is 2 2188481 - 1
has 658799 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-L5D8FEB2533E52A92double-checked
PRP90A560B6D39D76ABverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26954.552468.1159%25000001250000000.87467.3041%55.427070.4448%2.3289%
PrimeNet2580.017562.0690%100001800000.00182.8603%0.019463.1539%1.0849%
GPU722620.280764.5161%110001600000.00181.5700%0.282565.0732%0.5571%
Difference+7+54.2716+3.5998%+2489000+124840000+0.8728+5.7342%+55.1444+5.3716%+5.3716%

Known prime factors (1 factor, 81.3 bits, 0.00371429% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
218848129491365907068777609153532581.287673786199356283596
22 × 11 × 15313322712642809
2021-11-291115313322712642809285,58379,541,227148,560,860

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.182%
2010-11-04T10:39:00Jocelyn LaroucheManual testing1500015000---0.001--0.165%
2010-11-08T22:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.300%
2011-01-12T15:55:00markrtiny900001620000---0.017--1.951%
2014-06-26T21:22:00ANONYMOUSManual testing119328119328---0.011--0.773%
2014-10-10T20:28:00Jocelyn LaroucheManual testing148656148656---0.014--0.878%
2016-02-13T08:02:49Jocelyn LaroucheManual testing44245544245506---0.063--3.235%
2018-02-23T07:46:23mikrMSI250000012500000012---0.875--7.304%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-30T00:00:00ANONYMOUSv4_computers21257--0.009--
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:08Mark RoseManual testing258260--0.053--
2009-01-03T01:48:00Sturle Sundeginjtje.ifi260261--0.070--
2009-01-08T15:22:00Sturle Sundefungo.ifi261262--0.140--
2013-12-03T17:40:00LaurVManual testing262263--0.449--
2015-03-25T10:10:00VictordeHollanderManual testing263264--0.897--
2015-03-25T10:10:00VictordeHollanderManual testing264265--1.707--
2016-01-02T13:51:00ramgeisManual testing265266--3.415--
2016-11-24T19:46:06Gordon SpenceManual testing266267--6.829--
2019-04-15T13:43:08TJAOIManual testing267268--13.66--
2021-07-15T09:28:00TJAOIManual testing268269--27.32--


ECM factoring results:

Old Calculation Method

Total ECM effort:16.091 GHz-days
Estimated T-Level:23.339
DigitsB1CurvesCompleteFacMiss
2011000187 / 1001.87015.268%
2550000187 / 2800.66851.219%

New Calculation Method

Total ECM effort:16.091 GHz-days
Estimated T-Level:23.339
DigitsB1CompleteFacMiss
20110006.0550.235%
25500000.54757.865%
302500000.03496.687%
3510000000.00299.846%


ECM Summary

B1B2factorcurvesGHz-days
50000500000016814.37
50000500000050.428
50000515000070.606
50000675000070.685


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-30T00:00:00ANONYMOUSv4_computers5D8FEB2533E52A920.144
1999-07-12T00:00:00ANONYMOUSv4_computers5D8FEB2533E52A920.144
2018-04-14T17:25:41kkmrkkblmbrbkold5D8FEB2533E52A920.144


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-30T00:43:25Tucker KaoOld_Timer_2013
2949136590706877760915353
90A560B6D39D76ABno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 442455, B2 = 4424550 (P-1 stage 2)
B1 = 442455 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148656 (P-1 stage 1)
B1 = 119328 (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: 2021-11-30T00:43:25+00:00