is 2 2181349 - 1
has 656652 decimal digits
takes 0.143 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2E03139A6DB76C4Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.324867.6471%25000001250000000.87467.9283%28.199470.2121%2.5650%
PrimeNet2580.017662.0690%100001800000.00182.8586%0.019463.1533%1.0843%
GPU722620.281664.5161%110001600000.00181.5689%0.283565.0728%0.5567%
Difference+6+27.0431+3.1309%+2489000+124840000+0.8728+6.3594%+27.9160+5.1393%+5.1393%

Known prime factors (1 factor, 69.1 bits, 0.00316875% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21813496421192736329985613592169.121147183984230171
7 × 7937 × 2649147469
2020-03-117937264914746989.03013.76125.700

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.226%
2011-01-14T04:06:00markrtiny900001620000---0.017--2.204%
2014-06-26T21:21:00ANONYMOUSManual testing119424119424---0.011--0.890%
2014-10-10T20:28:00Jocelyn LaroucheManual testing148848148848---0.014--1.007%
2016-01-04T02:12:25Jocelyn LaroucheManual testing44343244343206---0.063--3.589%
2018-01-23T17:14:23mikrMSI250000012500000012---0.875--7.928%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:08Mark RoseManual testing258260--0.053--
2009-01-02T10:43:00Sturle Sundekrebs.ifi260261--0.070--
2009-01-06T14:54:00Sturle Sundeeberlin.ifi261262--0.141--
2013-09-13T20:29:00BloodIceManual testing262263--0.450--
2015-03-25T10:10:00VictordeHollanderManual testing263264--0.900--
2015-03-25T10:10:00VictordeHollanderManual testing264265--1.713--
2016-01-02T13:50:58ramgeisManual testing265266--3.426--
2016-11-24T19:46:05Gordon SpenceManual testing266267--6.851--
2019-04-22T13:11:41TJAOIManual testing267268--13.70--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.045 GHz-days
Estimated T-Level:2.950
DigitsB1CurvesCompleteFacMiss
201100059 / 1000.59055.268%
255000059 / 2800.21180.970%

New Calculation Method

Total ECM effort:5.045 GHz-days
Estimated T-Level:2.950
DigitsB1CompleteFacMiss
20110001.90314.909%
25500000.17284.197%
302500000.01198.946%


ECM Summary

B1B2factorcurvesGHz-days
500005000000574.874
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computers2E03139A6DB76C4E0.143
2018-04-13T17:43:39kkmrkkblmbrbkold2E03139A6DB76C4E0.143


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-12T08:02:46Jinyuan WangManual testing
642119273632998561359
1EA04A1D77601C88no
2020-03-13T07:29:14Chang Chia-Tchehomura
642119273632998561359
1EA04A1D77601C88no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 443432, B2 = 4434320 (P-1 stage 2)
B1 = 443432 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148848 (P-1 stage 1)
B1 = 119424 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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105
106
107
102
103
104
105
106
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108
109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2020-03-13T07:29:14+00:00