Factorizations of 322...221

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Since June 16, 2000

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Factorizations of 322...221	2008-11-29(Sat) 23:50

Last update

Nov 29, 2008 23:50 JST

Sequence

31, 321, 3221, 32221, 322221, ...

General term

(29·10ⁿ-11)/9

Room for prime numbers

upper limit of periods: 10000
upper limit of periodical factors: 4294967296
checked terms: 100000000
terms divided by periodical factors: 84073227
room for prime numbers: 15.93%

Prime numbers

(29·10¹-11)/9 = 31 is prime. (Makoto Kamada / Dec 1, 2004)
(29·10³-11)/9 = 3221 is prime. (Makoto Kamada / Dec 1, 2004)
(29·10⁶-11)/9 = 3222221 is prime. (Makoto Kamada / Dec 1, 2004)
(29·10¹²-11)/9 = 3(2)₁₁1_<13> is prime. (Makoto Kamada / Dec 1, 2004)
(29·10⁴⁰⁸-11)/9 = 3(2)₄₀₇1_<409> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PPSIQS / Jan 2, 2005)
(29·10⁶⁴⁹-11)/9 = 3(2)₆₄₈1_<650> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
(29·10⁹⁴⁹-11)/9 = 3(2)₉₄₈1_<950> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
(29·10⁹⁶³-11)/9 = 3(2)₉₆₂1_<964> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
(29·10¹⁰⁰⁵-11)/9 = 3(2)₁₀₀₄1_<1006> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 14, 2006)
(29·10²⁷⁰⁰-11)/9 = 3(2)₂₆₉₉1_<2701> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)

Searched:

1-10000

References:

A102966 (On-Line Encyclopedia of Integer Sequences)

Condition

n≤205

Status

Completed up to n=100. (Dec 1, 2004)
Completed up to n=150. (Nov 15, 2008)
The following numbers are not factored yet. (n≤205)
n= 168, 169, 170, 171, 173, 174, 175, 180, 181, 184, 186, 187, 188, 189, 194, 195, 196, 197, 199, 200, 202, 203, 205 (23/205)

Factorization results

(29·10¹-11)/9 =: 31; = definitely prime number

(29·10²-11)/9 =: 321; = 3 · 107

(29·10³-11)/9 =: 3221; = definitely prime number

(29·10⁴-11)/9 =: 32221; = 7 · 4603

(29·10⁵-11)/9 =: 322221; = 3 · 19 · 5653

(29·10⁶-11)/9 =: 3222221; = definitely prime number

(29·10⁷-11)/9 =: 32222221; = 1567 · 20563

(29·10⁸-11)/9 =: 322222221; = 3² · 35802469

(29·10⁹-11)/9 =: 3222222221_<10>; = 223 · 347 · 41641

(29·10¹⁰-11)/9 =: 32222222221_<11>; = 7 · 53 · 86852351

(29·10¹¹-11)/9 =: 322222222221_<12>; = 3 · 673 · 159594959

(29·10¹²-11)/9 =: 3222222222221_<13>; = definitely prime number

(29·10¹³-11)/9 =: 32222222222221_<14>; = 233 · 138292799237_<12>

(29·10¹⁴-11)/9 =: 322222222222221_<15>; = 3 · 17 · 733 · 8619485387_<10>

(29·10¹⁵-11)/9 =: 3222222222222221_<16>; = 1487 · 2129 · 3181 · 319967

(29·10¹⁶-11)/9 =: 32222222222222221_<17>; = 7 · 31 · 5927 · 25053062819_<11>

(29·10¹⁷-11)/9 =: 322222222222222221_<18>; = 3³ · 11934156378600823_<17>

(29·10¹⁸-11)/9 =: 3222222222222222221_<19>; = 83 · 311 · 151531 · 823788107

(29·10¹⁹-11)/9 =: 32222222222222222221_<20>; = 23 · 751 · 9791 · 432557 · 440471

(29·10²⁰-11)/9 =: 322222222222222222221_<21>; = 3 · 61 · 1760777170613236187_<19>

(29·10²¹-11)/9 =: 3222222222222222222221_<22>; = 1613 · 1997657918302679617_<19>

(29·10²²-11)/9 =: 32222222222222222222221_<23>; = 7 · 139 · 6857 · 26633 · 181337828017_<12>

(29·10²³-11)/9 =: 322222222222222222222221_<24>; = 3 · 19 · 53 · 4657 · 596341 · 38406422573_<11>

(29·10²⁴-11)/9 =: 3222222222222222222222221_<25>; = 160483 · 2716709 · 7390661859043_<13>

(29·10²⁵-11)/9 =: 32222222222222222222222221_<26>; = 131 · 787 · 312542772556158008693_<21>

(29·10²⁶-11)/9 =: 322222222222222222222222221_<27>; = 3² · 839 · 1249 · 1662949051_<10> · 20545165129_<11>

(29·10²⁷-11)/9 =: 3222222222222222222222222221_<28>; = 131797 · 267781 · 646913 · 141131619781_<12>

(29·10²⁸-11)/9 =: 32222222222222222222222222221_<29>; = 7 · 1297 · 220111352129_<12> · 16124083210331_<14>

(29·10²⁹-11)/9 =: 322222222222222222222222222221_<30>; = 3 · 1151 · 106083259 · 879654354335809123_<18>

(29·10³⁰-11)/9 =: 3222222222222222222222222222221_<31>; = 17 · 47 · 443 · 28099 · 37219463 · 8704503730469_<13>

(29·10³¹-11)/9 =: 32222222222222222222222222222221_<32>; = 31 · 164701 · 6310990967252724873719791_<25>

(29·10³²-11)/9 =: 322222222222222222222222222222221_<33>; = 3 · 9341 · 1085832080761_<13> · 10589566768537907_<17>

(29·10³³-11)/9 =: 3222222222222222222222222222222221_<34>; = 127 · 499 · 3701959 · 3945101 · 3481460652346003_<16>

(29·10³⁴-11)/9 =: 32222222222222222222222222222222221_<35>; = 7² · 2229598813913_<13> · 294939326204604757733_<21>

(29·10³⁵-11)/9 =: 322222222222222222222222222222222221_<36>; = 3² · 97 · 6143 · 60084261754310025384357468539_<29>

(29·10³⁶-11)/9 =: 3222222222222222222222222222222222221_<37>; = 53 · 1033 · 4523 · 14417878157_<11> · 902508619847078239_<18>

(29·10³⁷-11)/9 =: 32222222222222222222222222222222222221_<38>; = 9950320307021_<13> · 3238310047113362509691201_<25>

(29·10³⁸-11)/9 =: 322222222222222222222222222222222222221_<39>; = 3 · 10403467 · 606810447543841_<15> · 17013869224984781_<17>

