is 2 2517503 - 1
has 757844 decimal digits
takes 0.175 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB8ED833475EDDA46double-checked
PRPDC9270D55408F3CBverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.676267.6471%30000001350000001.02508.2543%24.701270.3176%2.6705%
PrimeNet2590.030562.7119%110001900000.00212.6424%0.032663.6972%0.9853%
GPU722630.634065.0794%110001700000.00201.4095%0.635965.5716%0.4922%
Difference+5+23.0422+2.5677%+2989000+134830000+1.0230+6.8449%+24.0653+4.7460%+4.7460%

Known prime factors (1 factor, 75.9 bits, 0.00301305% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2517503682697794793893278532392375.85413559026439966373
35 × 167 × 347 × 962889139
2021-02-033479628891395,863.95.27629.854

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.235%
2003-10-31T00:00:00Team Prime Ribv4_computers15000236250---0.003--0.796%
2010-12-19T21:41:00Jocelyn LaroucheManual testing2000020000---0.002--0.264%
2011-01-01T13:19:00Jocelyn LaroucheManual testing3000030000---0.003--0.366%
2011-01-06T01:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.529%
2011-03-04T06:47:00James Heinrichi7-9203000008000000---0.072--3.953%
2017-11-01T21:31:23Jocelyn Larouchelow 4M60000060000006---0.090--4.043%
2018-04-25T01:24:04mikrMSI300000013500000012---1.025--8.254%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-09T00:00:00Denis Clavev4_computers21258--0.015--
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:15Mark RoseManual testing259260--0.031--
2009-01-30T22:51:00Sturle Sundegigotte.ifi260261--0.061--
2012-06-13T11:42:00Sebastian HornbostelManual testing261262--0.122--
2013-01-23T08:30:00dbaughManual testing262263--0.390--
2015-02-18T11:36:00VictordeHollanderManual testing263264--0.780--
2015-02-18T11:36:00VictordeHollanderManual testing264265--1.484--
2015-11-06T09:16:18ramgeisManual testing265266--2.968--
2017-07-31T22:29:10Gordon SpenceManual testing266267--5.937--
2019-05-06T12:23:25TJAOIManual testing267268--11.87--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.479 GHz-days
Estimated T-Level:21.839
DigitsB1CurvesCompleteFacMiss
2011000103 / 1001.03035.516%
2550000103 / 2800.36869.176%

New Calculation Method

Total ECM effort:9.479 GHz-days
Estimated T-Level:21.839
DigitsB1CompleteFacMiss
20110003.3233.606%
25500000.30074.060%
302500000.01898.168%


ECM Summary

B1B2factorcurvesGHz-days
500005000000989.019
50000500000050.460


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-09T00:00:00Denis Clavev4_computersB8ED833475EDDA460.175
1999-05-02T00:00:00ANONYMOUSv4_computersB8ED833475EDDA460.175
2018-06-05T10:19:19kkmrkkblmbrbkoldB8ED833475EDDA460.175


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-03T17:08:03mrhlanai
68269779479389327853239
DC9270D55408F3CBno


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 = 236250 (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: 2021-02-03T17:08:03+00:00