is 2 2259217 - 1
has 680093 decimal digits
takes 0.149 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP5DDC44C92BAE619Averified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.383067.6471%1000000200000000.19405.3775%26.577069.3868%1.7398%
PrimeNet2580.017062.0690%100001900000.00192.9184%0.018963.1759%1.1070%
GPU722620.271964.5161%120001900000.00211.7061%0.274065.1215%0.6054%
Difference+6+26.1110+3.1309%+988000+19810000+0.1920+3.6713%+26.3030+4.2653%+4.2653%

Known prime factors (1 factor, 78.2 bits, 0.00346160% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22592173483954729997074095302392478.20577105358405081807
3 × 131 × 196196840725399
2021-05-0813119619684072539939,9231,019,0951,903,386

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%
2011-01-05T06:35:00markrtiny1000002075000---0.020--2.405%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128410128410---0.012--0.933%
2016-03-26T08:01:33Jocelyn LaroucheManual testing34214434214406---0.049--3.291%
2019-06-29T12:08:11BigBrotherWinston10000002000000012---0.194--5.377%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:10Mark RoseManual testing21260--0.068--
2009-01-12T04:07:00Sturle Sundegluck.ifi260261--0.068--
2012-05-05T07:47:00Sebastian HornbostelManual testing261262--0.136--
2013-01-23T08:24:00dbaughManual testing262263--0.435--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.869--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.654--
2015-10-29T11:36:23ramgeisManual testing265266--3.308--
2017-01-16T00:47:35Gordon SpenceManual testing266267--6.615--
2019-05-13T13:38:16TJAOIManual testing267268--13.23--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.083 GHz-days
Estimated T-Level:22.304
DigitsB1CurvesCompleteFacMiss
2011000129 / 1001.29027.349%
2550000129 / 2800.46163.031%

New Calculation Method

Total ECM effort:11.083 GHz-days
Estimated T-Level:22.304
DigitsB1CompleteFacMiss
20110004.9620.700%
25500000.45963.187%
302500000.02997.146%
3510000000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012410.65
50000500000050.430


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computers29F53F045D82E9__0.149


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-10T15:24:15ZeroHPTouch
348395472999707409530239
5DDC44C92BAE619Ano


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 = 128410 (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: 2021-05-10T15:24:15+00:00