(29·10³⁹-11)/9 =: 3222222222222222222222222222222222222221_<40>; = 28679433546840319_<17> · 112353063632151900108659_<24>

(29·10⁴⁰-11)/9 =: 32222222222222222222222222222222222222221_<41>; = 7 · 6607 · 7667561843_<10> · 12422943073_<11> · 7314276250515911_<16>

(29·10⁴¹-11)/9 =: 322222222222222222222222222222222222222221_<42>; = 3 · 19 · 23 · 59 · 401 · 12421 · 66949 · 12492684044671528862375201_<26>

(29·10⁴²-11)/9 =: 3222222222222222222222222222222222222222221_<43>; = 397 · 8116428771340610131542121466554715924993_<40>

(29·10⁴³-11)/9 =: 32222222222222222222222222222222222222222221_<44>; = 191 · 84713 · 12804132283_<11> · 155532770062016732004521089_<27>

(29·10⁴⁴-11)/9 =: 322222222222222222222222222222222222222222221_<45>; = 3⁴ · 1223 · 2909 · 2346203 · 476578784772501010739437300021_<30>

(29·10⁴⁵-11)/9 =: 3222222222222222222222222222222222222222222221_<46>; = 149 · 1543 · 8011 · 341729 · 6278663 · 1792970089_<10> · 454772828221891_<15>

(29·10⁴⁶-11)/9 =: 32222222222222222222222222222222222222222222221_<47>; = 7 · 17 · 31 · 283 · 3491 · 741137 · 11929220156868344140287778407749_<32>

(29·10⁴⁷-11)/9 =: 322222222222222222222222222222222222222222222221_<48>; = 3 · 113 · 3607 · 1419843226135586723_<19> · 185596274410309377606899_<24>

(29·10⁴⁸-11)/9 =: 3222222222222222222222222222222222222222222222221_<49>; = 1468666375489801044595873_<25> · 2193978343888760534580077_<25>

(29·10⁴⁹-11)/9 =: 32222222222222222222222222222222222222222222222221_<50>; = 53 · 677 · 48847 · 49549289 · 371035639182326815444445964983027_<33>

(29·10⁵⁰-11)/9 =: 322222222222222222222222222222222222222222222222221_<51>; = 3 · 227291578159_<12> · 7773283575478139_<16> · 60791992545054549174707_<23>

(29·10⁵¹-11)/9 =: 3222222222222222222222222222222222222222222222222221_<52>; = 1070921 · 14899831631_<11> · 11506548156060911_<17> · 17549778251266089061_<20>

(29·10⁵²-11)/9 =: 32222222222222222222222222222222222222222222222222221_<53>; = 7 · 769 · 34301 · 49212661 · 3546071421906271267443640848710281067_<37>

(29·10⁵³-11)/9 =: 322222222222222222222222222222222222222222222222222221_<54>; = 3² · 4159 · 156434130639391289_<18> · 55029117191277686777459898074419_<32>

(29·10⁵⁴-11)/9 =: 3222222222222222222222222222222222222222222222222222221_<55>; = 25841 · 425562174838349735779727_<24> · 293010479207437795864178003_<27>

(29·10⁵⁵-11)/9 =: 32222222222222222222222222222222222222222222222222222221_<56>; = 107 · 4354099 · 69162934457642370785030622593977573995296815997_<47>

(29·10⁵⁶-11)/9 =: 322222222222222222222222222222222222222222222222222222221_<57>; = 3 · 97025135747_<11> · 1107005999841937097283919220893841058811287781_<46>

(29·10⁵⁷-11)/9 =: 3222222222222222222222222222222222222222222222222222222221_<58>; = 163 · 497659 · 39722449492847255910112523796195655817867133948413_<50>

(29·10⁵⁸-11)/9 =: 32222222222222222222222222222222222222222222222222222222221_<59>; = 7 · 2751246427_<10> · 1673123337117414518900590871416914765012132663889_<49>

(29·10⁵⁹-11)/9 =: 322222222222222222222222222222222222222222222222222222222221_<60>; = 3 · 19 · 83 · 49553769708217888969553_<23> · 1374440178401998381990408281260647_<34>

(29·10⁶⁰-11)/9 =: 3222222222222222222222222222222222222222222222222222222222221_<61>; = 4289 · 4397 · 461691787 · 679740343 · 298084650191_<12> · 1826451601922384917576027_<25>

(29·10⁶¹-11)/9 =: 32222222222222222222222222222222222222222222222222222222222221_<62>; = 31 · 31259 · 538777796399389_<15> · 61717599297821741754619139562959740991741_<41>

(29·10⁶²-11)/9 =: 322222222222222222222222222222222222222222222222222222222222221_<63>; = 3² · 17 · 53 · 181 · 17183 · 51516113258560530206353_<23> · 248009052835931466093597152051_<30>

(29·10⁶³-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222221_<64>; = 23 · 3347 · 4801 · 44257 · 1081027 · 33794508898741_<14> · 5392319066867887749340099749959_<31>

(29·10⁶⁴-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222221_<65>; = 7 · 12972293 · 6903120356891669798687_<22> · 51403803370260524171630796994438033_<35>

(29·10⁶⁵-11)/9 =: 322222222222222222222222222222222222222222222222222222222222222221_<66>; = 3 · 151 · 4099 · 173531918473747283552291719362027254923115486748354722937443_<60>

(29·10⁶⁶-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222222221_<67>; = 29837 · 77977 · 11989284267683527227091_<23> · 115515577611379002325834869465388819_<36>

(29·10⁶⁷-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222222221_<68>; = 17839 · 167429 · 8083919 · 18748051168009_<14> · 71182988337554039095715623072360141921_<38>

(29·10⁶⁸-11)/9 =: 322222222222222222222222222222222222222222222222222222222222222222221_<69>; = 3 · 139 · 1711218890994555488823838988543_<31> · 451558339655349417183534881380051091_<36>

(29·10⁶⁹-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222222222221_<70>; = 183397 · 3651463 · 5937499 · 364996737623799097_<18> · 2220259948491349040098448959556837_<34>

(29·10⁷⁰-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222222222221_<71>; = 7 · 14341230401_<11> · 320974872759427134079356780231021627988917392693564548123403_<60>

(29·10⁷¹-11)/9 =: 322222222222222222222222222222222222222222222222222222222222222222222221_<72>; = 3³ · 49325467545029808980376721151_<29> · 241947151696149438848068715610313999636873_<42>

(29·10⁷²-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222222222222221_<73>; = 2023148542081_<13> · 28714239193489_<14> · 55466454280435391475866521909683750843640167869_<47>

