Factorizations of 100...007

Since June 16, 2000

English text only.

Factorizations of 100...007	2008-08-19(Tue) 23:04

Last update

Aug 19, 2008 23:04 JST

Sequence

17, 107, 1007, 10007, 100007, ...

General term

10ⁿ+7

Room for prime numbers

upper limit of periods: 10000
upper limit of periodical factors: 4294967296
checked terms: 100000000
terms divided by periodical factors: 70768543
room for prime numbers: 29.23%

Prime numbers

10¹+7 = 17 is prime. (Makoto Kamada / Jul 8, 2004)
10²+7 = 107 is prime. (Makoto Kamada / Jul 8, 2004)
10⁴+7 = 10007 is prime. (Makoto Kamada / Jul 8, 2004)
10⁸+7 = 100000007 is prime. (Makoto Kamada / Jul 8, 2004)
10⁹+7 = 1000000007_<10> is prime. (Makoto Kamada / Jul 8, 2004)
10²⁴+7 = 1(0)₂₃7_<25> is prime. (Makoto Kamada / PPSIQS / Jul 8, 2004)
10⁶⁰+7 = 1(0)₅₉7_<61> is prime. (Makoto Kamada / PPSIQS / Jul 8, 2004)
10¹¹⁰+7 = 1(0)₁₀₉7_<111> is prime. (Makoto Kamada / PPSIQS / Jul 8, 2004)
10¹³⁴+7 = 1(0)₁₃₃7_<135> is prime. (Makoto Kamada / PPSIQS / Jul 8, 2004)
10²²²+7 = 1(0)₂₂₁7_<223> is prime. (Makoto Kamada / PPSIQS / Jul 8, 2004)
10⁴¹²+7 = 1(0)₄₁₁7_<413> is prime. (searched by Makoto Kamada / PFGW / Jul 8, 2004) (certified by Julien Peter Benney / http://www.alpertron.com.ar/ECM.HTM / Dec 6, 2004)
10⁷⁰⁰+7 = 1(0)₆₉₉7_<701> is prime. (searched by Makoto Kamada / PFGW / Jul 8, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 3, 2006)
10⁹⁹⁹+7 = 1(0)₉₉₈7_<1000> is prime. (searched by Makoto Kamada / PFGW / Jul 8, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 3, 2006)
10¹³⁸³+7 = 1(0)₁₃₈₂7_<1384> is prime. (searched by Makoto Kamada / PFGW / Jul 8, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 6, 2006)
10⁵⁰⁷⁶+7 = 1(0)₅₀₇₅7_<5077> is PRP. (Makoto Kamada / PFGW / Dec 20, 2004)
10⁵⁵⁴³+7 = 1(0)₅₅₄₂7_<5544> is PRP. (Makoto Kamada / PFGW / Dec 20, 2004)
10⁶³⁴⁴+7 = 1(0)₆₃₄₃7_<6345> is PRP. (Makoto Kamada / PFGW / Dec 22, 2004)
10¹⁴⁶⁰⁰+7 = 1(0)₁₄₅₉₉7_<14601> is PRP. (Patrick De Geest / Jan 2005)
10¹⁵⁰⁹³+7 = 1(0)₁₅₀₉₂7_<15094> is PRP. (Thomas Masser / Feb 2004)
10²¹⁷¹⁷+7 = 1(0)₂₁₇₁₆7_<21718> is PRP. (Thomas Masser / Feb 2004)

Searched:

1-10000

References:

Henri & Renaud Lifchitz's PRP Top records (www.primenumbers.net)
A088274 (On-Line Encyclopedia of Integer Sequences)

Condition

n≤200

Status

Completed up to n=100. (Mar 16, 2004)
Completed up to n=150. (Nov 14, 2006)
The following numbers are not factored yet. (n≤200)
n= 178, 180, 181, 182, 183, 189, 191, 192, 194, 196, 198, 199, 200 (13/200)

Factorization results

10¹+7 =: 17; = definitely prime number

10²+7 =: 107; = definitely prime number

10³+7 =: 1007; = 19 · 53

10⁴+7 =: 10007; = definitely prime number

10⁵+7 =: 100007; = 97 · 1031

10⁶+7 =: 1000007; = 29 · 34483

10⁷+7 =: 10000007; = 941 · 10627

10⁸+7 =: 100000007; = definitely prime number

10⁹+7 =: 1000000007_<10>; = definitely prime number

10¹⁰+7 =: 10000000007_<11>; = 23 · 2293 · 189613

10¹¹+7 =: 100000000007_<12>; = 353 · 283286119

10¹²+7 =: 1000000000007_<13>; = 34519 · 28969553

10¹³+7 =: 10000000000007_<14>; = 167 · 619 · 6959 · 13901

10¹⁴+7 =: 100000000000007_<15>; = 43 · 1103 · 2083 · 1012201

10¹⁵+7 =: 1000000000000007_<16>; = 47 · 59 · 360620266859_<12>

10¹⁶+7 =: 10000000000000007_<17>; = 53 · 113 · 277 · 1117 · 5396507

10¹⁷+7 =: 100000000000000007_<18>; = 17 · 9920467 · 592951213

10¹⁸+7 =: 1000000000000000007_<19>; = 1370531 · 729644203597_<12>

10¹⁹+7 =: 10000000000000000007_<20>; = 191 · 786407 · 66576239711_<11>

10²⁰+7 =: 100000000000000000007_<21>; = 67 · 166909 · 8942221889969_<13>

10²¹+7 =: 1000000000000000000007_<22>; = 19 · 223 · 236016049091338211_<18>

10²²+7 =: 10000000000000000000007_<23>; = 947 · 1429 · 7389546599589289_<16>

10²³+7 =: 100000000000000000000007_<24>; = 80683 · 50048543 · 24764326603_<11>

10²⁴+7 =: 1000000000000000000000007_<25>; = definitely prime number

10²⁵+7 =: 10000000000000000000000007_<26>; = 544667 · 18359841885041686021_<20>

10²⁶+7 =: 100000000000000000000000007_<27>; = 21267247 · 4702066045501799081_<19>

