is 2 2536603 - 1
has 763594 decimal digits
takes 0.176 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD8BF54F2EC66D64Bdouble-checked
PRP72826408DF446046verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.497967.6471%30000001350000001.02508.2604%24.522970.3196%2.6725%
PrimeNet2590.030362.7119%110002000000.00212.6826%0.032463.7122%1.0003%
GPU722630.629265.0794%110001800000.00201.4357%0.631265.5807%0.5014%
Difference+5+22.8687+2.5677%+2989000+134820000+1.0230+6.8247%+23.8917+4.7388%+4.7388%

Known prime factors (1 factor, 83.4 bits, 0.00328885% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2536603129855509048386094001521932683.4252559634066670781632
26 × 73 × 19 × 6136916110439
2020-12-3034361369161104391,118,61633,62762,807

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.236%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.755%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.264%
2011-01-02T14:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.366%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.530%
2011-04-01T03:04:00James HeinrichWHS3000008000000---0.072--3.957%
2018-08-11T22:21:45Jocelyn Larouchelow 4M60000060000006---0.090--4.047%
2018-08-13T11:58:41mikrMSI300000013500000012---1.025--8.260%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-04-13T05:59:00S485122USB-Z260261--0.061--
2012-06-14T18:43:00Sebastian HornbostelManual testing261262--0.121--
2013-01-23T08:30:00dbaughManual testing262263--0.387--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.774--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.473--
2015-11-08T21:03:12ramgeisManual testing265266--2.946--
2017-08-08T13:42:09Gordon SpenceManual testing266267--5.892--
2019-05-27T13:36:55TJAOIManual testing267268--11.78--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.200 GHz-days
Estimated T-Level:4.450
DigitsB1CurvesCompleteFacMiss
201100089 / 1000.89040.882%
255000089 / 2800.31872.729%

New Calculation Method

Total ECM effort:8.200 GHz-days
Estimated T-Level:4.450
DigitsB1CompleteFacMiss
20110002.8715.664%
25500000.25977.146%
302500000.01698.415%


ECM Summary

B1B2factorcurvesGHz-days
500005000000888.108
50000500000010.092


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computersD8BF54F2EC66D64B0.176
2018-06-09T01:36:11kkmrkkblmbrbkoldD8BF54F2EC66D64B0.176


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-01T00:18:40Niels_Mache_Nextcloudconf4-a
12985550904838609400152193
72826408DF446046no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 135000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-01-01T00:18:40+00:00