is 2 27657403 - 1
has 8325708 decimal digits
takes 25.602 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LAD101023E51A8CD3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27117.285764.7887 %32500062562500.87003.8100 %18.155766.1303 %
Target2708.639764.2857 %200000300000002.44773.9136 %11.087465.6834 %
Difference+1+8.6461+0.5030 %+125000-23743750-1.5777-0.1036 %+7.0683+0.4468 %

Known prime factors (1 factor, 68.6 bits, 0.00024789% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
276574034349047689495470278092168.5597862357303568
24 × 32 × 331 × 164953787
2012-02-053311649537872.514412.06322.530

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2005-08-01Fabian Riegerv4_computers3250006256250--0.8704.218%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2012-02-05Carsten KossendeyManual testing??
68.559
21
3.364
2001-08-24Net_Forcev4_computers212560.000
2004-08-201997rj7v4_computers212620.011
2004-12-23tscv4_computers212670.540
2011-09-12Carsten KossendeyManual testing2672681.081
2012-02-05Carsten KossendeyManual testing26827115.13


ECM factoring results:
No ECM results for M27657403


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2005-09-03Fabian Riegerv4_computersAD101023E51A8CD325.60


PRP results:
No PRP results for M27657403


CERT results:
No CERT results for M27657403


P-1 factor-bounds graph:
B1 = 325000, B2 = 6256250 (P-1 stage 2)
B1 = 325000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
271
268
267
262
256
this exponent TF target: 70
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00