is 2 2549423 - 1
has 767453 decimal digits
takes 0.177 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LAC3D940E7B102391double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.655267.1642%30000001350000001.02508.9485%12.680270.1025%2.9383%
PrimeNet2590.030162.7119%110002000000.00212.6851%0.032363.7131%1.0012%
GPU722630.626065.0794%120001800000.00211.4780%0.628265.5955%0.5161%
Difference+4+11.0291+2.0848%+2988000+134820000+1.0229+7.4705%+12.0520+4.5070%+4.5070%

Known prime factors (1 factor, 86.7 bits, 0.00340183% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25494231280659906771991855916980892786.72725116661824498952428
22 × 3 × 72 × 71 × 503 × 20593 × 58081609
2018-10-22205935808160910,282,3650.32020.5944

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.292%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.884%
2010-12-19T21:43:00Jocelyn LaroucheManual testing2000020000---0.002--0.315%
2011-01-08T14:34:00Jocelyn LaroucheManual testing5000050000---0.005--0.620%
2011-02-24T21:59:00James Heinrichi7-9203000008000000---0.072--4.387%
2018-08-17T10:20:10Jocelyn Larouchelow 4M60000060000006---0.090--4.470%
2018-10-22T17:45:12mikrMSI3000000135000000122786.7271.0250.3542.0508.948%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-30T00:00:00ANONYMOUSv4_computers21258--0.015--
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-28T21:35:00Sturle Sundegoomba.ifi260261--0.060--
2012-06-16T06:43:00Sebastian HornbostelManual testing261262--0.120--
2013-01-23T08:30:00dbaughManual testing262263--0.385--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.770--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.466--
2015-11-08T21:02:58ramgeisManual testing265266--2.931--
2017-08-08T13:42:12Gordon SpenceManual testing266267--5.862--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.766 GHz-days
Estimated T-Level:1.500
DigitsB1CurvesCompleteFacMiss
201100030 / 1000.30073.970%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:2.766 GHz-days
Estimated T-Level:1.500
DigitsB1CompleteFacMiss
20110000.96837.994%
25500000.08791.625%
302500000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.766


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-13T00:00:00ANONYMOUSv4_computersAC3D940E7B1023910.177
1999-03-26T00:00:00ANONYMOUSv4_computersAC3D940E7B1023910.177
2018-06-11T20:46:13kkmrkkblmbrbkoldAC3D940E7B1023910.177


PRP results:
dateuseridcompidcofactorsres64PRP
2018-10-24T18:13:45marcomichsisg6
128065990677199185591698089
21E64952042EB8__no
2018-10-24T18:38:34ATHec2-PRPCFDC
128065990677199185591698089
21E64952042EB8__no


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 = 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)
102
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102
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104
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109
TF factor-bounds graph:
267
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265
264
263
262
261
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258
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2100
Last modified: 2018-10-24T18:38:34+00:00