(29·10⁷³-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222222222222221_<74>; = 80387 · 92396561 · 48348094199028551_<17> · 5183547282976858307_<19> · 17310413256908669235390979_<26>

(29·10⁷⁴-11)/9 =: 322222222222222222222222222222222222222222222222222222222222222222222222221_<75>; = 3 · 100495089413_<12> · 1226836685601697_<16> · 871169453030919469054910739358702685662542971587_<48>

(29·10⁷⁵-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222222222222222221_<76>; = 53 · 127 · 733 · 857 · 3603883 · 98302413008092576693313_<23> · 2151078401656642268384722853410612609_<37>

(29·10⁷⁶-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222222222222222221_<77>; = 7² · 31 · 47 · 409 · 11197 · 51676673 · 5086306025473_<13> · 374953868144454259909244042025560419322154841_<45>

(29·10⁷⁷-11)/9 =: 322222222222222222222222222222222222222222222222222222222222222222222222222221_<78>; = 3 · 19 · 227 · 11933071 · 15515966407_<11> · 29455340271150080891_<20> · 4566249905197515121255166219976662557_<37>

(29·10⁷⁸-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222222222222222222221_<79>; = 17 · 167 · 3133750862278532623_<19> · 70806340710097669139_<20> · 5115092348819243348890570243992176887_<37>

(29·10⁷⁹-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222222222222222222221_<80>; = 9479 · 6588374855106224071559_<22> · 515958372499488430115015865875726609043325051984840861_<54>

(29·10⁸⁰-11)/9 =: 322222222222222222222222222222222222222222222222222222222222222222222222222222221_<81>; = 3² · 61 · 1531 · 1313748487_<10> · 20512418862137_<14> · 14225870411760168760904538148724348610050773759451461_<53>

(29·10⁸¹-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222222222222222222222221_<82>; = 829 · 104809559325580735711_<21> · 37085151960729000515420146641725289705675368011695283708559_<59>

(29·10⁸²-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222222222222222222222221_<83>; = 7 · 1693 · 33029031199_<11> · 328332298512686789_<18> · 250721194433571986508092561044140616608702256088261_<51>

(29·10⁸³-11)/9 =: 322222222222222222222222222222222222222222222222222222222222222222222222222222222221_<84>; = 3 · 781681 · 348360336262189_<15> · 24803042028231428921606164871_<29> · 15902705911024494211814152338549613_<35>

(29·10⁸⁴-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<85>; = 193 · 287497589 · 833217734102777_<15> · 115265504571675466206941_<24> · 604652860668627977019025278414249589_<36>

(29·10⁸⁵-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<86>; = 23 · 5471 · 450752165071326709_<18> · 11900426170121004296956028527_<29> · 47737602283364893678297499296139359_<35>

(29·10⁸⁶-11)/9 =: 322222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<87>; = 3 · 528980889250777051221915871_<27> · 203045912602880729368266711509583920614364589102885164765617_<60>

(29·10⁸⁷-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<88>; = 13209461 · 370652371 · 658117757041398938602280588964632685694107690863052604614793404307895491_<72>

(29·10⁸⁸-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<89>; = 7 · 53 · 63299 · 37240568920648730209090439_<26> · 36844139904565802894999323622061199434758607874021714691_<56>

(29·10⁸⁹-11)/9 =: 322222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<90>; = 3² · 1093 · 68209 · 3429503239175469086689236949_<28> · 140029622242903735784034652713505005894713131812722413_<54>

(29·10⁹⁰-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<91>; = 267971871467_<12> · 7431073221123742408753_<22> · 1618134951052348807326201787726699497800685559716741026071_<58>

(29·10⁹¹-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<92>; = 31 · 853 · 319687 · 95724308488487641349_<20> · 39819660195955263875463835025070576375463310640354177409555469_<62>

(29·10⁹²-11)/9 =: 322222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<93>; = 3 · 41704739 · 5734354240211_<13> · 496966920655743793324750482757660403_<36> · 903726102212955014944268840235194461_<36> (Makoto Kamada / msieve 0.81 / 4.2 minutes)

(29·10⁹³-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<94>; = 4615636086617_<13> · 698110111315974377174991614255537821927531265534207332520542283076570875385078613_<81>

(29·10⁹⁴-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<95>; = 7 · 17 · 189169 · 52392133 · 2888044267_<10> · 9459945479626598870098412191145512620018520985110472300622180610163501_<70>

(29·10⁹⁵-11)/9 =: 322222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<96>; = 3 · 19 · 5653021442495126705653021442495126705653021442495126705653021442495126705653021442495126705653_<94>

(29·10⁹⁶-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<97>; = 2027 · 1589650824973962615797840267499862961135778106671051910321767253193005536370114564490489502823_<94>

(29·10⁹⁷-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<98>; = 109 · 295616717635066258919469928644240570846075433231396534148827726809378185524974515800203873598369_<96>

(29·10⁹⁸-11)/9 =: 322222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<99>; = 3³ · 139301 · 4148279 · 8640337 · 3906798899_<10> · 247027701133_<12> · 12471867868221397211830217_<26> · 198582345534910397996342020175059_<33>

(29·10⁹⁹-11)/9 =: 3222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<100>; = 59 · 21922007 · 90381880877848391498090380734527_<32> · 27563971349023048747865349137504401298853184807681372571071_<59> (Makoto Kamada / GGNFS-0.70.5 / 0.80 hours)

(29·10¹⁰⁰-11)/9 =: 32222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222221_<101>; = 7 · 83 · 1527709 · 1080746880089991089_<19> · 89467492418656667405707968122851_<32> · 375447713052945036770851672798904542422991_<42> (Makoto Kamada / msieve 0.81 / 7.7 minutes)

(29·10¹⁰¹-11)/9 =: 3(2)₁₀₀1_<102>; = 3 · 53 · 7717 · 57467 · 88312819321_<11> · 580434932953_<12> · 89148501259005491791876490042366683720259503745055363043065848066117_<68>

(29·10¹⁰²-11)/9 =: 3(2)₁₀₁1_<103>; = 2086989367377430338068718358517067554766449659_<46> · 1543957181857307441236327584868144774614328996585231159319_<58> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 0.32 hours on Core 2 Quad Q6700 / Nov 13, 2008)

(29·10¹⁰³-11)/9 =: 3(2)₁₀₂1_<104>; = 26042266802856807831656958190462844209_<38> · 1237304819359560517371280897725082910678283633399794566410902570269_<67> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 0.49 hours on Core 2 Quad Q6700 / Nov 13, 2008)

(29·10¹⁰⁴-11)/9 =: 3(2)₁₀₃1_<105>; = 3 · 3449 · 31141608410381967934881822965325429807888491564919515049987650741492434736853408932272370950248595943_<101>