10²⁷+7 =: 1000000000000000000000000007_<28>; = 8325465851_<10> · 120113398805171557_<18>

10²⁸+7 =: 10000000000000000000000000007_<29>; = 823 · 339943 · 51888587 · 688846121749_<12>

10²⁹+7 =: 100000000000000000000000000007_<30>; = 53 · 827 · 2281490269444000821336497_<25>

10³⁰+7 =: 1000000000000000000000000000007_<31>; = 251897 · 387727 · 10238844796821566353_<20>

10³¹+7 =: 10000000000000000000000000000007_<32>; = 900821 · 11100984546319413068745067_<26>

10³²+7 =: 100000000000000000000000000000007_<33>; = 23 · 101641 · 56258959 · 760346485574342311_<18>

10³³+7 =: 1000000000000000000000000000000007_<34>; = 17 · 6323 · 77144051 · 120593932070712940927_<21>

10³⁴+7 =: 10000000000000000000000000000000007_<35>; = 29 · 71 · 109 · 84473369 · 6372506597_<10> · 82772685629_<11>

10³⁵+7 =: 100000000000000000000000000000000007_<36>; = 43 · 9257 · 12889 · 24917 · 1491273401_<10> · 524552586889_<12>

10³⁶+7 =: 1000000000000000000000000000000000007_<37>; = 51907 · 19265224343537480493960352168301_<32>

10³⁷+7 =: 10000000000000000000000000000000000007_<38>; = 4897469621215687_<16> · 2041870756416805351361_<22>

10³⁸+7 =: 100000000000000000000000000000000000007_<39>; = 751 · 133155792276964047936085219707057257_<36>

10³⁹+7 =: 1000000000000000000000000000000000000007_<40>; = 19 · 347 · 389513 · 157034976251_<12> · 2479696758123328573_<19>

10⁴⁰+7 =: 10000000000000000000000000000000000000007_<41>; = 163 · 375019 · 4136239 · 39550638490383277927569929_<26>

10⁴¹+7 =: 100000000000000000000000000000000000000007_<42>; = 317 · 141767 · 1287620401_<10> · 1728135292692949031248613_<25>

10⁴²+7 =: 1000000000000000000000000000000000000000007_<43>; = 53 · 3581 · 1685581 · 3125864743784529412677270651779_<31>

10⁴³+7 =: 10000000000000000000000000000000000000000007_<44>; = 353 · 385475552424539_<15> · 73490035152262032777717221_<26>

10⁴⁴+7 =: 100000000000000000000000000000000000000000007_<45>; = 51307 · 770079071609_<12> · 2530976179152124569699760189_<28>

10⁴⁵+7 =: 1000000000000000000000000000000000000000000007_<46>; = 2891430803_<10> · 345849535448834325778606571758238269_<36>

10⁴⁶+7 =: 10000000000000000000000000000000000000000000007_<47>; = 463 · 709447 · 30578069 · 995609417807293390276684651123_<30>

10⁴⁷+7 =: 100000000000000000000000000000000000000000000007_<48>; = 7288639 · 753465466566673841_<18> · 18209172382065743133193_<23>

10⁴⁸+7 =: 1000000000000000000000000000000000000000000000007_<49>; = 16421358727_<11> · 60896300764430648443260209158696128641_<38>

10⁴⁹+7 =: 10000000000000000000000000000000000000000000000007_<50>; = 17 · 572087 · 195064635387888028937_<21> · 5271211709451252581209_<22>

10⁵⁰+7 =: 100000000000000000000000000000000000000000000000007_<51>; = 61667 · 338431 · 4791561222662000618218057876214535883891_<40>

10⁵¹+7 =: 1000000000000000000000000000000000000000000000000007_<52>; = 509 · 1153 · 1703934555281600744278613747003205100898484691_<46>

10⁵²+7 =: 10000000000000000000000000000000000000000000000000007_<53>; = 117811 · 84881717326904957941109064518593340180458531037_<47>

10⁵³+7 =: 100000000000000000000000000000000000000000000000000007_<54>; = 61 · 67 · 21766629220203201120889_<23> · 1124098020085901924594283449_<28>

10⁵⁴+7 =: 1000000000000000000000000000000000000000000000000000007_<55>; = 23 · 7547 · 132425107049_<12> · 43503828813726591306830113960650855403_<38>

10⁵⁵+7 =: 10000000000000000000000000000000000000000000000000000007_<56>; = 53 · 107 · 1763357432551578204902133662493387409627931581731617_<52>

10⁵⁶+7 =: 100000000000000000000000000000000000000000000000000000007_<57>; = 43 · 151 · 585979598036407187_<18> · 26282828523910528396787943758753377_<35>

10⁵⁷+7 =: 1000000000000000000000000000000000000000000000000000000007_<58>; = 19 · 3448704696439_<13> · 15261259974422793526378511530663179312894827_<44>

10⁵⁸+7 =: 10000000000000000000000000000000000000000000000000000000007_<59>; = 331 · 1523 · 4901509213157_<13> · 260979078361033_<15> · 15507314203445365718492819_<26>

10⁵⁹+7 =: 100000000000000000000000000000000000000000000000000000000007_<60>; = 12899 · 50203883 · 1263160177_<10> · 14675685658973113_<17> · 8330092463363640717071_<22>

10⁶⁰+7 =: 1000000000000000000000000000000000000000000000000000000000007_<61>; = definitely prime number

10⁶¹+7 =: 10000000000000000000000000000000000000000000000000000000000007_<62>; = 47 · 269 · 2141 · 369430880276576645104340764817235339625012140422303089_<54>

10⁶²+7 =: 100000000000000000000000000000000000000000000000000000000000007_<63>; = 29 · 1471 · 306453751 · 425262142469155824407_<21> · 17987369870242149109221908189_<29>

10⁶³+7 =: 1000000000000000000000000000000000000000000000000000000000000007_<64>; = 401 · 3821 · 652647366143656822351344877795043926430978298822428357267_<57>

