is 2 27257089 - 1
has 8205202 decimal digits
takes 25.232 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L189D1058F10B5F93double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27235.085765.2778%4200004200000.56371.5415%35.649465.8130%0.5352%
PrimeNet2660.541862.1212%12000045000000.48145.2153%1.023264.0967%1.9755%
GPU722708.766564.2857%20000060000000.69263.9060%9.459265.6807%1.3950%
Difference+2+26.3191+0.9921%+220000-5580000-0.1289-2.3646%+26.1903+0.1323%+0.1323%

Known prime factors (1 factor, 67.1 bits, 0.00024599% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
272570891527822694210891623292167.0502802615301676
22 × 17 × 41214930907
2011-10-2117412149309071.82983,014.05,629.4

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-03-20T00:00:00ANONYMOUSv4_computers420000420000---0.564--1.541%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2011-10-21T06:18:00Carsten KossendeyManual testing??67.050210.74051.431.507
2001-08-18T00:00:00Net_Forcev4_computers21256--0.000--
2004-04-09T00:00:00ANONYMOUSv4_computers21261--0.011--
2004-07-13T00:00:001997rj7v4_computers21262--0.023--
2004-10-18T00:00:00rbanovv4_computers21267--1.090--
2011-10-21T06:18:00Carsten KossendeyManual testing267271--16.45--
2022-02-12T03:46:49masserManual testing271272--17.55--


ECM factoring results:
No ECM results for M27257089


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-04-02T00:00:00ANONYMOUSv4_computers189D1058F10B5F9325.23


PRP results:
No PRP results for M27257089


P-1 factor-bounds graph:
B1 = 420000 (P-1 stage 1)
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TF factor-bounds graph:
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2
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2100
Last modified: 2022-02-12T03:46:49+00:00