(29·10¹⁰⁵-11)/9 =: 3(2)₁₀₄1_<106>; = 18899 · 355001715228109644473216777_<27> · 87730364161858872409543212197_<29> · 5474396886068017081148851763893906001291822491_<46>

(29·10¹⁰⁶-11)/9 =: 3(2)₁₀₅1_<107>; = 7 · 31 · 2389068916130485424117_<22> · 62153712823285861233049416977816653218620766915430043031176609830847042850938555489_<83>

(29·10¹⁰⁷-11)/9 =: 3(2)₁₀₆1_<108>; = 3² · 23 · 4219 · 1416497 · 34630753 · 11367101891_<11> · 101089234693_<12> · 5691672463549114241_<19> · 1150014886639259970569337501930796469831695142279_<49>

(29·10¹⁰⁸-11)/9 =: 3(2)₁₀₇1_<109>; = 107 · 1229 · 2214589411_<10> · 6689543074515545450861_<22> · 1653979621408021762804986411955364745957600391335979496482596877204978117_<73>

(29·10¹⁰⁹-11)/9 =: 3(2)₁₀₈1_<110>; = 293 · 691 · 1117 · 142480899301742825033712614391999863764677222132191489834126139555661298000629066927193678878727637551_<102>

(29·10¹¹⁰-11)/9 =: 3(2)₁₀₉1_<111>; = 3 · 17 · 6056305198193_<13> · 883580235428526698762899_<24> · 6077733234543766266418632947_<28> · 194262929225445441098295529189270826565486199_<45>

(29·10¹¹¹-11)/9 =: 3(2)₁₁₀1_<112>; = 577 · 35339 · 6075794047_<10> · 31180577689_<11> · 834138598770194258235184466888871503830071483605061549841855752663361987304957519329_<84>

(29·10¹¹²-11)/9 =: 3(2)₁₁₁1_<113>; = 7 · 25183 · 42623589369304135120774617930199_<32> · 4288446176859474104734338555208678726328744931833395919458818562976729123059_<76> (Serge Batalov / Msieve-1.38 snfs / 0.40 hours on Opteron-2.6GHz; Linux x86_64 / Nov 13, 2008)

(29·10¹¹³-11)/9 =: 3(2)₁₁₂1_<114>; = 3 · 19 · 5474585923_<10> · 43577516506859775073_<20> · 23695554733129681181336411091482792277760492144246472476797048968324242678607256007_<83>

(29·10¹¹⁴-11)/9 =: 3(2)₁₁₃1_<115>; = 53 · 139 · 57030829 · 821726051706199_<15> · 32795524606340009_<17> · 320824206376952800064488471_<27> · 887046460177182158238777392171980132662432527_<45>

(29·10¹¹⁵-11)/9 =: 3(2)₁₁₄1_<116>; = 491 · 49464953330747879_<17> · 521485095599320202335987001799276507049523_<42> · 2544101840587878969578582280072469936142006701535179643_<55> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 0.82 hours / Nov 13, 2008)

(29·10¹¹⁶-11)/9 =: 3(2)₁₁₅1_<117>; = 3² · 9688360407028247869586928337915901923_<37> · 3695410537146224236337805119314202453465253249831680260806032183583448457242903_<79> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 2.34 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 13, 2008)

(29·10¹¹⁷-11)/9 =: 3(2)₁₁₆1_<118>; = 127 · 1782527232461_<13> · 4553468733578991760986408024122748403_<37> · 3125886718200121590683661018583279104542738986002111542287194104581_<67> (Serge Batalov / Msieve-1.38 snfs / 0.90 hours on Opteron-2.6GHz; Linux x86_64 / Nov 14, 2008)

(29·10¹¹⁸-11)/9 =: 3(2)₁₁₇1_<119>; = 7² · 1783 · 8791755381953_<13> · 16265156725388180254811666957299274188190461943863_<50> · 2579135842593250281246313099668077876980060807295117_<52> (Robert Backstrom / GGNFS+Msieve / 1.25 hours / Nov 14, 2008)

(29·10¹¹⁹-11)/9 =: 3(2)₁₁₈1_<120>; = 3 · 383 · 967 · 1181 · 245560827422210665926460979259557654615605043224189676994594262980831399793093850795170249052008890507402318227_<111>

(29·10¹²⁰-11)/9 =: 3(2)₁₁₉1_<121>; = 929 · 3529 · 93603969731_<11> · 15773947874373735667035781810915813703050741501_<47> · 665661512203010225589354648368830774478561194130089746851_<57> (Serge Batalov / Msieve-1.38 snfs / 1.10 hours on Opteron-2.6GHz; Linux x86_64 / Nov 13, 2008)

(29·10¹²¹-11)/9 =: 3(2)₁₂₀1_<122>; = 31 · 1039426523297491039426523297491039426523297491039426523297491039426523297491039426523297491039426523297491039426523297491_<121>

(29·10¹²²-11)/9 =: 3(2)₁₂₁1_<123>; = 3 · 47 · 811 · 3944881 · 714301586369749882182859824139553897474836437061245665455633170535833711765018723629240328263424704169181298291_<111>

(29·10¹²³-11)/9 =: 3(2)₁₂₂1_<124>; = 44531 · 55416121147_<11> · 1152039134417275495691_<22> · 1239353561830811759723_<22> · 231866904578853852784139_<24> · 3944170684864417195865959774442156709011039_<43>

(29·10¹²⁴-11)/9 =: 3(2)₁₂₃1_<125>; = 7 · 50091271 · 40363075974930714377108729_<26> · 18249620940906744369260499117790083340667_<41> · 124754808339746480688040731128208190032343004178751_<51> (Sinkiti Sibata / Msieve 1.38 for P41 x P51 / 1.08 hours, 1.51 hours / Nov 13, 2008)

(29·10¹²⁵-11)/9 =: 3(2)₁₂₄1_<126>; = 3⁴ · 61774771229_<11> · 64396064073690789975527479757859821581807917553513069559689545921015258249089029645074108611075279849863911029729_<113>

(29·10¹²⁶-11)/9 =: 3(2)₁₂₅1_<127>; = 17 · 68821 · 138251 · 5328914699623381_<16> · 233996403336017578180230354403_<30> · 15976047985794772532160692539579394636482979566634985771183646594254821_<71> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2411069237 for P30 / Nov 7, 2008)

(29·10¹²⁷-11)/9 =: 3(2)₁₂₆1_<128>; = 53 · 2070737 · 87683177 · 110869756429_<12> · 84607104219193_<14> · 95070682214954468326311130551196839108947_<41> · 3754670784430775196082684395797432868827232127_<46> (Robert Backstrom / Msieve 1.38 for P41 x P46 / 0.46 hours / Nov 13, 2008)

