₅7_<137>

= 317 · 463 · 4231 · 6119790257462840180408171750175750836047_<40> · 16957650012616993070182468852439375057528923539892416047822926309148813178064338505119101_<89> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 2.64 hours on Core 2 Quad Q6700 / Jul 14, 2009)

(58·10¹³⁷+23)/9 =

6(4)₁₃₆7_<138>

= 103387 · 2786783 · 15964468923323_<14> · 120751037427907_<15> · 10914273705227128073_<20> · 12385713093431669653483_<23> · 8583317849502423601366809152021230868217075276136586299393_<58>

(58·10¹³⁸+23)/9 =

6(4)₁₃₇7_<139>

= 3 · 443 · 1636781 · 7342583 · 55020989785549_<14> · 1844361277958936963_<19> · 2036625514067175091_<19> · 48727559996110881335381_<23> · 40064601203485791869869926078248804298255977816933_<50>

(58·10¹³⁹+23)/9 =

6(4)₁₃₈7_<140>

= 1938058158904057175420875818268265892536340598520596225753765591909_<67> · 33252069422357691954035197580335551879441443411363876229822358630860524083_<74> (Sinkiti Sibata / Msieve 1.40 snfs / 6.74 hours / Jul 14, 2009)

(58·10¹⁴⁰+23)/9 =

6(4)₁₃₉7_<141>

= 149 · 557 · 7765045780300078855378699943904238242314947579246977991450416835690292487853727958315092169754611165332551473551316911600308995270016079_<136>

(58·10¹⁴¹+23)/9 =

6(4)₁₄₀7_<142>

= 3 · 7 · 436439 · 103617691367_<12> · 2579254893476128243_<19> · 76186258682820596721818032631403693765457390966091_<50> · 34533278839482980957953122866654334570356354654042530003_<56> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 4.22 hours on Core 2 Quad Q6700 / Jul 14, 2009)

(58·10¹⁴²+23)/9 =

6(4)₁₄₁7_<143>

= 1249 · 2347 · 24919 · 466183 · 15523710638280211453_<20> · 5264538448831778063739858965185820207_<37> · 23156188327031872626489300434370560937362355885611469744116956097040047_<71> (JPascoa / ggnfs, Msieve 1.40 gnfs for P37 x P71 / 10.92 hours on Core 2, Windows XP 32 bit, Cygwin / Jul 14, 2009)

(58·10¹⁴³+23)/9 =

6(4)₁₄₂7_<144>

= 59 · 5099 · 59693 · 1516609 · 3036521 · 15974908379_<11> · 148941536483897_<15> · 5333497182054361093_<19> · 499081496116035611271182301806421779_<36> · 1230374701601159680400591253851230606701511_<43> (Makoto Kamada / Msieve 1.41 for P36 x P43 / Jul 13, 2009)

(58·10¹⁴⁴+23)/9 =

6(4)₁₄₃7_<145>

= 3² · 233 · 419 · 39163 · 118640521 · 162435827 · 9718118915611985971681914312649433793130146260840089162148525744839597035944763208249513903661705914246560969414261949_<118>

(58·10¹⁴⁵+23)/9 =

6(4)₁₄₄7_<146>

= 318103 · 23255597 · 24166991 · 24837440522145492041_<20> · 155862830136335532804447504661369172098147_<42> · 93114699926353630931013362844178771981034759538690356442350389481_<65> (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P42 x P65 / 6.15 hours on Core 2 Quad Q6700 / Jul 15, 2009)

(58·10¹⁴⁶+23)/9 =

6(4)₁₄₅7_<147>

= 225240727286207539_<18> · 7984979862480793926125756973956199182887_<40> · 358314792650653686950640911375423315769676174740273424441797231618837823936703464982949779_<90> (JPascoa / ggnfs, Msieve 1.40 snfs / 22.89 hours on dual xenon cpu 3.06, windows 2003, cygnus / Jul 14, 2009)

(58·10¹⁴⁷+23)/9 =

6(4)₁₄₆7_<148>

= 3 · 7 · 19448841488893_<14> · 805559364860507_<15> · 117743176838317603744085092073414896474908231317839_<51> · 166356261680136035603069369279866858793166950948301687007455754691363_<69> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 8.55 hours on Core 2 Quad Q6700 / Jul 15, 2009)