10⁶⁴+7 =: 10000000000000000000000000000000000000000000000000000000000000007_<65>; = 3708293 · 5679251 · 474826441626236922367511018946545258778381566069849_<51>

10⁶⁵+7 =: 100000000000000000000000000000000000000000000000000000000000000007_<66>; = 17 · 5443 · 393267619 · 6514752349927141_<16> · 421819491972117134549511440606255443_<36>

10⁶⁶+7 =: 1000000000000000000000000000000000000000000000000000000000000000007_<67>; = 1156037 · 865024216352936800465729038084421173370748514104652359742811_<60>

10⁶⁷+7 =: 10000000000000000000000000000000000000000000000000000000000000000007_<68>; = 229 · 563119 · 359063102831429_<15> · 4415721756351945449_<19> · 48909346199665901052406217_<26>

10⁶⁸+7 =: 100000000000000000000000000000000000000000000000000000000000000000007_<69>; = 53 · 43579 · 228127 · 189788625599363643721455487439493789301150655535822173743_<57>

10⁶⁹+7 =: 1000000000000000000000000000000000000000000000000000000000000000000007_<70>; = 71 · 17659 · 556741 · 420868727 · 3403891302803017794336323438013206591447057106209_<49>

10⁷⁰+7 =: 10000000000000000000000000000000000000000000000000000000000000000000007_<71>; = 1621 · 252073541474195849351629035309353_<33> · 24473141552192478478666014277117939_<35>

10⁷¹+7 =: 100000000000000000000000000000000000000000000000000000000000000000000007_<72>; = 11287 · 36140807609_<11> · 226363095374702698851667_<24> · 1082973919115276579648545938076387_<34>

10⁷²+7 =: 1000000000000000000000000000000000000000000000000000000000000000000000007_<73>; = 115293091 · 5372421398843_<13> · 1614457611983951335374834756708804091444506754620439_<52>

10⁷³+7 =: 10000000000000000000000000000000000000000000000000000000000000000000000007_<74>; = 59 · 27015003713387111_<17> · 278824004063548316844248009_<27> · 22501568757400682059342981627_<29>

10⁷⁴+7 =: 100000000000000000000000000000000000000000000000000000000000000000000000007_<75>; = 4229 · 5355107 · 22349693 · 30991321 · 2080946115710760061_<19> · 3063526751093061922029152613193_<31>

10⁷⁵+7 =: 1000000000000000000000000000000000000000000000000000000000000000000000000007_<76>; = 19 · 353 · 359 · 1837733 · 31251527 · 1368595001_<10> · 5283827601906631758986390846830446819963379729_<46>

10⁷⁶+7 =: 10000000000000000000000000000000000000000000000000000000000000000000000000007_<77>; = 23 · 71463614513_<11> · 16116777139971953_<17> · 377493071537975277241900786321944008706352458481_<48>

10⁷⁷+7 =: 100000000000000000000000000000000000000000000000000000000000000000000000000007_<78>; = 43 · 3347 · 694825633507271350254653594680414949868330542450372079126743143808061367_<72>

10⁷⁸+7 =: 1000000000000000000000000000000000000000000000000000000000000000000000000000007_<79>; = 127807 · 125899794639864538168006679843_<30> · 62147024116017580740997565247314296303569907_<44>

10⁷⁹+7 =: 10000000000000000000000000000000000000000000000000000000000000000000000000000007_<80>; = 660379 · 7638279815981_<13> · 38846395610063_<14> · 51034099148412313466511563318558605051782945911_<47>

10⁸⁰+7 =: 100000000000000000000000000000000000000000000000000000000000000000000000000000007_<81>; = 116867 · 180667 · 4494266833499_<13> · 1056486986025697_<16> · 997484752171645015775263336129054232568821_<42>

10⁸¹+7 =: 1000000000000000000000000000000000000000000000000000000000000000000000000000000007_<82>; = 17 · 53 · 71947 · 70223139552341_<14> · 1862421970704879690389_<22> · 117951696274875864624789516490456411769_<39>

10⁸²+7 =: 10000000000000000000000000000000000000000000000000000000000000000000000000000000007_<83>; = 20143 · 36551 · 769331809 · 1173249363341235979_<19> · 9526396354259776718449_<22> · 1579588345205842288802941_<25>

10⁸³+7 =: 100000000000000000000000000000000000000000000000000000000000000000000000000000000007_<84>; = 22359956791_<11> · 135729753588999110363_<21> · 239248256617510929989587_<24> · 137722595126645589394954272817_<30>

10⁸⁴+7 =: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<85>; = 3498797 · 102002419 · 67620528593_<11> · 569594086178141537_<18> · 72748953505157770520443636467206432671489_<41>

10⁸⁵+7 =: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<86>; = 277 · 2530587053_<10> · 358671455847747967157_<21> · 39774262310469937924673555024134954172879441950067771_<53>

10⁸⁶+7 =: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<87>; = 67 · 551245361 · 16944619927_<11> · 1873020741091404907_<19> · 40158891139755938047_<20> · 2124340448837114285181275167_<28>

10⁸⁷+7 =: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<88>; = 857 · 12163 · 14206442989174944729833_<23> · 6752943537074783237302201020284867657038227662896721613869_<58>

10⁸⁸+7 =: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<89>; = 193 · 4967 · 361484840539_<12> · 5768906405621_<13> · 3306359826874757_<16> · 36175847124706321_<17> · 41821164700096111345283179_<26>

10⁸⁹+7 =: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<90>; = 315854039 · 22166194031_<11> · 14283098613807347029376226073723340426091520801542608580551718984565823_<71>

10⁹⁰+7 =: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<91>; = 29 · 10797786248872070191273834198413131_<35> · 3193502614880128967730033301894584325285713008357654393_<55>

10⁹¹+7 =: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<92>; = 11974903 · 301641018479897_<15> · 3720398580997636724051_<22> · 744128823808368173368786850986962005612481283427_<48>

