is 2 59281 - 1
has 17846 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown10000000020000000000.350047.4972%0.350047.4972%47.4972%
PrimeNet2400.000060.0000%600100000.00005.1678%0.000062.0671%2.0671%
GPU722440.000063.6364%500100000.00002.1417%0.000064.4152%0.7788%
Difference-440.0000-63.6364%+99999500+1999990000+0.3500+45.3555%+0.3500-16.9180%-16.9180%

Known prime factors (3 factors, 184.5 bits, 0.31121933% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5928112665978471030.23810683
32 × 1187
-911873.167e-91.259e-72.072e-7
59281103662350143082811753.20387433030940
22 × 5 × 71 × 61572557
2009-06-2071615725570.02980.00580.0108
59281262995274734901624402284686135931101.05322182088252129824429605159
72 × 2479096579 × 182605099958429
2020-07-1324790965791826050999584292.194e+1217,11531,958

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
59281131298509506188829088710072683.441
59281333109248750399893224736445340801689407340131.291
592812726270825554563233014990542690327667729261387947154.256
5928134530887579863223719621463400969306116704138528143
718513
56184.494
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-11T03:50:52kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 1266597847
skipped known factor: 10366235014308281
--0.350--39.807%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-06T18:45:55ATHcolab-Pp215000000150000000027--0.176


Trial Factoring results:
No TF results for M59281


ECM factoring results:

Old Calculation Method

Total ECM effort:14.328 GHz-days
Estimated T-Level:31.326
DigitsB1CurvesCompleteFacMiss
20110001278 / 10012.7800.000%
25500001278 / 2804.5641.033%
302500001004 / 6401.56920.805%
351000000419 / 15800.26576.700%

New Calculation Method

Total ECM effort:14.328 GHz-days
Estimated T-Level:31.326
DigitsB1CompleteFacMiss
2011000117.4460.000%
255000019.8180.000%
302500002.6726.910%
3510000000.29474.555%
4030000000.02797.333%
45110000000.00299.783%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002740.339
250000250000005853.619
10000001000000003488.612
1000000100000000711.757


Lucas-Lehmer results:
No L-L results for M59281


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:08:15Oliver KruseOliver-PC
1266597847
10366235014308281
04C1EEF434A082__no
2017-09-21T20:28:08Oliver KruseManual testing
1266597847
10366235014308281
04C1EEF434A082__no
2017-10-13T06:11:34kkmrkkblmbrbkManual testing
1266597847
10366235014308281
04C1EEF434A082__no
2020-04-17T13:47:32Oliver KruseAddPrpType5
1266597847
10366235014308281
0545AB8FFA1659__no
2020-07-12T01:37:45CrypticCluecruncher
1266597847
10366235014308281
2629952747349016244022846861359
0545AB8FFA1659D3no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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Last modified: 2021-05-06T18:45:55+00:00