(58·10¹⁴⁸+23)/9 =

6(4)₁₄₇7_<149>

= 17 · 15737 · 1600057148951_<13> · 281957788581047651_<18> · 957229269729820319274362209397_<30> · 557800703761628951235813012289882908409521924268072584602236892834526943369023125519_<84> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=6037326045 for P30 / Jul 14, 2009)

(58·10¹⁴⁹+23)/9 =

6(4)₁₄₈7_<150>

= 51307 · 814665077 · 125452973878408950737_<21> · 239805938435749179530628678236164969_<36> · 41430417338281880250147847818250316533_<38> · 12369996045565239429686508194506888049892077_<44> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=5739799736 for P36, YAFU 1.10 Msieve 1.38 for P38 x P44 / Jul 14, 2009)

(58·10¹⁵⁰+23)/9 =

6(4)₁₄₉7_<151>

= 3 · 2003 · 92551 · 107201 · 3391945245606732612163_<22> · 2399679341298100809951191715143165897321865029_<46> · 13280098068807257841052877871669566506875479890479596261399064850887679_<71> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=4284733017 for P46 / Jul 14, 2009)

(58·10¹⁵¹+23)/9 =

6(4)₁₅₀7_<152>

= 19² · 193 · 2078357 · 20362533309101_<14> · 4925716389556747013_<19> · 4437104063149312787640191147387769956742847777492629514341637629936642153583985944843054803242184989522611979_<109>

(58·10¹⁵²+23)/9 =

6(4)₁₅₁7_<153>

= 13028076134156851051_<20> · 49465818115296997917013037862556916699931191737134561743173826981152890275760684805728177916724649754636688144243752988330561761517597_<134>

(58·10¹⁵³+23)/9 =

6(4)₁₅₂7_<154>

= 3³ · 7² · 13386589 · 92319833 · 394377397 · 814705712881851172222015572110575961300237593_<45> · 12267269943728648564005575671767203078380537568076048469810797003362184815778995757_<83> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 12.80 hours on Core 2 Quad Q6700 / Jul 16, 2009)

(58·10¹⁵⁴+23)/9 =

6(4)₁₅₃7_<155>

= 2221 · 64282310843_<11> · 826950947036232072542160696882965155619752449697_<48> · 545840424644446244851714823114328414970104900490414450438285896386706980952189028867721389217_<93> (Dmitry Domanov / GGNFS/msieve 1.41 snfs / 19.28 hours / Jul 13, 2009)

(58·10¹⁵⁵+23)/9 =

6(4)₁₅₄7_<156>

= 5039 · 9349 · 14946877219_<11> · 915219993496024728740660358560541186360768455990400673240530793211600786756528126021810986276947390795552945581796784482180515806796542783_<138>

(58·10¹⁵⁶+23)/9 =

6(4)₁₅₅7_<157>

= 3 · 307 · 763897 · 120066543180694111133541404474922697213321_<42> · 76290250756513641445476454090142648409983943145226476005174220199825080683439408569647411791219214819389111_<107> (JPascoa / ggnfs, Msieve 1.40 snfs / 59.23 hours on Dual Xeon 3.06, Windows 2005, Cygwin / Jul 15, 2009)

(58·10¹⁵⁷+23)/9 =

6(4)₁₅₆7_<158>

= 3533 · 27409 · 665500913306489160683133612435925500353390737996371787698374649299520760285500488464475090233691139096181809791708391709381010911102040333662743663851_<150>

(58·10¹⁵⁸+23)/9 =

6(4)₁₅₇7_<159>

= 507258946185199073_<18> · 1278645878079139367561302863672131908561906870215169_<52> · 993586051553808199193408457585820294273094326234517367149202785954627596743988796894988031_<90> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 19.20 hours on Core 2 Quad Q6700 / Jul 17, 2009)

(58·10¹⁵⁹+23)/9 =

6(4)₁₅₈7_<160>

= 3 · 7 · 499 · 619 · 649879 · 1003059847_<10> · 20059838014054639_<17> · 135995251514984260891294994363_<30> · 558681742742766759163940998916031162988864318517096048533861198413220411759286615774844288967_<93> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2897476486 for P30 / Jul 5, 2009)