10⁹²+7 =: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<93>; = 197 · 52049946331111_<14> · 61193815899703_<14> · 873568280885195149_<18> · 9895785600733281643_<19> · 18435665443597818279362101_<26>

10⁹³+7 =: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<94>; = 19 · 1301 · 3760044565066636541027038033_<28> · 11048399433722230283900740231_<29> · 973815635390716707817395312226111_<33>

10⁹⁴+7 =: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<95>; = 53 · 76739238676700977661741_<23> · 2458706243854153841420674823156663541866462868102150084298757640198359_<70>

10⁹⁵+7 =: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<96>; = 105883 · 232819 · 61327361110376429_<17> · 3976750807753714043_<19> · 1323019050634342903217_<22> · 12572064179381084857682579209_<29>

10⁹⁶+7 =: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<97>; = 10105868194993_<14> · 98952408709966622205779695146265506767380104203642016798481062528600430399508114999_<83>

10⁹⁷+7 =: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<98>; = 17 · 1787 · 3228439 · 48942980175949_<14> · 24104169386389878177319_<23> · 86427382465368422414190487214776508500293000108137_<50>

10⁹⁸+7 =: 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<99>; = 23 · 43 · 308140697 · 6476827169369_<13> · 134391773986849_<15> · 376981165511067479806490526999577154002708973983412509531459_<60>

10⁹⁹+7 =: 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<100>; = 257 · 1439 · 2703996236037239436162704861514832771352782276927070517517839615167255687180083445323844109209_<94>

10¹⁰⁰+7 =: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<101>; = 557 · 294001 · 6908913964859_<13> · 8838655616713081384235006409051132181948832801178384207854273111302870957443689_<79>

10¹⁰¹+7 =: 1(0)₁₀₀7_<102>; = 97 · 13417 · 208393 · 59084797 · 192791912398527408681511782390747682559_<39> · 32368692741544925952914518644950256152604637_<44>

10¹⁰²+7 =: 1(0)₁₀₁7_<103>; = 389 · 1449289 · 498527471947531416654783534317_<30> · 3558002976800022444178113761172468284358678581157818108450599151_<64>

10¹⁰³+7 =: 1(0)₁₀₂7_<104>; = 131 · 118431019896445073_<18> · 644559828407648315662693708497422076683569340950851428881694233528734103706639175389_<84>

10¹⁰⁴+7 =: 1(0)₁₀₃7_<105>; = 71 · 373753 · 442677616305188658936140826719_<30> · 8512740628922820150439828442180740157608051624359399571513032580631_<67>

10¹⁰⁵+7 =: 1(0)₁₀₄7_<106>; = 181 · 661 · 811 · 2702707747424593_<16> · 142956756972200652797234209_<27> · 26674441641708475621214009942131770425308420404049025261_<56>

10¹⁰⁶+7 =: 1(0)₁₀₅7_<107>; = 242076839 · 928356231910219361_<18> · 44497140512023251931092029323078257767648233005341592494081588914139749396916033_<80>

10¹⁰⁷+7 =: 1(0)₁₀₆7_<108>; = 47 · 53 · 353 · 61681 · 197289371 · 185936965927_<12> · 991885479174220754764258963_<27> · 50672134692468052900414696842295894082122003641059_<50>

10¹⁰⁸+7 =: 1(0)₁₀₇7_<109>; = 107 · 1031 · 1642831 · 17001050216011_<14> · 680734153602854328896656807621084241_<36> · 476772697097921113957742275140170533984662810391_<48>

10¹⁰⁹+7 =: 1(0)₁₀₈7_<110>; = 991 · 24961345831969_<14> · 3406661504740308863_<19> · 152315136803637196709237_<24> · 779087614571255424032135958007066179100782481002443_<51>

10¹¹⁰+7 =: 1(0)₁₀₉7_<111>; = definitely prime number

10¹¹¹+7 =: 1(0)₁₁₀7_<112>; = 19 · 367 · 2383 · 114659 · 8274073 · 40776615064609_<14> · 1555670524064668239244798009876623157732185603870898527043940949752566760037271_<79>

10¹¹²+7 =: 1(0)₁₁₁7_<113>; = 149 · 179 · 29789 · 12250160123147_<14> · 288694982464645806415645265022344527_<36> · 3558965473706154484170941109613878570588410175290934137_<55>

10¹¹³+7 =: 1(0)₁₁₂7_<114>; = 17² · 61 · 5923 · 957702430496493913652610318054222181045274166119635019220656813970909424746745408705114773597182140646321_<105>

10¹¹⁴+7 =: 1(0)₁₁₃7_<115>; = 191 · 233 · 28278094931_<11> · 20172336772520594486903449504690499066853073_<44> · 39391666429257807544886005207518985271589064610453705563_<56>

10¹¹⁵+7 =: 1(0)₁₁₄7_<116>; = 607 · 1830106976690231_<16> · 11398833100939120376755667571553829474421791_<44> · 789722364974578368524272664338609565529807497805336881_<54>

10¹¹⁶+7 =: 1(0)₁₁₅7_<117>; = 11971261 · 487230906110243_<15> · 27353067858608527026293_<23> · 324595641998845058527107684033731_<33> · 1930974524623294721222470049318007649423_<40>

10¹¹⁷+7 =: 1(0)₁₁₆7_<118>; = 7829 · 232109 · 48485699 · 834517199452780415383816001_<27> · 13600434193728840528772435098864021148003939126471349543184056089826580413_<74>

10¹¹⁸+7 =: 1(0)₁₁₇7_<119>; = 29 · 18379 · 334528230260497338438209_<24> · 514336524559934242935949598191_<30> · 109043550881457076625147810912968860602444116735165979386583_<60>

10¹¹⁹+7 =: 1(0)₁₁₈7_<120>; = 43 · 67 · 33889 · 71228768478114939483002560133_<29> · 14379459180536288126660265003946859013731655180736723250849699113580330085073167931_<83>

10¹²⁰+7 =: 1(0)₁₁₉7_<121>; = 23 · 53 · 317 · 2207 · 8807 · 10297966731764081519_<20> · 12928710718825223383112285365437227061797295437030548227506045450497288809673399297463639_<89>

