is 2 29027431 - 1
has 8738128 decimal digits
takes 28.866 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L468CEBB5370A2412double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275263.609666.6667%1014000491100005.24064.4649%268.850268.1550%1.4883%
PrimeNet2660.508862.1212%13000050000000.57005.4249%1.078864.1761%2.0549%
GPU722708.231964.2857%22000065000000.81064.0592%9.042565.7354%1.4497%
Difference+5+255.3777+2.3810%+794000+42610000+4.4300+0.4057%+259.8077+2.4195%+2.4195%

Known prime factors:
No known factors for M29027431

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-03-20T00:00:00curtiscv4_computers415000415000---0.598--1.073%
2021-11-11T12:43:30Architects Cubedgpu72ng101400049110000---5.241--4.465%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-12T19:20:56ATH5960X10000002800000027--4.271


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-01-21T00:00:00Jocelyn Larouchev4_computers21256--0.000--
2016-02-23T16:39:29Mark RoseManual testing256262--0.021--
2008-06-20T01:35:00markrrmst262263--0.034--
2008-06-20T02:49:00markrrmst263264--0.068--
2008-11-08T15:37:00Carsten Kossendeydurandal264265--0.129--
2008-11-09T09:35:00Carsten Kossendeydurandal265266--0.257--
2010-03-06T11:09:00GrunwalderGIMPGWPrime02266267--0.515--
2010-03-07T09:02:00GrunwalderGIMPGWPrime02267268--1.030--
2010-03-07T10:45:00GrunwalderGIMPGWPrime02268269--2.059--
2016-03-26T13:00:15Mark RoseManual testing269270--4.119--
2020-08-19T00:45:09Sid & AndyManual testing270271--8.238--
2020-08-19T00:45:09Sid & AndyManual testing271272--16.48--
2021-01-06T22:40:08Sid & AndyManual testing272273--32.95--
2021-09-10T19:51:13TheJudgerManual testing273274--65.90--
2021-10-06T16:59:37TheJudgerManual testing274275--131.8--


ECM factoring results:
No ECM results for M29027431


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-05-12T00:00:00curtiscv4_computers468CEBB5370A241228.87
2012-03-01T04:05:00ANONYMOUSC7E2BB202468CEBB5370A241228.87


PRP results:
No PRP results for M29027431


P-1 factor-bounds graph:
B1 = 1014000, B2 = 49110000 (P-1 stage 2)
B1 = 1014000 (P-1 stage 1)
B1 = 415000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-12T19:20:56+00:00