(29·10¹²⁸-11)/9 =: 3(2)₁₂₇1_<129>; = 3 · 2560764391879_<13> · 195630407555737641475441597959544100446483683136103342557_<57> · 214401713467205088259322269652181056024814754718303452106669_<60> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 7.51 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Nov 13, 2008)

(29·10¹²⁹-11)/9 =: 3(2)₁₂₈1_<130>; = 23 · 1213 · 1447 · 723389347 · 14136908388814870635901620792537073_<35> · 7804979522579487282216412714267347177075015773931605314775746515999118728496747_<79> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 4.61 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 14, 2008)

(29·10¹³⁰-11)/9 =: 3(2)₁₂₉1_<131>; = 7 · 661 · 12490000153_<11> · 84078455171865397847467760865288765955666013538007_<50> · 6631454921038865667129918457268982086762167608648817336351681684513_<67> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 4.00 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 14, 2008)

(29·10¹³¹-11)/9 =: 3(2)₁₃₀1_<132>; = 3 · 19² · 97 · 269 · 1523 · 56817259 · 17995042551372841939533353574619370418923120791_<47> · 7322678345243243790674472867484716011829823748915723894088465209557_<67> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 5.68 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 14, 2008)

(29·10¹³²-11)/9 =: 3(2)₁₃₁1_<133>; = 1104974417_<10> · 832689448153946153171357026481_<30> · 80414506743700883354190522171791_<32> · 43549763580334770575095184643964731287732358444855048847732003_<62> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=3245482761 for P30 / Nov 7, 2008) (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1855890600 for P32 / Nov 13, 2008)

(29·10¹³³-11)/9 =: 3(2)₁₃₂1_<134>; = 863 · 170987851 · 8577735603257086524693823847_<28> · 25456974239387198592787952114117648678056301080850549719902210561172396702056073351493049317311_<95>

(29·10¹³⁴-11)/9 =: 3(2)₁₃₃1_<135>; = 3² · 1087 · 80093771 · 4010408513071_<13> · 102540653214598694715477349022662035052431934428761380361038950383716797640979052081120620560059330267721992607_<111>

(29·10¹³⁵-11)/9 =: 3(2)₁₃₄1_<136>; = 179 · 659 · 31316843 · 253369663 · 434835223 · 1266707812350199_<16> · 25391483595754174360559_<23> · 246147376887285627582609306223694520864823555547046879441085005171503_<69>

(29·10¹³⁶-11)/9 =: 3(2)₁₃₅1_<137>; = 7 · 31 · 733 · 1356610666818420157_<19> · 778269330892328300242922841001_<30> · 191869805722451403831695560200269209191516270374138539136535159919522979621293290373_<84> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2088296788 for P30 / Nov 7, 2008)

(29·10¹³⁷-11)/9 =: 3(2)₁₃₆1_<138>; = 3 · 720703 · 175418193893329959997_<21> · 833113457520160415741_<21> · 4775676152509569129014103327365320999_<37> · 213532630462205808407077683016256587935549400085341903_<54> (Sinkiti Sibata / Msieve 1.38 for P37 x P54 / 2.66 hours / Nov 13, 2008)

(29·10¹³⁸-11)/9 =: 3(2)₁₃₇1_<139>; = 163 · 191 · 53591 · 15463122908501011867111_<23> · 37790779259699711501744662535598103375993317541545193_<53> · 3304909721696979379133654104517864011655110436713126409_<55> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 16.18 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Nov 14, 2008)

(29·10¹³⁹-11)/9 =: 3(2)₁₃₈1_<140>; = 60577859 · 281767272770529021750867390333886008734104756792620853_<54> · 1887778432180578846158888755050078279456816964415040725088239206457139407989523_<79> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 14.17 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Nov 14, 2008)

(29·10¹⁴⁰-11)/9 =: 3(2)₁₃₉1_<141>; = 3 · 53 · 61 · 151 · 220014640836340895540007348489003933785911036245439532731388449428610597680393228374210915593962525133827698644580838348339469845134729_<135>

(29·10¹⁴¹-11)/9 =: 3(2)₁₄₀1_<142>; = 83 · 263 · 397 · 12804731909514238216319764752004572447961_<41> · 29037595469567804574615307737073820889361614690525154000942625597804357574692524096735208662997_<95> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 16.98 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Nov 14, 2008)

(29·10¹⁴²-11)/9 =: 3(2)₁₄₁1_<143>; = 7 · 17 · 351229883 · 5178567259_<10> · 255467237901787825132567_<24> · 45143496014853321725780216738462753_<35> · 12908537643623924412394518260364827954583231327679114647926028197_<65> (Sinkiti Sibata / Msieve 1.38 for P35 x P65 / 15.56 hours / Nov 15, 2008)

(29·10¹⁴³-11)/9 =: 3(2)₁₄₂1_<144>; = 3² · 55609 · 650194896647_<12> · 49601553764603257081180178639_<29> · 19963149370395087218618406884095522956660197163751691004313055465057107836836733450054143544625477_<98>

(29·10¹⁴⁴-11)/9 =: 3(2)₁₄₃1_<145>; = 751 · 215399 · 6960341 · 902050381 · 1305368815753_<13> · 2430397578926771630920233798878046678934801292734094775281986566148136569274649704511764052420636050407553933_<109>

(29·10¹⁴⁵-11)/9 =: 3(2)₁₄₄1_<146>; = 503 · 5701 · 17491 · 33713 · 221709130896523847_<18> · 135401502323718758207541890954286813529_<39> · 634771412258360352784225937469269688580613867062470480811701781026293841083_<75> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 18.25 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Nov 14, 2008)

(29·10¹⁴⁶-11)/9 =: 3(2)₁₄₅1_<147>; = 3 · 50273 · 138763 · 36977657 · 9004587732482969505971_<22> · 638118635528783892084664827691_<30> · 72463799162852949598093697721204060087373758930124068836329063741683457726309_<77> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=3893756692 for P30 / Nov 8, 2008)

(29·10¹⁴⁷-11)/9 =: 3(2)₁₄₆1_<148>; = 15227 · 1590949 · 16431167000761097086608455694019255023550612169609099680183_<59> · 8094992916345143796027360708747750051847185126894636439636003383767537995429069_<79> (Serge Batalov / Msieve-1.38 snfs / 10.00 hours on Opteron-2.8GHz; Linux x86_64 / Nov 13, 2008)

