is 2 2258227 - 1
has 679795 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA1720D1FF821A97Fdouble-checked
PRP5D7DC885AEA64365verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.394567.6471%1000000200000000.19405.3772%26.588669.3867%1.7397%
PrimeNet2580.017062.0690%100001900000.00192.9182%0.018963.1759%1.1069%
GPU722620.272164.5161%120001900000.00211.7060%0.274165.1215%0.6054%
Difference+6+26.1225+3.1309%+988000+19810000+0.1920+3.6712%+26.3145+4.2653%+4.2653%

Known prime factors (1 factor, 68.3 bits, 0.00302479% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22582273650532569473437410572168.30780827405072064
26 × 7 × 180418314893
2020-09-256418041831489351.744937.141,750.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-11-06T16:27:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-12T11:44:00Jocelyn LaroucheManual testing3000030000---0.003--0.357%
2011-01-05T12:07:00markrtiny1000002075000---0.020--2.405%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128422128422---0.012--0.933%
2016-03-26T08:01:32Jocelyn LaroucheManual testing34214434214406---0.049--3.291%
2019-06-29T02:59:54BigBrotherWinston10000002000000012---0.194--5.377%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:10Mark RoseManual testing21260--0.068--
2009-01-11T17:15:00Sturle Sundegluck.ifi260261--0.068--
2012-05-04T19:48:00Sebastian HornbostelManual testing261262--0.136--
2013-12-04T06:19:00LaurVManual testing262263--0.435--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.869--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.655--
2015-10-29T11:36:23ramgeisManual testing265266--3.309--
2017-01-16T00:47:35Gordon SpenceManual testing266267--6.618--
2019-05-13T13:38:16TJAOIManual testing267268--13.24--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.106 GHz-days
Estimated T-Level:21.893
DigitsB1CurvesCompleteFacMiss
2011000106 / 1001.06034.461%
2550000106 / 2800.37968.438%

New Calculation Method

Total ECM effort:9.106 GHz-days
Estimated T-Level:21.893
DigitsB1CompleteFacMiss
20110003.4193.273%
25500000.30973.415%
302500000.01998.115%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001028.763
50000500000040.344


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computersA1720D1FF821A97F0.148
2018-04-24T03:05:35kkmrkkblmbrbkoldA1720D1FF821A97F0.148


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-25T05:58:13ATHec2-PRPCF
365053256947343741057
5D7DC885AEA64365no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 342144, B2 = 3421440 (P-1 stage 2)
B1 = 342144 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 128422 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-09-25T05:58:13+00:00