is 2 2185409 - 1
has 657874 decimal digits
takes 0.144 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFD6426B781E54FEBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26713.596567.1642%25000001250000000.87468.5993%14.471169.9878%2.8237%
PrimeNet2580.017662.0690%100001800000.00182.8596%0.019463.1536%1.0847%
GPU722620.281164.5161%110001600000.00181.5695%0.282965.0731%0.5569%
Difference+5+13.3154+2.6481%+2489000+124840000+0.8728+7.0298%+14.1882+4.9148%+4.9148%

Known prime factors (1 factor, 75.1 bits, 0.00343817% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2185409415735616483492684744572375.1389511620398824492
22 × 13 × 182915776900471
2018-03-15131829157769004716,496.5950,1101,774,541

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.280%
2010-11-06T00:22:00ANONYMOUSManual testing1500015000---0.001--0.238%
2010-11-08T22:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.418%
2011-01-13T08:47:00markrtiny900001620000---0.017--2.489%
2014-06-26T21:21:00ANONYMOUSManual testing119369119369---0.011--1.022%
2014-10-10T20:28:00Jocelyn LaroucheManual testing148738148738---0.014--1.153%
2016-01-04T02:12:24Jocelyn LaroucheManual testing44287444287406---0.063--3.974%
2018-02-08T23:43:37mikrMSI250000012500000012---0.875--8.599%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:08Mark RoseManual testing258260--0.053--
2009-01-02T05:00:00Sturle Sundegnom.ifi260261--0.070--
2009-01-09T06:32:00Sturle Sundecorbusier.ifi261262--0.141--
2013-01-23T08:20:00dbaughManual testing262263--0.449--
2015-03-25T10:10:00VictordeHollanderManual testing263264--0.898--
2015-03-25T10:10:00VictordeHollanderManual testing264265--1.710--
2016-02-29T16:32:36ramgeisManual testing265266--3.419--
2016-11-24T19:46:06Gordon SpenceManual testing266267--6.839--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.994 GHz-days
Estimated T-Level:1.750
DigitsB1CurvesCompleteFacMiss
201100035 / 1000.35070.345%
255000035 / 2800.12588.230%

New Calculation Method

Total ECM effort:2.994 GHz-days
Estimated T-Level:1.750
DigitsB1CompleteFacMiss
20110001.12932.335%
25500000.10290.299%
302500000.00699.374%


ECM Summary

B1B2factorcurvesGHz-days
500005000000332.823
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computersFD6426B781E54FEB0.144


PRP results:
dateuseridcompidcofactorsres64PRP
2018-03-19T20:19:53Oliver KruseGTX-6
41573561648349268474457
0D7C41623C9A1D__no
2018-03-20T10:23:59kkmrkkblmbrbkc5.large
41573561648349268474457
0D7C41623C9A1D__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 442874, B2 = 4428740 (P-1 stage 2)
B1 = 442874 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148738 (P-1 stage 1)
B1 = 119369 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 30000 (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: 2018-03-20T10:23:59+00:00