(29·10¹⁴⁸-11)/9 =: 3(2)₁₄₇1_<149>; = 7 · 2411 · 22063 · 568250231 · 152284622875230074741065355820202392300794935843720255415401328753261354219277984246433325097258373345772466426686704742540378108041_<132>

(29·10¹⁴⁹-11)/9 =: 3(2)₁₄₈1_<150>; = 3 · 19 · 896682499 · 1924236157_<10> · 5248520098513_<13> · 12691370501347_<14> · 157903305917839733740017637_<27> · 129195030083248913958986076687342108857_<39> · 2411021876521509839452958184061867819829_<40> (Makoto Kamada / Msieve 1.38 for P39 x P40 / 9.9 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Nov 10, 2008)

(29·10¹⁵⁰-11)/9 =: 3(2)₁₄₉1_<151>; = 947819 · 46909028923_<11> · 72472565517041652254416679532358886330173787696979965940278168561141835632621651800817755247748696257278055847045078359112782193892933_<134>

(29·10¹⁵¹-11)/9 =: 3(2)₁₅₀1_<152>; = 23 · 31 · 5783540629_<10> · 6030710732056972996146796583655799_<34> · 1295697647062495140482578388904535513056221855990277044863111841403601357591160208257520544152967493582327_<106> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1393290503 for P34 / Nov 13, 2008)

(29·10¹⁵²-11)/9 =: 3(2)₁₅₁1_<153>; = 3³ · 977 · 1307 · 94219 · 548062798963_<12> · 22854258046007_<14> · 4717553768781855497144740383059502295079_<40> · 1678683310635184185657719324978438526481246512191333254586664692875578138677_<76> (Sinkiti Sibata / Msieve / 27.99 hours / Nov 16, 2008)

(29·10¹⁵³-11)/9 =: 3(2)₁₅₂1_<154>; = 53 · 1916921 · 794286653 · 179960253364535182856090133804477727808273167171138429030663_<60> · 221881729778503414210444550530112268200498799466442770208768757814706434720003_<78> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 42.37 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Nov 16, 2008)

(29·10¹⁵⁴-11)/9 =: 3(2)₁₅₃1_<155>; = 7 · 8807 · 522672261062178173566841671758215416668919564343658813966523742838038284841963733754354851209625820730623728239261337932849230680501260721540044805629_<150>

(29·10¹⁵⁵-11)/9 =: 3(2)₁₅₄1_<156>; = 3 · 131 · 1006525331129_<13> · 344455311610031123_<18> · 14147373572305076507_<20> · 167158906402976522496454151210227606324251566514690219474473868981510447323490561819775400157566506345613_<105>

(29·10¹⁵⁶-11)/9 =: 3(2)₁₅₅1_<157>; = 595877 · 33067975599667_<14> · 583036481857549_<15> · 44705744025044195944187429_<26> · 1841104617768553066539921824820814632819354673_<46> · 3407640197035790755600685336333428103580485026012643_<52> (Jo Yeong Uk / Msieve 1.32 for P46 x P52 / 4.01 hours on Core 2 Quad Q6600,Windows Vista(tm) Ultimate K x64 / Nov 14, 2008)

(29·10¹⁵⁷-11)/9 =: 3(2)₁₅₆1_<158>; = 59 · 32933 · 3817778803_<10> · 4343715977685104751918479433532137897673810556507675104888975455752998585831878525331655315895235793043641631092373160670771707169218570142281_<142>

(29·10¹⁵⁸-11)/9 =: 3(2)₁₅₇1_<159>; = 3 · 17 · 599 · 3320365643961975314499641_<25> · 3113310324647811275855004400415874517_<37> · 1020352344078143226664091214916101776213040500244838288298165298571081699060386378588779843357_<94> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2684999099 for P37 / Nov 21, 2008)

(29·10¹⁵⁹-11)/9 =: 3(2)₁₅₈1_<160>; = 113 · 127 · 439 · 647 · 2930064630617_<13> · 19376489485924470209262041162989_<32> · 13923622050520029560513560197456375374993934656664684892227903781263511730077220792928335238140859671738599_<107> (Robert Backstrom / GMP-ECM 6.2.1 B1=800000, sigma=2305516098 for P32 / Nov 21, 2008)

(29·10¹⁶⁰-11)/9 =: 3(2)₁₅₉1_<161>; = 7² · 139 · 40847 · 18253128602341254198842821893661_<32> · 6345226497718938510286061285419885351058760601004217059723600188850418274067433346695714840225752101329620685997274617133_<121> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=1339839377 for P32 / Nov 8, 2008)

(29·10¹⁶¹-11)/9 =: 3(2)₁₆₀1_<162>; = 3² · 107 · 12829059953513_<14> · 378530381329301986746325121_<27> · 2546623150563877412685398371793679334001_<40> · 27056333382115000182457185576833611392251799115728017548960989369903042621465479_<80> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 55.10 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Nov 29, 2008)

(29·10¹⁶²-11)/9 =: 3(2)₁₆₁1_<163>; = 893147 · 19471057 · 746734138448512777471322756059_<30> · 46463222638182568129303288420608644739547623874362397_<53> · 5340324918609786317635870057618451405996157273164823665163903114313_<67> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3179040063 for P30 / Nov 13, 2008) (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.38 snfs / 42.18 hours, 2.54 hours / Nov 27, 2008)

(29·10¹⁶³-11)/9 =: 3(2)₁₆₂1_<164>; = 229 · 4889505560917949_<16> · 28777632468238108489285358594874003328599294113620228803638651319434158129607020268090998618490675668832153179609466324780658927114753336932563901_<146>

(29·10¹⁶⁴-11)/9 =: 3(2)₁₆₃1_<165>; = 3 · 5119 · 21263916287_<11> · 338244286409_<12> · 2917261637997288707425194293131820715754108730184759615146297434534357059905386301885970892574998142957614579137426985833234843024489972791_<139>

(29·10¹⁶⁵-11)/9 =: 3(2)₁₆₄1_<166>; = 3882227429_<10> · 13190161793297_<14> · 62925169208238643986767525134425745658714395924900471987046854272349884587007449108958903309801711676988594969297013965159160126341153755463417_<143>

(29·10¹⁶⁶-11)/9 =: 3(2)₁₆₅1_<167>; = 7 · 31 · 53 · 35251 · 497346601 · 213701737408337603_<18> · 18906556686684146433835881345695559366409569958898328591881699_<62> · 39552031510187221770337793580470173334223496149600838342975909506856043_<71> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.38 snfs / 44.06 hours, 2.78 hours / Nov 28, 2008)