(58·10¹⁶⁰+23)/9 =

6(4)₁₅₉7_<161>

= 1642187 · 67538147 · 191584798553051677_<18> · 3032862258054627245298257337447171987397166605898087372017783779349895635623802110021085436600306391491043106957268919653029659499_<130>

(58·10¹⁶¹+23)/9 =

6(4)₁₆₀7_<162>

= 41119327973436033475483754806134272837_<38> · 26871790039300526486196912904597959855554874021199_<50> · 583234060233196823479456446336892759281171709697223343472935319966425238269_<75> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=1512772174 for P38 / Jul 13, 2009) (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 20.09 hours on Core 2 Quad Q6700 / Jul 18, 2009)

(58·10¹⁶²+23)/9 =

6(4)₁₆₁7_<163>

= 3² · 24247 · 1079831 · 2020506749_<10> · 149341881640836290021255337570732276202949_<42> · 90633185966835800545817749240634207154524406954605664798680122666388901649995696515931063037625341319_<101> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 26.23 hours on Core 2 Quad Q6700 / Jul 18, 2009)

(58·10¹⁶³+23)/9 =

6(4)₁₆₂7_<164>

= 89 · 1361722388871787_<16> · 4310597647035065104719854951_<28> · 1394721122046343598898954744537561461564601370683041_<52> · 88446781495499968050670791016168541995795404733544043226877321557619_<68> (JPascoa / ggnfs, Msieve 1.40 snfs / 122.50 hours on dual core xeon 3.06 4 threads windows 2003 cygwin / Jul 20, 2009)

(58·10¹⁶⁴+23)/9 =

6(4)₁₆₃7_<165>

= 17 · 71 · 109 · 1811 · 11500057744747399273355108662919213155050608195831_<50> · 235197794368519156880312362442167554274367596081043998198046134333506670922483690675068444570466640194016809_<108> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 33.45 hours, 0.81 hours / Jul 18, 2009)

(58·10¹⁶⁵+23)/9 =

6(4)₁₆₄7_<166>

= 3 · 7 · 2521 · 6521 · 29605331180473_<14> · 140513717693441_<15> · 4645907577671597_<16> · 965872785151028480289103930447332382834436339351426708907829203162375863814167600921243876452432546831529287961687_<114>

(58·10¹⁶⁶+23)/9 =

6(4)₁₆₅7_<167>

= 67 · 269 · 24659821 · 359583120536779_<15> · 37955506286865983_<17> · 34290262392024774518344843759406959751_<38> · 309830085865730714982413828543955085580794667849260732917353228988602413576841495364287_<87> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=5400989727 for P38 / Jul 17, 2009)

(58·10¹⁶⁷+23)/9 =

6(4)₁₆₆7_<168>

= 383 · 81817 · 116411 · 2539015319297239760208862106037195769_<37> · 374955885683995304806408659651797737916881109_<45> · 185568237447150266710225357815093455211539272721334490104275510776087852567_<75> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=4052174073 for P37 / Jul 17, 2009) (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P45 x P75 / 26.73 hours on Core 2 Quad Q6700 / Jul 19, 2009)

(58·10¹⁶⁸+23)/9 =

6(4)₁₆₇7_<169>

= 3 · 593 · 1807463629170919_<16> · 2004194975897472144228906825907151849765074990647376163399730243660853199271150842562362712993125051642880816646391150799250578164025829809923340304147_<151>

(58·10¹⁶⁹+23)/9 =

6(4)₁₆₈7_<170>

= 19 · 595027205653663_<15> · 25375530110051932248409455637683310452044129_<44> · 224636299692188654900752577911302035085906908095641797207881999549460700135118306963468485330593067442061655419_<111> (Andreas Tete / Syd`s Database workers / Jul 18, 2009)

(58·10¹⁷⁰+23)/9 =

6(4)₁₆₉7_<171>

= 1153 · 2213 · 123493 · 466866407317_<12> · 19446241608838036363980356232313_<32> · 225270393946095807438626231453873038111507697639127097761464724268163034474733434977524246262956615989308890849723891_<117> (Serge Batalov / GMP-ECM B1=1000000, sigma=3684692784 for P32 / Jul 13, 2009)

