is 2 29026961 - 1
has 8737986 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-L0A0E990583ADA193double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275263.613866.6667%1014000491100005.24064.4649%268.854468.1550%1.4883%
PrimeNet2660.508862.1212%13000050000000.57005.4249%1.078864.1761%2.0549%
GPU722708.232064.2857%22000065000000.81064.0592%9.042665.7354%1.4497%
Difference+5+255.3818+2.3810%+794000+42610000+4.4300+0.4057%+259.8118+2.4195%+2.4195%

Known prime factors (1 factor, 75.1 bits, 0.00025881% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29026961412117523438926596618712375.125709887479159335
5 × 141977495831867
2021-12-125141977495831867352.3411,153,91020,832,397

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-12-24T00:00:00Nick Craig-Woodv4_computers415000415000---0.598--1.073%
2021-11-11T06:17:23Architects Cubedgpu72ng101400049110000---5.241--4.465%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-12T06:00:56ATH5960X10000002800000027P+12375.1254.271


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-01-21T00:00:00Jocelyn Larouchev4_computers21256--0.000--
2005-12-24T00:00:00Nick Craig-Woodv4_computers21268--2.053--
2012-02-24T15:37:00LaurVManual testing268269--2.060--
2012-02-29T10:08:00bcp19Manual testing269270--4.119--
2020-08-17T06:31:24Sid & AndyGPU72_TF270271--8.238--
2020-08-17T06:56:04Sid & AndyGPU72_TF271272--16.48--
2021-01-06T22:40:08Sid & AndyManual testing272273--32.95--
2021-09-10T19:52:50TheJudgerManual testing273274--65.90--
2021-10-06T17:00:43TheJudgerManual testing274275--131.8--


ECM factoring results:
No ECM results for M29026961


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-06-13T00:00:00Nick Craig-Woodv4_computers0A0E990583ADA19328.87
2012-12-03T16:44:00ANONYMOUS0A0E990583ADA19328.87


PRP results:
No PRP results for M29026961


P-1 factor-bounds graph:
B1 = 1014000, B2 = 49110000 (P-1 stage 2)
B1 = 1000000, B2 = 28000000 (P+1 stage 2)
B1 = 1014000 (P-1 stage 1)
B1 = 1000000 (P+1 stage 1)
B1 = 415000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-12T06:00:56+00:00