(29·10¹⁶⁷-11)/9 =: 3(2)₁₆₆1_<168>; = 3 · 19 · 1217 · 545375959 · 20778919487_<11> · 45602021140493_<14> · 227175975763318381887575509543877_<33> · 14614344872681959582619366399806329959_<38> · 2707355331188622324443371660128309350699561584856921482876427_<61> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2608115933 for P38 / Nov 14, 2008) (Sinkiti Sibata / Msieve 1.38 for P33 x P61 / 2.48 hours on Binary, Widows Vista / Nov 15, 2008)

(29·10¹⁶⁸-11)/9 =: 3(2)₁₆₇1_<169>; = 47 · 1354711 · 33098700893973541_<17> · 80197477465388443_<17> · [19065110064851142634598305011711690781910600659166456675477203921277050640697856822512892845451487883248668975816575374668133251_<128>] SUBMIT/RESERVE

(29·10¹⁶⁹-11)/9 =: 3(2)₁₆₈1_<170>; = 739 · 20375213 · 761841315115219_<15> · [2808952346726228286607349592413192856250276838617066864027465513158652213003638652734864016020646324259579957110275941513825532651046513191360137_<145>] SUBMIT/RESERVE

(29·10¹⁷⁰-11)/9 =: 3(2)₁₆₉1_<171>; = 3² · 257 · 3307 · 22121849 · [1904251196718953636692162604583969903297314220743772932280383376864559932289145597338154925039823123268209183786578507255925998331853435869770613657307255719_<157>] SUBMIT/RESERVE

(29·10¹⁷¹-11)/9 =: 3(2)₁₇₀1_<172>; = 77378189879_<11> · [41642512279764701242995617662091759439388865446300500712469273427447764117297156736480630877206853227818477826739783384151735931075439602326578252912586748599899_<161>] SUBMIT/RESERVE

(29·10¹⁷²-11)/9 =: 3(2)₁₇₁1_<173>; = 7 · 911 · 2137 · 51674677 · 686837002770721101814315002743_<30> · 66619764671176635087249126590613431344175126180553448850764036499467766258915040323962972670825895791557302195078744381102836239_<128> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=321248721 for P30 / Nov 14, 2008)

(29·10¹⁷³-11)/9 =: 3(2)₁₇₂1_<174>; = 3 · 23 · 311 · 49098152499471616656660919351_<29> · [305830544688890400027192065629609369023048252500540597403400671163515838568220348165633484804194947469534003974985599537199449931079865825369_<141>] SUBMIT/RESERVE

(29·10¹⁷⁴-11)/9 =: 3(2)₁₇₃1_<175>; = 17 · 27953 · 304777269877_<12> · [22248235254313985236876702792782649134603601414540235136365808443344535347362294769534814843558572680424800242200259389804211684066455426567317211109626846073_<158>] SUBMIT/RESERVE

(29·10¹⁷⁵-11)/9 =: 3(2)₁₇₄1_<176>; = 5245397 · [6142952043901009251010404402607128158692701853114687453060697259372783837376317221026782571885830990909214730976935057960764880565231234589531015902556512352110283019993_<169>] SUBMIT/RESERVE

(29·10¹⁷⁶-11)/9 =: 3(2)₁₇₅1_<177>; = 3 · 173207 · 391908835013291807753389_<24> · 1582281462185314790465686917516312943778245182697521956263289939928030762819376908195220049309020707467828932037636870570979915513353787899637500909_<148>

(29·10¹⁷⁷-11)/9 =: 3(2)₁₇₆1_<178>; = 4238791109846768319832989175973237807031692293_<46> · 9122678024342822606413342521202266190898888619350609_<52> · 83328032289291372193606565637887001304378576354453021528093000914205072237905433_<80> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 216.80 hours / Nov 22, 2008)

(29·10¹⁷⁸-11)/9 =: 3(2)₁₇₇1_<179>; = 7 · 461 · 199450159 · 1216159340323225603_<19> · 41165335243089306620282524665077716012509865763150799614264800705734324143694920496017269849464909186157134400059673190274970074958088744995121303699_<149>

(29·10¹⁷⁹-11)/9 =: 3(2)₁₇₈1_<180>; = 3³ · 53 · 3549619 · 13310355728458018191436051090311587_<35> · 4765894801948423367811395504889628582659434826497324644479808786421859894569556486917950969689887532292510529531422667771365530802998547_<136> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4238845314 for P35 / Nov 14, 2008)

(29·10¹⁸⁰-11)/9 =: 3(2)₁₇₉1_<181>; = 1221716782838003_<16> · [2637454332694946625576318607981101220379434434453561453858161345290189719588387684632783064558816967918788829942890500757310669336531721135185839098814215600992385407_<166>] SUBMIT/RESERVE

(29·10¹⁸¹-11)/9 =: 3(2)₁₈₀1_<182>; = 31 · 3307135195813_<13> · 1923356496455197516762559_<25> · [163411289343842862372787824968355636589703041828213632791643017845436354244252104044089034117139082851434659511114541739566007611655594580175273_<144>] SUBMIT/RESERVE

(29·10¹⁸²-11)/9 =: 3(2)₁₈₁1_<183>; = 3 · 83 · 347 · 6091 · 806671 · 892161314309_<12> · 850742707983861150006686181126451375548871611977383718249982557996530942225801067674478926750099752304098724222828293243741621287288948245667716405419632743_<156>

(29·10¹⁸³-11)/9 =: 3(2)₁₈₂1_<184>; = 16357829 · 32147821 · 6127428935001921334873906642294411072222047243328681308458603486029040552830779022756956127490914401363382213239733770089615457668955658498164491491372955392448629037869_<169>

(29·10¹⁸⁴-11)/9 =: 3(2)₁₈₃1_<185>; = 7 · 3547253 · 22124567 · 4554039086972747233_<19> · 1125483683198753328964583_<25> · [11443385985100041732346252855087611543625340410002691409085705234887286072280889361202027546977964371539046953753693747659880927_<128>] SUBMIT/RESERVE

(29·10¹⁸⁵-11)/9 =: 3(2)₁₈₄1_<186>; = 3 · 19 · 66747564203_<11> · 84692550357381416692669021657229547871371354085772206252220134554939553913912004308816271271912161083466027400032424858059905519051760782275429060618741729503748399923037151_<173>

(29·10¹⁸⁶-11)/9 =: 3(2)₁₈₅1_<187>; = 137519 · 836063 · 5665817540948423_<16> · [4946422330234647864806978461606571784908045828477235146048529752920552125746841089754106803903176228912180259187622281540631760016502977652617252636872741717691_<160>] SUBMIT/RESERVE

(29·10¹⁸⁷-11)/9 =: 3(2)₁₈₆1_<188>; = 283 · 11648845163_<11> · 41886268280264208532681669_<26> · [233353602696195200432031526830377523663562029504339168916373430536745095979111733359556544056546060286171361062153994847461068652456231873207568541921_<150>] SUBMIT/RESERVE

