is 2 1846511 - 1
has 555856 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L35583B3CDC2A8CBCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26832.279769.1176%18465111846511000.92878.0334%33.208471.5986%2.4809%
PrimeNet2570.010463.1579%90001600000.00143.0220%0.011864.2713%1.1134%
GPU722610.166465.5738%90001500000.00131.6303%0.167766.1350%0.5613%
Difference+7+32.1134+3.5439%+1837511+184501100+0.9274+6.4031%+33.0408+5.4635%+5.4635%

Known prime factors (2 factors, 146.6 bits, 0.00794040% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
184651135439249964617822324312271.586959627371963065
3 × 5 × 13 × 4921166010067
2021-05-28134921166010067506.9821,09139,392
1846511386920866091445586657432375.03410477079911558761
3 × 3492359970519587
2019-12-12334923599705195874,593.414,967,38227,954,901

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
184651113712185289941160176469940185189104926331123345146.620
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:33:00Carsten Kossendeyleela1000001700000---0.015--2.221%
2014-06-09T10:16:00Jocelyn LaroucheManual testing138622138622---0.011--0.940%
2014-10-03T21:04:00Jocelyn LaroucheManual testing173382173382---0.014--1.062%
2015-07-16T20:32:00mikrMSI278000091760000---0.600--7.496%
2018-08-06T14:03:25Jocelyn Larouchelow 4M184651118465110012---0.929--8.033%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:54Mark RoseManual testing258260--0.062--
2010-04-08T13:19:00Architects CubedManual testing260261--0.083--
2016-02-23T16:28:54Mark RoseManual testing261262--0.166--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.864--
2016-02-23T16:28:54Mark RoseManual testing262263--0.532--
2015-04-27T21:09:00snme2pm1Manual testing263264--1.063--
2015-04-27T21:09:00snme2pm1Manual testing264265--2.023--
2015-09-07T08:31:00ramgeisManual testing265266--4.047--
2017-10-27T12:33:02TJAOIManual testing266267--8.094--
2019-06-17T12:14:59TJAOIManual testing267268--16.19--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.994 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:18.994 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
201100010.2500.004%
25500000.94438.908%
302500000.06094.190%
3510000000.00399.719%


ECM Summary

B1B2factorcurvesGHz-days
500005000000634.356
50000500000020.138
500006600000997.718
500006600000876.782


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00ANONYMOUSv4_computers35583B3CDC2A8CBC0.100
1999-04-13T00:00:00ANONYMOUSv4_computers35583B3CDC2A8CBC0.100
2015-06-29T14:43:00MadPooManual testing35583B3CDC2A8CBC0.100


PRP results:
dateuseridcompidcofactorsres64PRP
2019-12-15T05:45:31fre_gamesgpu
38692086609144558665743
8B62FCE8420266C1no
2019-12-16T06:40:23marssystemsSYSTEM01
38692086609144558665743
8B62FCE8420266C1no
2021-05-29T16:25:40marssystemssystem11
3543924996461782232431
38692086609144558665743
8B62FCE8420266C1no


P-1 factor-bounds graph:
B1 = 1846511, B2 = 184651100 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1846511 (P-1 stage 1)
B1 = 100000, B2 = 1700000 (P-1 stage 2)
B1 = 173382 (P-1 stage 1)
B1 = 138622 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-05-29T16:25:40+00:00