is 2 1855463 - 1
has 558551 decimal digits
takes 0.101 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF8EFB8B139F0F829double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.124069.1176%18554632041009301.01278.1553%33.136771.6362%2.5186%
PrimeNet2570.010363.1579%90001600000.00143.0247%0.011764.2723%1.1144%
GPU722610.165665.5738%90001500000.00131.6319%0.166966.1356%0.5618%
Difference+7+31.9584+3.5439%+1846463+203950930+1.0114+6.5234%+32.9699+5.5006%+5.5006%

Known prime factors (1 factor, 71.1 bits, 0.00383447% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
185546326146706083387356793992271.147704587105304373
3 × 139 × 1689657326869
2019-12-141391689657326869299.677,241.413,525

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-09T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.215%
2003-02-24T00:00:00ANONYMOUSv4_computers4096409600---0.002--0.445%
2014-09-19T20:39:00Jocelyn LaroucheManual testing165664165664---0.013--1.037%
2015-07-23T07:44:00mikrMSI278000091760000---0.600--7.500%
2018-08-14T12:19:45Jocelyn Larouchelow 4M185546318554630012---0.933--8.047%
2018-10-25T11:45:55Jocelyn LaroucheManual testing185546320410093012---1.013--8.155%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-09T00:00:00ANONYMOUSv4_computers21258--0.021--
2003-03-27T00:00:00ANONYMOUSv4_computers21259--0.041--
2016-02-23T16:28:55Mark RoseManual testing259260--0.041--
2010-04-12T14:11:00Architects Cubeda3_bu2260261--0.083--
2016-02-23T16:28:55Mark RoseManual testing261262--0.166--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.860--
2016-02-23T16:28:55Mark RoseManual testing262263--0.529--
2015-05-06T13:01:00snme2pm1Manual testing263264--1.058--
2015-05-06T13:01:00snme2pm1Manual testing264265--2.014--
2015-09-09T11:47:00ramgeisManual testing265266--4.027--
2018-06-11T13:42:33TJAOIManual testing266267--8.055--
2019-06-03T11:26:18TJAOIManual testing267268--16.11--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.979 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.979 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5040.020%
25500000.77046.295%
302500000.04895.350%
3510000000.00299.781%


ECM Summary

B1B2factorcurvesGHz-days
500005000000664.566
50000500000020.138
50000660000018314.28


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-07T00:00:00ANONYMOUSv4_computersF8EFB8B139F0F8290.101
2016-06-02T10:52:57MadPooManual testingF8EFB8B139F0F8290.101


PRP results:
dateuseridcompidcofactorsres64PRP
2019-12-15T12:39:34Niels_Mache_NextcloudSuperDry-X
2614670608338735679399
6D590B217A256A09no
2019-12-15T20:31:37oodairacom1
2614670608338735679399
6D590B217A256A09no


P-1 factor-bounds graph:
B1 = 1855463, B2 = 204100930 (P-1 stage 2)
B1 = 1855463, B2 = 185546300 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1855463 (P-1 stage 1)
B1 = 165664 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-08-13T08:30:55+00:00