10¹²¹+7 =: 1(0)₁₂₀7_<122>; = 163 · 360863 · 324423407999107_<15> · 807680987593123978401029381_<27> · 648810692121095705605589318276190175776120883788474943158501987674021309_<72>

10¹²²+7 =: 1(0)₁₂₁7_<123>; = 491 · 673 · 4517 · 6369287837321109670435482703_<28> · 10518709892379965800362059862829955576975469809028736028292854022674502538395168597599_<86>

10¹²³+7 =: 1(0)₁₂₂7_<124>; = 475313543505412075717774904569_<30> · 1339277674841208459687347740884607_<34> · 1570902321163733274755768379513557979962780323845804178131329_<61>

10¹²⁴+7 =: 1(0)₁₂₃7_<125>; = 421 · 1499 · 15803 · 2284367 · 97734361 · 2992549724933472764477_<22> · 2163519302639634467330466581_<28> · 693683598143786526350641638911188895911413261208069_<51>

10¹²⁵+7 =: 1(0)₁₂₄7_<126>; = 4793 · 5454089 · 2936967806893_<13> · 144974481166020112494608537648926050406620151_<45> · 8984203928864228821357451827539212749804728442768686746837_<58>

10¹²⁶+7 =: 1(0)₁₂₅7_<127>; = 1033 · 1087 · 89209 · 848379710677_<12> · 43146299051262857457736770997_<29> · 272726689198661927864882673838739941003868203810622169486295349820908942177_<75>

10¹²⁷+7 =: 1(0)₁₂₆7_<128>; = 20807 · 91723365768464744537526619507581938393_<38> · 5239749804622823599715059822066862301958866917743463557859703623678405153997813580457_<85>

10¹²⁸+7 =: 1(0)₁₂₇7_<129>; = 113 · 4447 · 79915218623_<11> · 300070258637217881041049_<24> · 12601058884299495661810298688299_<32> · 658559382547561979384587555934254351343066307305180520269_<57>

10¹²⁹+7 =: 1(0)₁₂₈7_<130>; = 17 · 19 · 653 · 49477 · 33641948449_<11> · 1679790042991_<13> · 7843360541641_<13> · 31302454541106019827154891_<26> · 6906598684696433160010946998095509511690048673988436847841_<58>

10¹³⁰+7 =: 1(0)₁₂₉7_<131>; = 977 · 1354127281053891787_<19> · 9240769333641108435061369_<25> · 817970834815078379910976550518358157682186556552042039843185356695024391615419261197_<84>

10¹³¹+7 =: 1(0)₁₃₀7_<132>; = 59 · 151 · 569 · 5417773 · 19919827 · 57056847374929213139_<20> · 1658121551485478098382061499_<28> · 1932094091009817906325501352047464017918456988660627007678324957_<64>

10¹³²+7 =: 1(0)₁₃₁7_<133>; = 116558513 · 70281700175274529_<17> · 193633093979043858980340590655783929870117051_<45> · 630426060826041856187488546625589130148448880923736330632965141_<63>

10¹³³+7 =: 1(0)₁₃₂7_<134>; = 53 · 3467 · 313517 · 7326818644065560723142863817729535163437183781_<46> · 23691565115303358026220558793705439640025910320126905387653154142448478946241_<77>

10¹³⁴+7 =: 1(0)₁₃₃7_<135>; = definitely prime number

10¹³⁵+7 =: 1(0)₁₃₄7_<136>; = 7451 · 26738363 · 802350763 · 11709010829_<11> · 2165262539131_<13> · 467903660987723_<15> · 527350228470935298927070887635602070092557679007274334548834664729287881883689_<78>

10¹³⁶+7 =: 1(0)₁₃₅7_<137>; = 104287 · 675551 · 33762755218034283379_<20> · 4204107420630390361064985936189073577454891417742041007476912068818054473013049164538574908419010246722909_<106>

10¹³⁷+7 =: 1(0)₁₃₆7_<138>; = 2003 · 1762335749656180799_<19> · 105535232069660905201221506508452429252591484471923_<51> · 268431161191091827039594786102407926007133040780685720154460461297_<66>

10¹³⁸+7 =: 1(0)₁₃₇7_<139>; = 659 · 207547 · 85194523 · 3979854869478230107_<19> · 21563498069251741111233652567644683506194487404033392272584122796484561200843610463595618311229672523519_<104>

10¹³⁹+7 =: 1(0)₁₃₈7_<140>; = 71 · 353 · 53961672106207_<14> · 112581990484599907251089_<24> · 1260408514933364560647557_<25> · 18256532538697042786614079_<26> · 2854190789830433431946240825870240279599385993981_<49>

10¹⁴⁰+7 =: 1(0)₁₃₉7_<141>; = 43 · 21097217 · 11152788365662753030393414548412492484668726951178006559050563_<62> · 9883776434573520258949630206067934444680142552606548152157173397538119_<70>

10¹⁴¹+7 =: 1(0)₁₄₀7_<142>; = 2099 · 321892883659540929471862859_<27> · 1480049313842955703989719555399474708621257701391462853273708368907986154489092692806533844295393957539152055927_<112>

10¹⁴²+7 =: 1(0)₁₄₁7_<143>; = 23 · 109 · 10770257 · 4903830845551957768645529_<25> · 129043597808774240694306005868924581179_<39> · 585258399739259769722113606750730854898851508482157676530983353260023_<69>

10¹⁴³+7 =: 1(0)₁₄₂7_<144>; = 148316317 · 674234649448583597177645666592435679211209107896065137593728139837776581251002881901389177564326924326202086045596722847426153388099571_<135>

10¹⁴⁴+7 =: 1(0)₁₄₃7_<145>; = 3194941 · 53776875551665051818900193_<26> · 5820249355242859895321049902324715234694048541392726301391883070689298187610428383947727611032346068582231850739_<112>

