is 2 2569513 - 1
has 773501 decimal digits
takes 0.178 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L54DD7EEEA66B5E9Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.564067.1642%17500041125000.03923.5403%11.603268.3267%1.1625%
PrimeNet2590.029962.7119%110002000000.00212.6890%0.032063.7146%1.0027%
GPU722630.621165.0794%120001900000.00221.5041%0.623365.6046%0.5252%
Difference+4+10.9429+2.0848%+163000+3922500+0.0370+2.0362%+10.9799+2.7221%+2.7221%

Known prime factors (2 factors, 143.6 bits, 0.00558774% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
256951313622995264104445102812270.207265089051195780
22 × 3 × 5 × 7 × 631164407609
2015-10-197631164407609177.603,458.56,459.5
2569513122155386385926703321692373.3712377014367818468
22 × 3 × 7 × 23 × 1230338699699
2015-12-182312303386996991,177.66,741.712,592

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
25695131664122250220328087492389327341718280552948944143.578
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.293%
2003-11-08T00:00:00Team Prime Ribv4_computers15000202500---0.003--0.891%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.316%
2011-01-03T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.433%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.621%
2011-04-16T09:41:00James HeinrichWHS1750004112500---0.039--3.540%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00Lars Lindleyv4_computers21259--0.030--
2022-03-11T02:05:01LordJuliusManual testing21260--0.060--
2009-01-29T21:43:00Sturle Sundehindemith.ifi260261--0.060--
2012-06-17T18:42:00Sebastian HornbostelManual testing261262--0.120--
2013-01-14T11:55:00dbaughManual testing262263--0.382--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.764--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.454--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.385 GHz-days
Estimated T-Level:0.750
DigitsB1CurvesCompleteFacMiss
201100015 / 1000.15086.006%
255000015 / 2800.05494.775%

New Calculation Method

Total ECM effort:1.385 GHz-days
Estimated T-Level:0.750
DigitsB1CompleteFacMiss
20110000.48461.639%
25500000.04495.721%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.108
50000500000010.092
50000500000020.185


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00Lars Lindleyv4_computers54DD7EEEA66B5E9D0.178


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:31:05alpertronManual testing
1362299526410444510281
12215538638592670332169
80B103486D8F10__no
2017-11-11T09:18:58Oliver KruseGTX-2
1362299526410444510281
12215538638592670332169
80B103486D8F10__no


P-1 factor-bounds graph:
B1 = 175000, B2 = 4112500 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 202500 (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: 2022-03-11T02:05:01+00:00