is 2 27311161 - 1
has 8221479 decimal digits
takes 25.282 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA1ED14793A39F9E7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27235.016265.2778%29000031900000.60132.8991%35.617666.2844%1.0066%
PrimeNet2660.540762.1212%12000045000000.48145.2167%1.022164.0972%1.9760%
GPU722708.749264.2857%20000060000000.69263.9071%9.441865.6811%1.3954%
Difference+2+26.2670+0.9921%+90000-2810000-0.0913-1.0080%+26.1758+0.6033%+0.6033%

Known prime factors (1 factor, 68.9 bits, 0.00025212% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
273111615340908403471437817192168.8569777886050819
3 × 29 × 112389494837
2012-01-03291123894948372.45688,219.015,351

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-10-04T00:00:00ANONYMOUSv4_computers2900003190000---0.601--2.899%
2012-01-03T11:38:00Carsten KossendeyManual testing29000031900002168.8560.60150.561.2032.899%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-11-05T00:00:00Jocelyn Larouchev4_computers21254--8.78705e-5--
2001-08-18T00:00:00Net_Forcev4_computers21256--0.000--
2004-04-09T00:00:00ANONYMOUSv4_computers21261--0.011--
2004-07-13T00:00:00ANONYMOUSv4_computers21262--0.022--
2004-10-18T00:00:00ANONYMOUSv4_computers21267--1.088--
2011-10-05T23:42:00Carsten KossendeyManual testing267268--1.094--
2012-01-02T22:42:00Carsten KossendeyManual testing268271--15.32--
2022-02-14T00:30:58masserManual testing271272--17.51--


ECM factoring results:
No ECM results for M27311161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-11-01T00:00:00ANONYMOUSv4_computersA1ED14793A39F9E725.28


PRP results:
No PRP results for M27311161


P-1 factor-bounds graph:
B1 = 290000, B2 = 3190000 (P-1 stage 2)
B1 = 290000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-02-14T00:30:58+00:00