is 2 2509417 - 1
has 755410 decimal digits
takes 0.174 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2C5157AC88C4B402double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.752567.6471%32000001120000000.91808.0602%24.670570.2548%2.6077%
PrimeNet2590.030662.7119%110001900000.00212.6409%0.032763.6966%0.9847%
GPU722630.636065.0794%110001700000.00201.4085%0.638065.5712%0.4919%
Difference+5+23.1165+2.5677%+3189000+111830000+0.9160+6.6516%+24.0325+4.6835%+4.6835%

Known prime factors (1 factor, 77.4 bits, 0.00308454% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25094171999375385350495809552892477.40439837448007853932
22 × 9959362001963483
2020-08-054995936200196348314,97554,572,601101,926,421

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--0.795%
2010-12-16T22:40:00Jocelyn LaroucheManual testing2000020000---0.002--0.264%
2011-01-01T00:57:00Jocelyn LaroucheManual testing3000030000---0.003--0.365%
2011-01-04T22:09:00Jocelyn LaroucheManual testing5000050000---0.005--0.529%
2011-12-08T00:19:00markrManual testing1650003918750---0.037--3.098%
2016-02-15T14:52:43mikrMSI320000011200000012---0.918--8.060%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:15Mark RoseManual testing259260--0.031--
2009-02-07T08:11:00Sturle Sundebruch.ifi260261--0.061--
2012-06-12T16:42:00Sebastian HornbostelManual testing261262--0.122--
2013-01-23T08:30:00dbaughManual testing262263--0.391--
2015-02-18T11:36:00VictordeHollanderManual testing263264--0.782--
2015-02-18T11:36:00VictordeHollanderManual testing264265--1.489--
2015-11-05T09:47:21ramgeisManual testing265266--2.978--
2017-07-31T07:56:49Gordon SpenceManual testing266267--5.956--
2019-05-13T13:38:14TJAOIManual testing267268--11.91--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.519 GHz-days
Estimated T-Level:3.000
DigitsB1CurvesCompleteFacMiss
201100060 / 1000.60054.716%
255000060 / 2800.21480.681%

New Calculation Method

Total ECM effort:5.519 GHz-days
Estimated T-Level:3.000
DigitsB1CompleteFacMiss
20110001.93514.435%
25500000.17583.952%
302500000.01198.929%


ECM Summary

B1B2factorcurvesGHz-days
500005000000595.427
50000500000010.092


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-16T00:00:00Stephen Woodv4_computers2C5157AC88C4B4020.174
2018-06-04T01:00:03kkmrkkblmbrbkold2C5157AC88C4B4020.174


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-06T02:59:14CrypticCluecruncher
199937538535049580955289
3EC88AAC6C265D05no
2020-08-08T13:09:20kutensrigel
199937538535049580955289
3EC88AAC6C265D05no


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 165000, B2 = 3918750 (P-1 stage 2)
B1 = 165000 (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: 2020-08-08T13:09:20+00:00