is 2 2188349 - 1
has 658759 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-LB697807BCEBF526Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.237467.6471%25000001250000000.87467.9309%28.112070.2129%2.5659%
PrimeNet2580.017562.0690%100001800000.00182.8603%0.019463.1539%1.0849%
GPU722620.280764.5161%110001600000.00181.5699%0.282665.0732%0.5571%
Difference+6+26.9566+3.1309%+2489000+124840000+0.8728+6.3609%+27.8294+5.1397%+5.1397%

Known prime factors (1 factor, 77.2 bits, 0.00352638% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21883491699450732845953188230892477.16938829517888736056
23 × 59 × 82265927730373
2020-07-08598226592773037320,575427,310798,096

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.226%
2010-11-04T10:39:00Jocelyn LaroucheManual testing1500015000---0.001--0.198%
2010-11-08T22:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.355%
2011-01-12T16:30:00markrtiny900001620000---0.017--2.206%
2014-06-26T21:22:00ANONYMOUSManual testing119330119330---0.011--0.890%
2014-10-10T20:28:00Jocelyn LaroucheManual testing148660148660---0.014--1.007%
2016-02-13T08:02:49Jocelyn LaroucheManual testing44247344247306---0.063--3.588%
2018-02-22T23:12:20mikrMSI250000012500000012---0.875--7.931%


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--
2009-01-03T00:34:00Sturle Sundeginjtje.ifi260261--0.070--
2009-01-08T12:55:00Sturle Sundefungo.ifi261262--0.140--
2013-01-23T08:20:00dbaughManual 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--6.830--
2019-04-15T13:43:08TJAOIManual testing267268--13.66--


ECM factoring results:

Old Calculation Method

Total ECM effort:7.699 GHz-days
Estimated T-Level:4.500
DigitsB1CurvesCompleteFacMiss
201100090 / 1000.90040.473%
255000090 / 2800.32172.470%

New Calculation Method

Total ECM effort:7.699 GHz-days
Estimated T-Level:4.500
DigitsB1CompleteFacMiss
20110002.9035.485%
25500000.26276.921%
302500000.01698.397%


ECM Summary

B1B2factorcurvesGHz-days
500005000000877.443
50000500000030.257


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-30T00:00:00ANONYMOUSv4_computersB697807BCEBF526A0.144
1999-05-02T00:00:00ANONYMOUSv4_computersB697807BCEBF526A0.144
2018-04-14T17:03:04kkmrkkblmbrbkoldB697807BCEBF526A0.144


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-09T09:11:08pew10980xe_1
169945073284595318823089
DBFCFBB284B47477no
2020-07-10T06:49:40marssystemssystem03
169945073284595318823089
DBFCFBB284B47477no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 442473, B2 = 4424730 (P-1 stage 2)
B1 = 442473 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148660 (P-1 stage 1)
B1 = 119330 (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: 2020-07-10T06:49:40+00:00