(58·10¹⁷¹+23)/9 =

6(4)₁₇₀7_<172>

= 3² · 7 · 163 · 229 · 43607 · 355636003 · 1269791928287_<13> · 111929378928377_<15> · 29987432328229516862586197167_<29> · 5256085350367721968365243508879_<31> · 14889514327152662463708208717849_<32> · 529786685826043275442599790114501549_<36> (Serge Batalov / GMP-ECM 6.2.3 B1=1000000, sigma=3348063929 for P29 / Jul 13, 2009) (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P31 x P32 x P36 / 2.08 hours on Core 2 Quad Q6700 / Jul 14, 2009)

(58·10¹⁷²+23)/9 =

6(4)₁₇₁7_<173>

= 337 · 857 · 223138629490232106494065089538222300705464318786618299445115783941790056557948140274175820159497953472517977086740525553027933493916202211303818248200175356185037323783_<168>

(58·10¹⁷³+23)/9 =

6(4)₁₇₂7_<174>

= 47 · 83 · 19867 · 363012548911_<12> · [22906334778776101466745931712782774344115754893195799170327118762216288912950864924400717551561065550070862796715415922269471342481222227700096728249157631_<155>] SUBMIT/RESERVE

(58·10¹⁷⁴+23)/9 =

6(4)₁₇₃7_<175>

= 3 · 85828151 · 304025035046063_<15> · 53729789147902641367609_<23> · [1532180706518241401927716774157632699327869454163147171133536036563824372197597503212744377302363679700262646993297942946249284197_<130>] SUBMIT/RESERVE

(58·10¹⁷⁵+23)/9 =

6(4)₁₇₄7_<176>

= 1613 · 35656160338682906683_<20> · 1247169141570102577601527931_<28> · 1096361019585145532582908854881_<31> · 14983018931158829173921366367260641067839096419_<47> · 54693821851703361473715645811927745590131721657777_<50> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3042837923 for P31 / Jul 6, 2009) (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P47 x P50 / 1.73 hours on Core 2 Quad Q6700 / Jul 13, 2009)

(58·10¹⁷⁶+23)/9 =

6(4)₁₇₅7_<177>

= 8929 · 495108312917_<12> · 11709965533731842879_<20> · 584523038568799821949_<21> · 45945311893089576120617083406295313405032488551893964974131_<59> · 463536555085071903813929644352373972274237777973789300237822779_<63> (Andreas Tete / Msieve v.1.42/GGNFS for P59 x P63 / 2.51 hours on Intel Core 2 T8100 @2.1GHz/Windows Vista 32bit / Jul 19, 2009)

(58·10¹⁷⁷+23)/9 =

6(4)₁₇₆7_<178>

= 3 · 7 · 61 · 308817679 · 3883148160446430059_<19> · [4195176512523234325393154247886607436038481937759977763032149219841733047383000796284761252535637961273002724730072153085909862400802237143904738067_<148>] SUBMIT/RESERVE

(58·10¹⁷⁸+23)/9 =

6(4)₁₇₇7_<179>

= 9179740957_<10> · [7020290087303870359578867193130583286506615574908803436341285904157833900023029205882246601225573607920322543415801579949141526134291813703566629352376010019957303294571_<169>] SUBMIT/RESERVE

(58·10¹⁷⁹+23)/9 =

6(4)₁₇₈7_<180>

= 672685683356861337041796175253604246571_<39> · 958017184531880621373920860801042598243408868260257248390356768611005235992717460853265486439899270704857151033067923579387134911377797556957_<141> (Dmitry Domanov / ECMNET / Jul 14, 2009)

(58·10¹⁸⁰+23)/9 =

6(4)₁₇₉7_<181>

= 3⁴ · 17 · 12222788001163_<14> · 18722127113932285154908967_<26> · [20451542787637746204570073781611592499747087105319588833773116852420493477170762705368321610496780533385194881236326320745007039209454358491_<140>] SUBMIT/RESERVE

(58·10¹⁸¹+23)/9 =

6(4)₁₈₀7_<182>

= 227 · 36781 · [7718556619798127007065926041881713306111581078054263129827067202797609477844568577465889535770472909177088348315783664454754572988620997750400057447353821283714938107223340681_<175>] SUBMIT/RESERVE

(58·10¹⁸²+23)/9 =

6(4)₁₈₁7_<183>

= 167 · 727 · 25703 · 45553117 · 17689233697921_<14> · 14550267537013979161_<20> · [17613784895884676953595656164894104108317527541095795717450486184399906497702494115952649268873331309132264470169570263839041447272293_<134>] SUBMIT/RESERVE

