is 2 2498593 - 1
has 752152 decimal digits
takes 0.173 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA7E313A3E5948519double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26947.781668.1159%2382500857701000.69656.9482%48.478270.3313%2.2154%
PrimeNet2590.030762.7119%100001800000.00192.5376%0.032763.6581%0.9462%
GPU722630.638865.0794%110001700000.00201.4073%0.640765.5708%0.4914%
Difference+6+47.1428+3.0366%+2371500+85600100+0.6946+5.5409%+47.8374+4.7605%+4.7605%

Known prime factors:
No known factors for M2498593

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.189%
2003-10-31T00:00:00Team Prime Ribv4_computers15000228750---0.003--0.671%
2010-12-16T22:39:00Jocelyn LaroucheManual testing2000020000---0.002--0.221%
2011-01-25T11:16:00Oscar Östlin950001971250---0.020--2.116%
2014-09-10T00:51:00Jocelyn LaroucheManual testing120688120688---0.012--0.798%
2014-12-16T01:53:00mikrMSI238250085770100---0.697--6.948%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-16T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:15Mark RoseManual testing259260--0.031--
2009-01-11T00:11:00Sturle Sundegnom.ifi260261--0.061--
2012-06-11T16:43:00Sebastian HornbostelManual testing261262--0.123--
2013-01-14T11:53:00dbaughManual testing262263--0.393--
2015-03-03T21:37:00VictordeHollanderManual testing263264--0.786--
2015-03-03T21:37:00VictordeHollanderManual testing264265--1.495--
2015-10-31T16:44:07ramgeisManual testing265266--2.991--
2017-07-27T10:22:10Gordon SpenceManual testing266267--5.982--
2019-03-04T13:44:30TJAOIManual testing267268--11.96--
2021-05-27T10:39:17TJAOIManual testing268269--23.93--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.549 GHz-days
Estimated T-Level:22.804
DigitsB1CurvesCompleteFacMiss
2011000157 / 1001.57020.641%
2550000157 / 2800.56157.023%

New Calculation Method

Total ECM effort:14.549 GHz-days
Estimated T-Level:22.804
DigitsB1CompleteFacMiss
20110006.0610.233%
25500000.56157.051%
302500000.03596.520%
3510000000.00299.835%


ECM Summary

B1B2factorcurvesGHz-days
50000500000014313.15
50000515000070.652
50000700000070.752


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-30T00:00:00ANONYMOUSv4_computersA7E313A3E59485190.173
2000-09-29T00:00:00ANONYMOUSv4_computersA7E313A3E59485190.173
2000-12-14T00:00:00ANONYMOUSv4_computersA7E313A3E59485190.173
2001-06-30T00:00:00ANONYMOUSv4_computersA7E313A3E59485190.173
2018-06-02T00:31:18kkmrkkblmbrbkoldA7E313A3E59485190.173


PRP results:
No PRP results for M2498593


P-1 factor-bounds graph:
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 2382500 (P-1 stage 1)
B1 = 95000, B2 = 1971250 (P-1 stage 2)
B1 = 120688 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (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: 2022-05-19T08:04:30+00:00