is 2 29025527 - 1
has 8737555 decimal digits
takes 28.864 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0349B198B655DB7Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual275263.626966.6667%32500068250000.97932.5703%264.606167.5234%0.8568%
PrimeNet2660.508862.1212%13000050000000.57005.4248%1.078964.1761%2.0549%
GPU722708.232464.2857%22000065000000.81064.0592%9.043065.7354%1.4497%
Difference+5+255.3944+2.3810%+105000+325000+0.1687-1.4889%+255.5631+1.7880%+1.7880%

Known prime factors (1 factor, 77.3 bits, 0.00026648% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
290255271922852361662044307223832477.3483312347027604433
7 × 13 × 36399417885763
2021-12-0913363994178857631,276.62,859,5795,340,897

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-03-20T00:00:00ANONYMOUSv4_computers3250006825000---0.979--2.570%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-09T22:40:33ATH5960X1000000100000027P+12477.3482.192


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-01-21T00:00:00Jocelyn Larouchev4_computers21256--0.000--
2005-03-20T00:00:00ANONYMOUSv4_computers21268--2.054--
2012-04-10T16:11:00BigBrotherManual testing268269--2.060--
2017-02-13T15:32:59ramgeisManual testing269270--4.119--
2020-08-18T00:45:06Sid & AndyManual testing270271--8.239--
2020-08-18T00:45:06Sid & AndyManual testing271272--16.48--
2021-01-06T14:40:07Sid & AndyManual testing272273--32.95--
2021-09-10T19:19:50TheJudgerManual testing273274--65.91--
2021-10-06T17:23:47TheJudgerManual testing274275--131.8--


ECM factoring results:
No ECM results for M29025527


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-04-11T00:00:00ANONYMOUSv4_computers0349B198B655DB7B28.86
2013-01-26T05:17:00WRwr180349B198B655DB7B28.86


PRP results:
No PRP results for M29025527


P-1 factor-bounds graph:
B1 = 1000000 (P+1 stage 1)
B1 = 325000, B2 = 6825000 (P-1 stage 2)
B1 = 325000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-09T22:40:33+00:00