is 2 2598919 - 1
has 782353 decimal digits
takes 0.180 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA8DB16F4D90B6B2Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.433267.1642%32000001120000000.91808.7598%12.351270.0405%2.8764%
PrimeNet2590.029562.7119%110002000000.00212.6947%0.031763.7167%1.0048%
GPU722630.614165.0794%120002000000.00221.5302%0.616365.6137%0.5344%
Difference+4+10.8191+2.0848%+3188000+111800000+0.9158+7.2296%+11.7348+4.4268%+4.4268%

Known prime factors (1 factor, 87.3 bits, 0.00336004% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25989191937977147100362139655492712787.32537284292952192087165
5 × 7 × 13 × 79 × 1811 × 26557 × 21567011
2016-09-02265572156701123,663,1660.12070.2207

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.294%
2003-11-08T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.913%
2010-11-16T23:08:00Jocelyn LaroucheManual testing2000020000---0.002--0.317%
2011-01-15T02:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.622%
2011-04-19T05:57:00James HeinrichWHS1750004156250---0.039--3.554%
2016-09-03T02:27:52mikrMSI3200000112000000122787.3250.9180.3611.8368.760%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:17Mark RoseManual testing259260--0.030--
2009-01-30T21:58:00Sturle Sundeothello.ifi260261--0.059--
2012-06-23T13:43:00Sebastian HornbostelManual testing261262--0.118--
2013-01-14T11:55:00dbaughManual testing262263--0.378--
2015-02-27T20:35:00VictordeHollanderManual testing263264--0.755--
2015-02-27T20:35:00VictordeHollanderManual testing264265--1.438--
2015-11-05T09:47:20ramgeisManual testing265266--2.875--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.942 GHz-days
Estimated T-Level:1.050
DigitsB1CurvesCompleteFacMiss
201100021 / 1000.21080.973%
255000021 / 2800.07592.762%

New Calculation Method

Total ECM effort:1.942 GHz-days
Estimated T-Level:1.050
DigitsB1CompleteFacMiss
20110000.67750.793%
25500000.06194.061%
302500000.00499.624%


ECM Summary

B1B2factorcurvesGHz-days
500005000000211.942


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31T00:00:00Wayne Beardsleyv4_computersA8DB16F4D90B6B2A0.180


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-15T15:10:55Oliver KruseGTX-1
193797714710036213965549271
E311862EA07371__no
2017-12-02T09:01:10kkmrkkblmbrbkc4.xlarge
193797714710036213965549271
E311862EA07371__no


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4156250 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (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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102
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109
TF factor-bounds graph:
267
266
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2017-12-02T09:01:10+00:00