(29·10¹⁸⁸-11)/9 =: 3(2)₁₈₇1_<189>; = 3² · 541 · 1399 · 21157 · 9080488010543021_<16> · [246226461560519540044957831287467950059747326765930292231760971226860403943971716463104991716131484844860418305147246144576193206965159813743798962944932158780703_<162>] SUBMIT/RESERVE

(29·10¹⁸⁹-11)/9 =: 3(2)₁₈₈1_<190>; = 3115352841186552944395468249_<28> · [1034304101809208116798800925820621930578119802041405462807406035139464601495554371871806611354728483400990013979618564624317023645764416330495278580627587099107029_<163>] SUBMIT/RESERVE

(29·10¹⁹⁰-11)/9 =: 3(2)₁₈₉1_<191>; = 7 · 17 · 227 · 7583 · 40751 · 15738819149_<11> · 767679927278402269_<18> · 8796792628942521842371_<22> · 36318395940976932919748973005725981503363286255460365526578886569153249361662500800404314512784600263988017189134572049272163499_<128>

(29·10¹⁹¹-11)/9 =: 3(2)₁₉₀1_<192>; = 3 · 234962048155245284311390320134874392608349302915475444887775014352507137133437_<78> · 457126622153211121929472840043706090744226808049801534743653872091775669361431051141638973630223980189775046870811_<114> (Kenji Ibusuki / GGNFS-0.77.1 snfs / 665.59 hours on Core 2 Quad Q6700 (2.66GHz), Windows XP, MinGW-3.1.0 + MSYS (procrels.exe, matbuild.exe, matsolve.exe, sqrt.exe) and Cygwin (Others) / Nov 23, 2008)

(29·10¹⁹²-11)/9 =: 3(2)₁₉₁1_<193>; = 53 · 48137164183796206652071787_<26> · 2943888419481544006309315000087_<31> · 429020230421450285311212434859658639064539373449782866826090896704656190488554204941205949491030215568909552910984558484099860072701453_<135> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=3413202675 for P31 / Nov 9, 2008)

(29·10¹⁹³-11)/9 =: 3(2)₁₉₂1_<194>; = 149 · 86384299619992327_<17> · 336985849772319899_<18> · 6352277888151731480027739119_<28> · 36114926622068922279828150503_<29> · 32382212113866347652762306965318019891018429768753436705348834258291035243947909895061722463838619589_<101>

(29·10¹⁹⁴-11)/9 =: 3(2)₁₉₃1_<195>; = 3 · 571 · 24413 · 13013808637_<11> · [592069321054866114038776950546688988093099501271189711517849644348779826828639224909766200643146765523814993003424587438983598524157007705184723547781049446248791881561206411157_<177>] SUBMIT/RESERVE

(29·10¹⁹⁵-11)/9 =: 3(2)₁₉₄1_<196>; = 23 · 30269 · [4628386083368724526919092459672792255848245115496586724863035681824311890659007166497251776063359732689955747841057391508635211835645052582455895071614698668924042279189674932485413002860183_<190>] SUBMIT/RESERVE

(29·10¹⁹⁶-11)/9 =: 3(2)₁₉₅1_<197>; = 7 · 31 · 708371 · [209621093082880306551736972674133313621433137445819154752340438117177761671504949186896513477386148399938740620890001242496501837777397727507704961199919942379527412903171304967411354346103_<189>] SUBMIT/RESERVE

(29·10¹⁹⁷-11)/9 =: 3(2)₁₉₆1_<198>; = 3² · 733 · [48843750526333518602731881494955619557711417647752345342158893773263941522240749162077038384450844660030653664123423104778266215283041112963805096592727333973354891954255301231199366715510417193_<194>] SUBMIT/RESERVE

(29·10¹⁹⁸-11)/9 =: 3(2)₁₉₇1_<199>; = 467 · 675253 · 188635419335562239_<18> · 54168753718332294531584334759794098673381646781779427475706094703277836322575895195705182049874876450183416463198562362330856420730474336278117804458063319173870695234593789_<173>

(29·10¹⁹⁹-11)/9 =: 3(2)₁₉₈1_<200>; = 12983 · 135123913 · 784830287 · 2800975366074227639275163_<25> · 59042658088541072222079473718797_<32> · [141513304801840397176199213853517368373409932385348059248024938365674114582593771384352156694628593078442977112469430380307_<123>] (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=3273618220 for P32 / Nov 9, 2008) SUBMIT/RESERVE

(29·10²⁰⁰-11)/9 =: 3(2)₁₉₉1_<201>; = 3 · 61 · 431 · 523 · 646513092399479_<15> · 5784831283304282435593532332527307_<34> · [2088610314779412612083477919782861445505778796876914579979743108328834700496422161004763138669037078448651353454403945837822534741046565512696683_<145>] (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=73107423 for P34 / Nov 9, 2008) SUBMIT/RESERVE

(29·10²⁰¹-11)/9 =: 3(2)₂₀₀1_<202>; = 127 · 5521 · 211681 · 23792010541736034756794179_<26> · 912475049958948841114868245330809008746132374480055849487044289107936530221824019210393976784525387125473931048308668280908551047043705236510967399223542975538575137_<165>

(29·10²⁰²-11)/9 =: 3(2)₂₀₁1_<203>; = 7² · 25639 · 20967671 · 747395325508673_<15> · 6117662000982517919383_<22> · [267529868803425436499811310539837516067887007486737223363744382203917432288462789195096923754854791937698368294971661900683449622429579473629271743965899_<153>] SUBMIT/RESERVE

(29·10²⁰³-11)/9 =: 3(2)₂₀₂1_<204>; = 3 · 19 · 32119 · 95443 · 16488133661_<11> · 188709448679623_<15> · [592665149804270858457391453231220901511577083088521771618827691525508045871296928580997501222515993050974918551890469604527199572141551096896682628052748075239296942403_<168>] SUBMIT/RESERVE

(29·10²⁰⁴-11)/9 =: 3(2)₂₀₃1_<205>; = 17203155434383_<14> · 94199451551152187041_<20> · 5434608651830780384761_<22> · 365873306344060151774527266419637389186385194187339917924372327256610465182168531930646658135387101127978305220609898092631155377129528490090865320987_<150>

(29·10²⁰⁵-11)/9 =: 3(2)₂₀₄1_<206>; = 53 · 109 · 50909 · 17810166706889567659252372411_<29> · [6151635153258517329161468730174083495767190942366737899758416700538277580850590024112354637885373470883183965538240893193410496457311933077809502041468642250062851236627_<169>] SUBMIT/RESERVE

Factorizations

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