is 2 2188231 - 1
has 658724 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-L2C1F292D9131578Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.238867.6471%25000001250000000.87467.9308%28.113570.2129%2.5659%
PrimeNet2580.017562.0690%100001800000.00182.8603%0.019463.1539%1.0849%
GPU722620.280864.5161%110001600000.00181.5699%0.282665.0732%0.5571%
Difference+6+26.9581+3.1309%+2489000+124840000+0.8728+6.3609%+27.8309+5.1397%+5.1397%

Known prime factors (1 factor, 79.9 bits, 0.00364972% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
218823111003244123184675459237192579.864251418705867540389
251418705867540389
2020-05-04125141870586754038979,5541.306e+92.439e+9

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%
2011-01-12T17:30:00markrtiny900001620000---0.017--2.205%
2014-06-26T21:22:00ANONYMOUSManual testing119332119332---0.011--0.890%
2014-10-10T20:28:00Jocelyn LaroucheManual testing148664148664---0.014--1.007%
2016-02-13T08:02:49Jocelyn LaroucheManual testing44249144249106---0.063--3.588%
2018-02-22T01:34:48mikrMSI250000012500000012---0.875--7.931%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00Stephen Woodv4_computers21258--0.018--
2016-02-23T16:29:08Mark RoseManual testing258260--0.053--
2009-01-02T22:28:00Sturle Sundeginjtje.ifi260261--0.070--
2009-01-08T08:45:00Sturle 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--6.830--
2019-04-15T13:43:08TJAOIManual testing267268--13.66--


ECM factoring results:

Old Calculation Method

Total ECM effort:6.331 GHz-days
Estimated T-Level:3.700
DigitsB1CurvesCompleteFacMiss
201100074 / 1000.74047.534%
255000074 / 2800.26476.739%

New Calculation Method

Total ECM effort:6.331 GHz-days
Estimated T-Level:3.700
DigitsB1CompleteFacMiss
20110002.3879.190%
25500000.21680.594%
302500000.01398.680%


ECM Summary

B1B2factorcurvesGHz-days
500005000000726.160
50000500000020.171


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00Stephen Woodv4_computers2C1F292D9131578C0.144
2018-04-14T16:20:14kkmrkkblmbrbkold2C1F292D9131578C0.144


PRP results:
dateuseridcompidcofactorsres64PRP
2020-05-07T00:53:02fre_gamesgpu
1100324412318467545923719
2580F4238138BAB4no
2020-05-08T06:13:12marssystemssystem11
1100324412318467545923719
2580F4238138BAB4no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 442491, B2 = 4424910 (P-1 stage 2)
B1 = 442491 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 148664 (P-1 stage 1)
B1 = 119332 (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: 2020-05-08T06:13:12+00:00