10¹⁴⁵+7 =: 1(0)₁₄₄7_<146>; = 17 · 1009 · 3929 · 39394891777_<11> · 477416931910651_<15> · 511390429922741889025302365045693788161936117991_<48> · 15427215916891142825802140743634380478178369335569660478004794123_<65>

10¹⁴⁶+7 =: 1(0)₁₄₅7_<147>; = 29 · 53² · 446764495587903373420029428557682142369844793_<45> · 2747714531245314819750438969866350692194547651755077751108349381732372279040585603754440632263459_<97>

10¹⁴⁷+7 =: 1(0)₁₄₆7_<148>; = 19 · 419291 · 11001099610565459_<17> · 339679370808868900702877062291603908053272610389_<48> · 33591205449430429955981360140563738199896223498438992375604540419696297381833_<77>

10¹⁴⁸+7 =: 1(0)₁₄₇7_<149>; = 443 · 1549 · 25111 · 49807 · 323243 · 943577753311_<12> · 8567745445225073_<16> · 956576808850295162408479453929199_<33> · 4661194656138496317369114488348681290344876286749360613207805996803_<67>

10¹⁴⁹+7 =: 1(0)₁₄₈7_<150>; = 176399696072558200334817209_<27> · 566894400763973893133474722120391339958034565686875933978135700406312866202167420731995229801550327823681573466175605093823_<123>

10¹⁵⁰+7 =: 1(0)₁₄₉7_<151>; = 337 · 1327 · 536561 · 6837287 · 13486791026708371_<17> · 94051618766309367759260417124514097_<35> · 480530944918907032745728484488519068607873407655990750149792075397600426342561477_<81>

10¹⁵¹+7 =: 1(0)₁₅₀7_<152>; = 6358752311_<10> · 44904040161911122007937154117942613828250379_<44> · 762772608306515365541484787018631102006011845959_<48> · 45914259561857045215912890899078634274639825553717_<50>

10¹⁵²+7 =: 1(0)₁₅₁7_<153>; = 67 · 1492537313432835820895522388059701492537313432835820895522388059701492537313432835820895522388059701492537313432835820895522388059701492537313432835821_<151>

10¹⁵³+7 =: 1(0)₁₅₂7_<154>; = 47 · 3659 · 1181099 · 23723081 · 1119041815669955131946733550491753601061331849636641_<52> · 185453922645773960739971312810254989052909263532552456274018125952258731518588092521_<84>

10¹⁵⁴+7 =: 1(0)₁₅₃7_<155>; = 277 · 599 · 6899 · 7394599 · 250787753861_<12> · 806918680621_<12> · 1465503261259_<13> · 304501661092766082691_<21> · 953387170137531028574690036516267823107_<39> · 13721790417426365420565042720066283334024483_<44>

10¹⁵⁵+7 =: 1(0)₁₅₄7_<156>; = 433 · 809 · 1023259 · 2629091 · 12500748752773_<14> · 8488605758541879098940744324255173024856089364890700060455615064083379108920141650106241111904099195959405839501955318868163_<124>

10¹⁵⁶+7 =: 1(0)₁₅₅7_<157>; = 375046807493_<12> · 2666333854924666535081684879414876219566018125716113786357221015684823679267803834738346964447013533773725282907297049796513944059037477897777499_<145>

10¹⁵⁷+7 =: 1(0)₁₅₆7_<158>; = 97089257 · 10463198973605353_<17> · 9843835288526746968128351109749239754003035432160310955806955470152899593259265561534318564428709907409881431279890161155171595023767_<133>

10¹⁵⁸+7 =: 1(0)₁₅₇7_<159>; = 431 · 102253 · 8638632266830955762913949170992827_<34> · 262664683666466193638482427563399076567628422896524576161491458531460876219777548927549200236785416264226533302463287_<117> (GGNFS / Nov 14, 2006)

10¹⁵⁹+7 =: 1(0)₁₅₈7_<160>; = 53 · 112071623517499016299_<21> · 742724173649744073677_<21> · 354663760028666201445811359498151123731853622090995334671_<57> · 639122480641374580716319914410982978520319328839614482642443_<60> (GGNFS snfs / Nov 16, 2006)

10¹⁶⁰+7 =: 1(0)₁₅₉7_<161>; = 5189 · 13931 · 122227155285903457182666321837042118481_<39> · 1131791252435748089591200016536616025548232549159948520144370768984943188816711312258317968241365841533122026175233_<115> (GGNFS / Nov 15, 2006)

10¹⁶¹+7 =: 1(0)₁₆₀7_<162>; = 17 · 43 · 107 · 1358873743_<10> · 4576218744241_<13> · 59933263251581444373037_<23> · 4586022103718784119737201_<25> · 393087460187748598353908179543701451_<36> · 1902916380316718616693332081947116382356450315966191_<52>

10¹⁶²+7 =: 1(0)₁₆₁7_<163>; = 373 · 2897560744807_<13> · 284650192636237_<15> · 10547001703389742749894012224851142970616143003250831_<53> · 308189700406341423181147659113543127355444178794088410677400174480962049420222271_<81> (GGNFS / Nov 17, 2006)

10¹⁶³+7 =: 1(0)₁₆₂7_<164>; = 751 · 65793577 · 27552936913_<11> · 41544031117073918433594752857_<29> · 176807234786569338582523829881595287129675124275481575083841952162459544421538630230247564397123546438974833341401_<114> (ECM B1=1000000, Sigma=719715719 for P29 / Nov 15, 2006)

10¹⁶⁴+7 =: 1(0)₁₆₃7_<165>; = 23 · 379 · 7309 · 12698886469366937367312361817_<29> · 89521774571891440725766027916492942543621141376778475868817_<59> · 1380640691183467041940805484295021196494682231216695693196237567677271_<70> (GGNFS / Nov 18, 2006)

10¹⁶⁵+7 =: 1(0)₁₆₄7_<166>; = 19 · 1631633 · 796012396450780297_<18> · 40523233076391853015111867619989065631500514110767811102263447875923811916089505757018637402782526409683979020037283558004919427707816666053_<140>

