is 2 27161941 - 1
has 8176559 decimal digits
takes 25.144 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBE355DE55674B4AFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27235.208665.2778%32500086125001.04233.6656%36.250966.5506%1.2728%
PrimeNet2660.543762.1212%12000045000000.48145.2129%1.025164.0958%1.9746%
GPU722708.797364.2857%20000060000000.69263.9042%9.489965.6801%1.3944%
Difference+2+26.4113+0.9921%+125000+2612500+0.3497-0.2386%+26.7610+0.8705%+0.8705%

Known prime factors:
No known factors for M27161941

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-01-10T00:00:00ANONYMOUSv4_computers3250008612500---1.042--3.666%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-18T00:00:00Net_Forcev4_computers21256--0.000--
2004-03-26T00:00:00ANONYMOUSv4_computers21262--0.023--
2004-11-22T00:00:00Team Prime Ribv4_computers21267--1.094--
2011-10-19T21:10:00Carsten KossendeyManual testing267268--1.100--
2011-12-24T16:19:00bcp19Manual testing268269--2.201--
2017-03-24T22:40:18ramgeisManual testing269270--4.402--
2021-02-20T05:50:13mikrManual testing270271--8.804--
2021-04-22T02:40:08Sid & AndyManual testing271272--17.61--


ECM factoring results:
No ECM results for M27161941


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-02-02T00:00:00ANONYMOUSv4_computersBE355DE55674B4AF25.14
2012-10-24T14:06:00ANONYMOUSabc2008BE355DE55674B4AF25.14


PRP results:
No PRP results for M27161941


P-1 factor-bounds graph:
B1 = 325000, B2 = 8612500 (P-1 stage 2)
B1 = 325000 (P-1 stage 1)
104
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106
104
105
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107
TF factor-bounds graph:
272
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2100
Last modified: 2021-04-22T02:40:08+00:00