(58·10¹⁸³+23)/9 =

6(4)₁₈₂7_<184>

= 3 · 7 · 151 · 1217 · [1669931526761098991151176799307312402699496138470491863647326815360249001762439974959088836988568714068939898386969950417141697404203730149084864566969623916736292734159598177621_<178>] SUBMIT/RESERVE

(58·10¹⁸⁴+23)/9 =

6(4)₁₈₃7_<185>

= 176588117670435309434329024092440363_<36> · [364942133675814393150109614547698249357635271656814604537174727470973783441581875210983228248347867250016918641191589005044762359987857325025874363869_<150>] (Dmitry Domanov / ECMNET / Jul 14, 2009) SUBMIT/RESERVE

(58·10¹⁸⁵+23)/9 =

6(4)₁₈₄7_<186>

= 107 · 6022845275181723779854620976116303219106957424714434060228452751817237798546209761163032191069574247144340602284527518172377985462097611630321910695742471443406022845275181723779854621_<184>

(58·10¹⁸⁶+23)/9 =

6(4)₁₈₅7_<187>

= 3 · 97 · 287437 · 124582778769042233_<18> · 1431769295452365516249353_<25> · 431935366941111283471879366989336881802327365621295947582072332612066537270001304091577149547964049528277544062912825119286823817020826409_<138>

(58·10¹⁸⁷+23)/9 =

6(4)₁₈₆7_<188>

= 19 · 191379776483330109719074784422593962641_<39> · 17722942976644742493298788382265098427947056575301551556533727688497872316694355856538018670950859864388326426079285337993714319660444511908472818293_<149> (Dmitry Domanov / ECMNET / Jul 13, 2009)

(58·10¹⁸⁸+23)/9 =

6(4)₁₈₇7_<189>

= 41880629569_<11> · [15387649399651374291508670334822598388634181241919631097044276728180252166458172386325533855406414280888539630550090225756712154176940100822399947156927239850023383597728180666463_<179>] SUBMIT/RESERVE

(58·10¹⁸⁹+23)/9 =

6(4)₁₈₈7_<190>

= 3² · 7 · 179 · [571467983013606849733479156197964391632920496980087296660853457873942045264205413181204615096607647818076123476495915974500704482082508153271654202752899214724168169233346142098469845211_<186>] SUBMIT/RESERVE

(58·10¹⁹⁰+23)/9 =

6(4)₁₈₉7_<191>

= 230090208780941389_<18> · [280083384625023838561426672273563841436832071239594215894875394641455475459533890540099101798741003737469986269256803929353256033193097927096473588501009235641404887863882523_<174>] SUBMIT/RESERVE

(58·10¹⁹¹+23)/9 =

6(4)₁₉₀7_<192>

= 85331 · 26532654823119659_<17> · 284641318089204930930563338986853049764388186398264619524129677822301778978228110311280407973336885354282412098500996916749488936773421014434083392682009469393598059120143_<171>

(58·10¹⁹²+23)/9 =

6(4)₁₉₁7_<193>

= 3 · 1303 · 844121 · 74920053438560987_<17> · [26068559315633508853361374451904476519423749326786195584231114439148778595175929691479620031565074913591600093113915898143274449326354649645528281071407781709074786129_<167>] SUBMIT/RESERVE

(58·10¹⁹³+23)/9 =

6(4)₁₉₂7_<194>

= 3054838159_<10> · 23404063228800740965529_<23> · [901376050066931503550412444351995115753179236384130815719607627387542024548506409014188379771311606869019706763896291050563612295274730258964961782343295686029977_<162>] SUBMIT/RESERVE

(58·10¹⁹⁴+23)/9 =

6(4)₁₉₃7_<195>

= 257 · 403464209177_<12> · 277910928745730887156179766492458017_<36> · 3543970882437511879731257595620290877_<37> · 6310322790083620064791690811822998614035354857083272254295215385444318070690134698155017866341817570459038947_<109> (Andreas Tete / Syd`s Database workers http://factorization.ath.cx/search.php / Jul 23, 2009) (Andreas Tete / Syd`s Databaseworkers / Jul 24, 2009)

