is 2 7556539 - 1
has 2274745 decimal digits
takes 1.648 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE4C421C2E8A145FBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2673.932265.6716 %14500031537500.09773.7698 %4.029966.9657 %
Target2673.932265.6716 %5000055000000.10972.4403 %4.041966.5094 %
Difference---+95000-2346250-0.0120+1.3294%-0.0120+0.4564 %

Known prime factors (1 factor, 71.6 bits, 0.00094786% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
755653936428949879675585465192271.626241042558502481
3 × 19 × 71 × 263 × 226466921
2018-03-2926322646692163.2673.90137.2864

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-02-17ANONYMOUSv4_computers40000530000--0.0211.923%
2012-05-07James Heinrichi7-92014500031537506--0.0983.770%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-29ANONYMOUSv4_computers212630.130
2013-10-18NesowaManual testing2632640.260
2013-12-01David CampeauManual testing2642650.494
2015-06-09VictordeHollanderManual testing2652660.989
2016-09-27Gordon SpenceManual testing2662671.978


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.995
50000500000030.995


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-22Richard_Otterv4_computersE4C421C2E8A145FB1.648
2002-02-24ANONYMOUSv4_computersE4C421C2E8A145FB1.648


PRP results:
dateuseridcompidcofactorsres64
2018-04-01axnskylake
3642894987967558546519
3558C02E0463FC2E
2019-07-08kkmrkkblmbrbkc5.large
3642894987967558546519
3558C02E0463FC2E


CERT results:
No CERT results for M7556539


P-1 factor-bounds graph:
B1 = 145000, B2 = 3153750 (P-1 stage 2)
B1 = 145000 (P-1 stage 1)
B1 = 40000, B2 = 530000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
266
265
264
263
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00