10¹⁶⁶+7 =: 1(0)₁₆₅7_<167>; = 48353 · 1984051008811_<13> · 104237441251810653156289791770042208122535450993180979394311123750778111635815466599284223433865770704290757966095192565622487208877211417796809240629_<150>

10¹⁶⁷+7 =: 1(0)₁₆₆7_<168>; = 383 · 829 · 11591207077_<11> · 73347288818135303_<17> · 141440849542595046487975537469003983_<36> · 2767384195308432800998826640296194868680403_<43> · 946432516737087044441832532380571281421477140914013266779_<57> (ECM B1=1000000, sigma=3323369264 for P36 / Nov 15, 2006) (GGNFS gnfs for P43 x P57 / Nov 17, 2006)

10¹⁶⁸+7 =: 1(0)₁₆₇7_<169>; = 331 · 41180911 · 953501297989_<12> · 76940458115377537859708051345585965360827238354427788323471927961877436392629760725478898894798002662202474582471232876343540327921030637435010143_<146>

10¹⁶⁹+7 =: 1(0)₁₆₈7_<170>; = 4561 · 16091 · 503609 · 128461468467379650847_<21> · 2106155962695505093001715069346360184315221207513236700386114795002819476321142773526016312440391660256716403971286359994414261419856259_<136>

10¹⁷⁰+7 =: 1(0)₁₆₉7_<171>; = 1010658819109_<13> · 98945359313403424459544568357355462851849170426274626337116112108308178509244679675122223334016815873242943591052282846181052490045372352888016913980153134523_<158>

10¹⁷¹+7 =: 1(0)₁₇₀7_<172>; = 353 · 16139676313_<11> · 2503433995697_<13> · 18280520184492143617094205240248705703843689_<44> · 3835356858729892849185282132443271335225604500851042024555355541432430314460970459178772287450451105111_<103> (matsui / GGNFS-0.77.1-20060513-prescott snfs / Mar 12, 2008)

10¹⁷²+7 =: 1(0)₁₇₁7_<173>; = 53 · 191938429 · 331415043556425612418268467_<27> · 29849566288772955116003809849_<29> · 519653203407133915489828689837558457_<36> · 191222214126927932611849860371304656786463312566330254859420091542285581_<72> (ECM B1=250000, Sigma=1467982943 for P27 / Nov 15, 2006) (GGNFS gnfs for P36 x P72 / Nov 15, 2006)

10¹⁷³+7 =: 1(0)₁₇₂7_<174>; = 61 · 668699 · 890122807220353933_<18> · 175995929972916819043387_<24> · 15649012511309825472505388316361746099363635800698193677652818205000702309186144895813370088566261098434719438165593830590103_<125>

10¹⁷⁴+7 =: 1(0)₁₇₃7_<175>; = 29 · 71 · 487 · 11125843 · 11284673357060483641065406171245055689125329700802610659045727_<62> · 7943150153899727308211547689503218266715542847275764169224019083630803802075842027404310615659484239_<100> (matsui / GGNFS-0.77.1-20060513-pentium-m snfs / 154.34 hours / Jul 17, 2008)

10¹⁷⁵+7 =: 1(0)₁₇₄7_<176>; = 1201 · 5441 · 28901 · 70441799 · 375154925917_<12> · 1333564043806310437711_<22> · 1502485976925603847583984580101155149231222208011130140616598690193963689557628714059465168838561289886441284220486423176079_<124>

10¹⁷⁶+7 =: 1(0)₁₇₅7_<177>; = 99015776744790713698105723_<26> · 1009940064983240834357757158578233262841047471471785102581870740639733380128726755594775261433006081562347396788976352206388738371634774705760239169509_<151>

10¹⁷⁷+7 =: 1(0)₁₇₆7_<178>; = 17 · 9342353 · 5041134919_<10> · 1249011636987693163394754759959015301303932999255646251007083125960769664549193537874447651365609866382657290806834927276430091829975689577352474252115039214753_<160>

10¹⁷⁸+7 =: 1(0)₁₇₇7_<179>; = 9779956187_<10> · 15061360829503_<14> · 28611712108180931576351076849383_<32> · [2372766658386071479394164140981662985967236676580748175830928608025753371979903404338599883260199063087303313743132894406989_<124>] (ECM B1=1000000, sigma=1041472518 for P32 / Nov 16, 2006) SUBMIT/RESERVE

10¹⁷⁹+7 =: 1(0)₁₇₈7_<180>; = 167 · 60950560869098197619847712489744585923674505423726671_<53> · 9824395160130058065900701752890082125561413858734478820643602889430506537378449350699284748319422251954897604377774555118351_<124> (Alexander Mkrtychyan / GGNFS-0.77.1-20060513-pentium4 / 409.50 hours on Core 2 Duo 6300, Windows XP / Jun 9, 2007)

10¹⁸⁰+7 =: 1(0)₁₇₉7_<181>; = 2381 · 5114567122042767896236640437_<28> · [82116744222187701239247396329320191475040669501670793013228375159608060331142377231961661091267077960206885516004799410538536387265847283870505731831_<149>] SUBMIT/RESERVE

10¹⁸¹+7 =: 1(0)₁₈₀7_<182>; = 2812775664288307_<16> · [3555207095596874059093022653030557476400549185657127779363050711219171348248885576997941683682191594431627017939174302149042794928815879758855123596648038931988283101_<166>] SUBMIT/RESERVE

10¹⁸²+7 =: 1(0)₁₈₁7_<183>; = 43 · 344129236057839480607207_<24> · [6757872193567318388538500227189105570035047793192001207475336814931644819508615641168755976521894296865922024131000944435476099198418217948038994826090300707_<157>] SUBMIT/RESERVE

10¹⁸³+7 =: 1(0)₁₈₂7_<184>; = 19 · 16981 · 5830459 · [531594392727667336830691850424727388878314708765699464989488303529870611683042591885193296151014995877820115093245978551509568015703708769057499456448025334237114170600907_<171>] SUBMIT/RESERVE