(58·10¹⁹⁵+23)/9 =

6(4)₁₉₄7_<196>

= 3 · 7² · 5981 · 7247 · 25457 · 93578730460656924216568883_<26> · [424572356311906673535762723119892896037401294163072058378214119984705970389476669464932539308200188916335350708629826906145994093655824664766037145379543053_<156>] SUBMIT/RESERVE

(58·10¹⁹⁶+23)/9 =

6(4)₁₉₅7_<197>

= 17 · 101429 · 5918095508233034813_<19> · [6315277654911078525833246743206941783684510818398462845267359953112432983148020629866461362013193760036617699382737425650731926113578347108768733769993447571797298447627983_<172>] SUBMIT/RESERVE

(58·10¹⁹⁷+23)/9 =

6(4)₁₉₆7_<198>

= 27849187 · 23140511945445461098898306957558382025458927919312130887140240196040352791786864171095710781231942047157227406474897972585140257216285863010810493119402173012966031807120417714328409100216981_<191>

(58·10¹⁹⁸+23)/9 =

6(4)₁₉₇7_<199>

= 3² · 26953 · 120122654799524499176412214703101874912457837887590623290818089496051374264866997231397_<87> · 221162220425611739516129953287180898210393040202298784816406964454293545788847480164075208005108893026032963_<108> (matsui / Msieve 1.42 snfs / 1399.41 hours / Sep 26, 2009)

(58·10¹⁹⁹+23)/9 =

6(4)₁₉₈7_<200>

= 67 · 71 · 108846601 · 4356042923447087_<16> · 27361315595561333_<17> · [1044259259912669007282999196915720751967084723445974348979875452964818486989669113662293783045869418215415948373446694922575224025715685181232002723726455601_<157>] SUBMIT/RESERVE

(58·10²⁰⁰+23)/9 =

6(4)₁₉₉7_<201>

= 673 · 160723 · 307823 · 685723 · 1945100881_<10> · 68945385822779_<14> · 5413769753917788696452779289_<28> · 38877245631638834693386803532084744788494068931998551860227403348236849588733553010726855370523763397553803419105330299298903468747_<131>

(58·10²⁰¹+23)/9 =

6(4)₂₀₀7_<202>

= 3 · 7 · 59 · 1077279209_<10> · 1781627747_<10> · 30297092310814121029529794339259_<32> · 89447453611115384235878445655526795835222280743403456616133385462314670368342358184437926433531052514215730265019173286277064719302589369837790759489_<149> (Andreas Tete / Syd`s Databaseworkers with ecm B1 = 1e6 / Jul 17, 2009)

(58·10²⁰²+23)/9 =

6(4)₂₀₁7_<203>

= 122203 · 287922001189726263337_<21> · 900888654245586171146217023177567172781_<39> · [2033094880569783215278126749021287699566111873184365711870097919375967568012016979486944089877439038338587424781953667086152516217685482617_<139>] (Andreas Tete / Sys`s Databaseworkers with ECM B1=3e6 / Jul 27, 2009) SUBMIT/RESERVE

(58·10²⁰³+23)/9 =

6(4)₂₀₂7_<204>

= 1669 · 1777 · 2537159 · 3951055898554283_<16> · [21676085777758871435078167894947235008173909258849921677137775395764058129141728022028586480202169028084650397687198047420124465667698302468724265592283903690201234412930305327_<176>] SUBMIT/RESERVE

(58·10²⁰⁴+23)/9 =

6(4)₂₀₃7_<205>

= 3 · 28019 · 59207 · 324589 · 33441127568834411_<17> · 63720729576048410488429_<23> · 394192572388787005036717_<24> · [4749355242433235476123012030329441184378194798792784763016288122032273446358666218374587056281685045702182953651928741537683399_<127>] SUBMIT/RESERVE

(58·10²⁰⁵+23)/9 =

6(4)₂₀₄7_<206>

= 19 · 4673817737_<10> · 5386475191_<10> · 37279635067379744491429662807584297718778261_<44> · [3613963770556477654016730027656282688127304025375501313679954016553439847689009024896441883490154237053247753961776552755718531951417094099999_<142>] (Andreas Tete / ECM with Syd`s Databaseworkers / Jul 17, 2009) SUBMIT/RESERVE

4. References

• A103036 (On-Line Encyclopedia of Integer Sequences)