is 2 2138189 - 1
has 643660 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFA07AC9587EAA8FDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.876367.6471%25000001250000000.87467.9126%28.751070.2070%2.5599%
PrimeNet2580.018062.0690%90001700000.00172.7309%0.019763.1048%1.0359%
GPU722620.287364.5161%100001500000.00171.4873%0.289065.0439%0.5277%
Difference+6+27.5890+3.1309%+2490000+124850000+0.8730+6.4253%+28.4620+5.1631%+5.1631%

Known prime factors (1 factor, 77.2 bits, 0.00360859% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21381891686514117806578245093132477.15839437910255047104
26 × 1759 × 350322539929
2020-08-01175935032253992916,5581,819.73,398.6

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-10-26T07:48:00Oscar Östlin7501175011---0.007--0.669%
2010-11-27T04:47:00Oscar Östlin800001500000---0.015--2.103%
2013-12-03T16:49:00c10ck3rManual testing50000010000000---0.097--4.330%
2017-10-17T20:47:30mikrMSI250000012500000012---0.875--7.913%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:06Mark RoseManual testing258260--0.054--
2009-01-04T17:03:00Sturle Sundefigaro.ifi260261--0.072--
2012-04-16T05:47:00Sebastian HornbostelManual testing261262--0.144--
2013-02-21T00:57:00dbaughManual testing262263--0.459--
2015-03-18T10:56:00VictordeHollanderManual testing263264--0.918--
2015-03-18T10:56:00VictordeHollanderManual testing264265--1.747--
2015-12-27T16:49:14ramgeisManual testing265266--3.495--
2016-10-29T15:24:10Gordon SpenceManual testing266267--6.990--
2019-04-22T13:11:42TJAOIManual testing267268--13.98--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.041 GHz-days
Estimated T-Level:21.893
DigitsB1CurvesCompleteFacMiss
2011000106 / 1001.06034.461%
2550000106 / 2800.37968.438%

New Calculation Method

Total ECM effort:9.041 GHz-days
Estimated T-Level:21.893
DigitsB1CompleteFacMiss
20110004.0771.696%
25500000.37768.576%
302500000.02497.649%
3510000000.00199.889%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001058.956
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computersFA07AC9587EAA8FD0.141
2018-04-07T04:13:37kkmrkkblmbrbkoldFA07AC9587EAA8FD0.141


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-01T11:47:16CrypticCluecruncher
168651411780657824509313
80283B13994FB8BAno
2020-08-02T02:42:59marssystemsSYSTEM01
168651411780657824509313
80283B13994FB8BAno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 80000, B2 = 1500000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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104
105
106
107
102
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104
105
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109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
250
260
270
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290
2100
Last modified: 2020-08-02T02:42:59+00:00