is 2 27134113 - 1
has 8168182 decimal digits
takes 25.118 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0FBC8C5DEB29F717double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27117.619164.7887%30500040412500.68263.4260%18.301765.9951%1.2063%
PrimeNet2660.544362.1212%12000045000000.48145.2122%1.025764.0955%1.9743%
GPU722708.806364.2857%20000060000000.69263.9037%9.498965.6799%1.3942%
Difference+1+8.8128+0.5030%+105000-1958750-0.0100-0.4777%+8.8028+0.3152%+0.3152%

Known prime factors (1 factor, 67.3 bits, 0.00024816% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
271341131864364750555879994232167.3373435462862847
281 × 12225846487
2011-11-15281122258464871.3924894.071,669.9

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2005-02-12T00:00:00amphoriav4_computers3050004041250---0.683--3.426%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2011-11-15T00:11:00Carsten KossendeyManual testing??67.337210.29751.200.606
2001-08-18T00:00:00Net_Forcev4_computers21256--0.000--
2002-08-31T00:00:00Jocelyn Larouchev4_computers21257--0.001--
2004-03-16T00:00:00ANONYMOUSv4_computers21262--0.023--
2004-10-03T00:00:00Philippe.Rosev4_computers21267--1.095--
2004-11-03T00:00:00Philippe.Rosev4_computers21267--1.095--
2011-11-15T00:10:00Carsten KossendeyManual testing267271--16.52--


ECM factoring results:
No ECM results for M27134113


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-02-12T00:00:00amphoriav4_computers0FBC8C5DEB29F71725.12


PRP results:
No PRP results for M27134113


P-1 factor-bounds graph:
B1 = 305000, B2 = 4041250 (P-1 stage 2)
B1 = 305000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
271
267
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2
250
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2100
Last modified: 2011-11-15T00:11:05+00:00