10¹⁸⁴+7 =: 1(0)₁₈₃7_<185>; = 3623 · 14947 · 87049 · 81831577 · 27032969027_<11> · 82572781465758823_<17> · 13812625427379003182132914528083742520447_<41> · 840787078677037174391304726181032112104649288083138093961703021109819735570348848562966541610497_<96> (ECM B1=1000000, sigma=2468406548 for P41 / Nov 16, 2006)

10¹⁸⁵+7 =: 1(0)₁₈₄7_<186>; = 53 · 67 · 2273 · 12389389082941136897421929193898027646426163019829341121138119015692771894125732228381538174867058757792770865806438344267175688846935664256476212434907698431862634383057361756409_<179>

10¹⁸⁶+7 =: 1(0)₁₈₅7_<187>; = 23 · 1674321589150079_<16> · 5169259926503910472517_<22> · 10519579813202962164191587968549958338845129_<44> · 477536446524351969730209842702002079292017485236107832937025486800606023755171179378285725378006234337547_<105> (suberi / GMP-ECM 6.2.1 B1=3000000, sigma=2883945777 for P44 / Jul 2, 2008)

10¹⁸⁷+7 =: 1(0)₁₈₆7_<188>; = 1433 · 16217 · 17259661 · 24931650574780565860884190272571988275598164848466515388744762368530918217454924712055507704711123517169838415763345101005312652213714284245609685829394958435266467854717267_<173>

10¹⁸⁸+7 =: 1(0)₁₈₇7_<189>; = 919 · 546994870962230793373065729931284587933779712219_<48> · 198930436022901655488560388986742823483843042807587457103337590796061445066460085353325337124807905412409771088506395458055122523822016387_<138> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 842.87 hours / Aug 19, 2008)

10¹⁸⁹+7 =: 1(0)₁₈₈7_<190>; = 59 · 2131 · 3159054500600988812343025556881597237_<37> · [2517719943928015933161812602621927145881018065738612169370878161327571268215304182048198373665295635371013719764424373030947660451097961657183402859_<148>] (ECM B1=1000000, sigma=3073689678 for P37 / Nov 18, 2006) SUBMIT/RESERVE

10¹⁹⁰+7 =: 1(0)₁₈₉7_<191>; = 197 · 8317 · 127747 · 2829317 · 72279887 · 142368179 · 32918013164986911675034336901_<29> · 539949550351081895686956255135631_<33> · 1228769056329366897148936730013579567923_<40> · 75135865542155053300373496564980174488903912122130011293_<56> (ECM B1=1000000, sigma=3780869432 for P33, GGNFS gnfs for P40 x P56 / Nov 15, 2006)

10¹⁹¹+7 =: 1(0)₁₉₀7_<192>; = 4595914723_<10> · [21758454198367857749304892835802079785456454388612031694566322352539438099578506909559122383220076992712294936112982355699814406673881185501709318813224637806231114440980457678522509_<182>] SUBMIT/RESERVE

10¹⁹²+7 =: 1(0)₁₉₁7_<193>; = 1877 · 452165051027_<12> · 12614234731445029_<17> · [93406656662376402713194190498275614027663640661563581399052979097770968297171464401423873124027553826340968761819238386644447981797091414985572286247452523905877_<161>] SUBMIT/RESERVE

10¹⁹³+7 =: 1(0)₁₉₂7_<194>; = 17 · 11779 · 30559 · 1559059 · 2156599 · 47383631 · 4255479583_<10> · 676504403777_<12> · 5026193424803063823643_<22> · 708899865151793063035980340873387757883359765893272465927787778548700453408173030293939047176424265987933108875733561157_<120>

10¹⁹⁴+7 =: 1(0)₁₉₃7_<195>; = 9437 · 8859860882718486861679_<22> · [1196021928444236450550753786430362575544844621007096187075714114164279482592336776308221565048294022938965690271911864597915619420798934822860053817688946100169380272509_<169>] SUBMIT/RESERVE

10¹⁹⁵+7 =: 1(0)₁₉₄7_<196>; = 190543 · 1104797 · 5902139 · 10164501892429640531_<20> · 13622959367558799889_<20> · 5812427106473466514394901002406324593256169786794054156068785244634520230141898972559505267593847379033896149614813478857709466158217657517_<139>

10¹⁹⁶+7 =: 1(0)₁₉₅7_<197>; = 2877137281_<10> · 501356191012638341_<18> · [6932550363000318709754932234972722366676860410997691268742602798936711837758410095374539958904460874936401337968805513417786101973895319318666898645641909469000212615067_<169>] SUBMIT/RESERVE

10¹⁹⁷+7 =: 1(0)₁₉₆7_<198>; = 97 · 84191 · 912053 · 593828378448230781517711808413_<30> · 22609011424272050791430188377238035125604042617270740914321372779804218175409127633969761514872892428799758990731527036690765549758397284421796429484418169_<155> (Makoto Kamada / GMP-ECM 5.0.3 B1=45440, sigma=242252855)

10¹⁹⁸+7 =: 1(0)₁₉₇7_<199>; = 53 · 571 · 2311139052889_<13> · 8981676309068044990065102914772467010071_<40> · [1591858814267617896078250031041439073424924024742250415820682638458770032616911002606947871751429467343698998106474368448419328480312019748431_<142>] (ECM B1=1000000, sigma=630057262 for P40 / Nov 17, 2006) SUBMIT/RESERVE

10¹⁹⁹+7 =: 1(0)₁₉₈7_<200>; = 47 · 317 · 937 · 144005207 · 587449319 · [8467489923488383748015393693871382571541198973293077386342041917850972455728042600917611098733141289849748242918713858727104799054419363331617152109173653297177123373588445333_<175>] SUBMIT/RESERVE

10²⁰⁰+7 =: 1(0)₁₉₉7_<201>; = 263 · 463 · 953 · 174931 · 2960414563_<10> · 19969809437_<11> · 973940411159_<12> · [85554871304881673906236741879857956986265777745068824160291811708188532050382981365896551704732849176081698646674868720629221847520780705667732642190159149_<155>] SUBMIT/RESERVE

Factorizations

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