is 2 2567353 - 1
has 772851 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-LC0AD474A8C29C42Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.216567.6471%32000001120000000.91808.0782%24.134570.2606%2.6135%
PrimeNet2590.029962.7119%110002000000.00212.6886%0.032163.7144%1.0025%
GPU722630.621765.0794%120001800000.00211.4800%0.623865.5962%0.5168%
Difference+5+22.5948+2.5677%+3188000+111820000+0.9159+6.5982%+23.5107+4.6644%+4.6644%

Known prime factors (1 factor, 73.8 bits, 0.00287294% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2567353159767390570732848565512373.7583111519735905675
52 × 83 × 5563 × 269553763
2020-08-0255632695537631,418.41.47762.7587

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.237%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.757%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.265%
2011-01-03T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.367%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.532%
2011-04-15T19:11:00James HeinrichWHS1750004112500---0.039--3.173%
2016-05-26T14:22:09mikrMSI320000011200000012---0.918--8.078%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-27T05:38:00Sturle Sundedittersdorf.ifi260261--0.060--
2012-06-17T15:42:00Sebastian HornbostelManual testing261262--0.120--
2013-01-23T08:30:00dbaughManual testing262263--0.382--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.765--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.455--
2015-11-08T21:03:02ramgeisManual testing265266--2.911--
2017-08-13T10:39:20Gordon SpenceManual testing266267--5.821--
2019-05-27T13:36:55TJAOIManual testing267268--11.64--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.892 GHz-days
Estimated T-Level:2.650
DigitsB1CurvesCompleteFacMiss
201100053 / 1000.53058.704%
255000053 / 2800.18982.727%

New Calculation Method

Total ECM effort:4.892 GHz-days
Estimated T-Level:2.650
DigitsB1CompleteFacMiss
20110001.71018.092%
25500000.15585.683%
302500000.01099.053%


ECM Summary

B1B2factorcurvesGHz-days
500005000000514.707
50000500000020.185


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computersC0AD474A8C29C42A0.178
2018-06-16T00:21:16kkmrkkblmbrbkoldC0AD474A8C29C42A0.178


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-03T15:22:22Alexander Pavlicinoldlaptop
15976739057073284856551
E91171D375D6B60Fno
2020-08-04T07:17:57marssystemsSYSTEM01
15976739057073284856551
E91171D375D6B60Fno


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
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 = 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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107
102
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109
TF factor-bounds graph:
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266
265
264
263
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2100
Last modified: 2020-08-04T07:17:57+00:00