is 2 29931437 - 1
has 9010261 decimal digits
takes 31.179 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2693.988763.7681%200000712893306.15216.6308%10.140866.1706%2.4025%
PrimeNet2670.992762.6866%13000050000000.59714.9065%1.589864.5174%1.8308%
GPU7227115.972464.7887%20000060000000.77943.5587%16.751866.0418%1.2531%
Difference-2-11.9838-1.0206%-+65289330+5.3728+3.0720%-6.6110+0.1288%+1.1494%

Known prime factors (6 factors, 380.8 bits, 0.00127227% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
299314371783319206861191547.3422979007
31 × 96097
2000-05-1031960971.132e-60.00800.0148
29931437455882484351804011755.340761544600
23 × 3 × 52 × 1269241
2015-01-192512692410.00020.10450.1951
2993143715773837973375284891960.45226349951012
22 × 3 × 7 × 11 × 23 × 41 × 30241
2016-02-0941302410.00820.00250.0046
2993143730863338507568261511961.42151556726975
52 × 13 × 23 × 31 × 271 × 821
2016-04-262718210.01760.00050.0008
2993143712905321328020925779772270.12821558138568524
22 × 33 × 3793 × 52626521
2022-05-2437935262652111.3454.33618.0886
29931437845246624055399313440520332686.1281411971339791335968
25 × 32 × 23 × 227 × 37657 × 24936413
2022-05-243765724936413937,0022.10583.8327

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
29931437812983990416167988479746155371931102.681
2993143728129788223836533714349658934419133107.794
2993143755039184348405055596146272189796933108.762
299314377191016443065150191984565219194408935115.792
2993143714070055434220918105690320587946655136116.760
2993143723014307394975076587442708334900126336117.470
29931437486833300935815935892877838418271583937121.873
299314375883309948376502241997471601915462877738125.468
29931437203566447622546440098551648255169148675340130.581
29931437398301300695650214105460819198600027652740131.549
299314371507344539212573143827963177864299682992741133.469
29931437385333130864350744404810934912521668580523343141.467
2993143713332783295392321232357710743483092283586813745146.580
2993143726087132680601079254678297292514020687911498345147.548
2993143710908179284859830058006823344479063769419787724148156.256
299314371282387773977271929724393910478417696030536640059150163.133
299314372509140009744782394422739905622192933042163050556950164.102
2993143786817917609847430219154913369465584256034168873884
1
51169.214
2993143710491819630857332661698510876921233907036016581846
463
53172.810
2993143722193877469580920089238670575568963465062640808507
1439
54177.212
2993143736302395591778949428273645586487122557220106695948
1607
54177.922
2993143771029835964834728461836739624283876051083336557042
8713
54178.891
2993143792802377872837858092551734246756042386539083177456
727953
56185.920
2993143718157858648168794237447485110059234902073404142113
0747327
57186.889
2993143768717197331035310218656659660229495050812849418536
0660727
57188.809
2993143762827401817578151230007221106176088565592658155087
40477703
58192.001
2993143723776608531591157404744007353140074720770967683256
050290303
59193.921
2993143746521684761252146052402816356454455962374056422848
853020977
59194.890
2993143760781823720276837857132074830441433162202222917671
29042782937
61201.919
2993143711892666856047556510141119682725402603511058076396
000827048183
62202.888
2993143719452765630575894878668099196913564680936987852417
186054717679
62203.598
2993143741149420409374469113068184489361397494669439602518
5536869250687
63208.0004
2993143749728478721367841328746352175556363371468420615430
11359087153641
64211.596
2993143717206385262390764621433372275298450030764462133401
7517649162218849
66216.708
2993143733666282976987281355852320176351355971407922645397
8202314676529391
66217.677
2993143739578767966227480904318947726970657637732752993367
453542954010655241
68224.554
2993143716549626290302165786065926824157262160042905904285
368223409592486384407
71233.262
2993143732381258082749973782718708522515057100464943333746
794507683585065253913
71234.230
2993143711204131237847275566572452897510230270140616377236
26368241534687581104657
73239.343
2993143728641912025966574344168629386923755710795761655394
7484923848534435723098903
75247.341
2993143710839339366842075535723672311793897273954839520993
35013692214110154225951503
76249.261
2993143721208421225191090543664587691517267746489962369136
09164127838098354832271777
76250.229
2993143773382551767243342577737478042912672627637436172862
717452528539345222452113753
77255.342
2993143788681751231803262622368701011012617565921931477857
7506671650966820039489009279
78258.937
2993143718759300005862460974640580631978876170358422862712
793387501591927287174538185487
80263.340
2993143730684477319074766950545754612219851191657828366749
125181083750070727892514457031
80264.050
2993143760037729056485341096568839900995139720626559563117
049232301779859177006389223529
80265.018
2993143778440896601329688871923385741461815556475980839066
91108565282496705478264757578449
82272.048
2993143715347868722439810014011706959145457422857990952542
561987727689790216257213663665791
83273.016
2993143753104649284479991109270579819291516424546139172410
3415853658743423766749116108320199
84278.129
2993143751077671837134690959624925047851720758439132484044
010478018857343574649414225780656227457
89294.682
2993143733453820007725760822550719154750269295349791764096
19589498101977688826978328080119810328154953
94310.681
2993143713988515751256387504740456271290710676418269524707
75675969350269697584674829553340897997047849431
97319.389
2993143727370149077111027442056146115054693485984395154234
45855358045445911397155299879937929049428855129
97320.358
2993143794702541042640518785172793185891301187333240848963
197056091514321644181381205317805857576626617681
98325.470
2993143724209479446439989563115878993144625783200723335664
32498009713237923601693316985370690983569563721979
9
101333.468
2993143743173229684947643318823750823906517324970862355817
20643547354394702591403753728399841915122018790587
872597691270081
115380.810
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-05-24T02:57:31masserManual testing2000007128933048156.2566.15262.3612.306.631%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-05-10T00:00:00Alex Kruppav4_computers??47.342155.05316e-764.461.04474e-6
2015-01-19T12:37:00TJAOIManual testing255256*55.340177.91368e-564.460.000
2022-06-25T18:32:40LordJuliusManual testing2126047.342151.13171e-664.462.33981e-6
2022-06-25T18:32:40LordJuliusManual testing2126055.340170.00064.460.000
2016-02-09T12:11:49TJAOIManual testing260261*60.452190.00364.450.006
2016-04-26T15:48:54TJAOIManual testing261262*61.421190.00764.440.015
2022-09-25T06:23:21LordJuliusManual testing26026560.452190.00364.450.006
2022-09-25T06:23:21LordJuliusManual testing26026561.421190.01264.440.026
2022-09-25T06:23:21LordJuliusManual testing265266--0.250--
2022-09-25T06:23:21LordJuliusManual testing266267--0.499--
2022-09-22T12:36:07masserManual testing267269--2.996--


ECM factoring results:
No ECM results for M29931437


Lucas-Lehmer results:
No L-L results for M29931437


PRP results:
No PRP results for M29931437


P-1 factor-bounds graph:
B1 = 200000, B2 = 71289330 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
269
267
266
265
262
261
260
256
2
240
250
260
270
280
290
2100
Last modified: 2022-09-25T06:23:21+00:00