is 2 27371261 - 1
has 8239571 decimal digits
takes 25.337 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF27BE0872C53A4B1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27117.466464.7887%15500032162500.43192.9499%17.898465.8274%1.0387%
PrimeNet2660.539662.1212%12000045000000.48145.2182%1.020964.0978%1.9766%
GPU722708.730064.2857%20000060000000.69263.9082%9.422665.6815%1.3958%
Difference+1+8.7365+0.5030%-45000-2783750-0.2607-0.9583%+8.4758+0.1459%+0.1459%

Known prime factors (1 factor, 68.0 bits, 0.00024828% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
273712612864816064183423925992167.9575233255537959
32 × 581472837551
2011-11-1395814728375512.101842,52379,421

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2007-10-17T00:00:00ANONYMOUSv4_computers1550003216250---0.432--2.950%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2011-11-13T09:11:00Carsten KossendeyManual testing??67.957211.01651.642.071
2001-08-24T00:00:00Net_Forcev4_computers21256--0.000--
2004-04-29T00:00:00ANONYMOUSv4_computers21261--0.011--
2004-08-20T00:00:00ANONYMOUSv4_computers21262--0.022--
2005-01-10T00:00:00JC_Herlesv4_computers21267--1.086--
2011-11-13T09:11:00Carsten KossendeyManual testing267271--16.38--


ECM factoring results:
No ECM results for M27371261


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-11-13T00:00:00ANONYMOUSv4_computersF27BE0872C53A4B125.34


PRP results:
No PRP results for M27371261


P-1 factor-bounds graph:
B1 = 155000, B2 = 3216250 (P-1 stage 2)
B1 = 155000 (P-1 stage 1)
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TF factor-bounds graph:
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250
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Last modified: 2011-11-13T09:11:51+00:00