is 2 2427137 - 1
has 730642 decimal digits
takes 0.164 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC3BCC9E3A9ED0770double-checked
PRPD40412EE55422228verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26949.188368.1159%1986400695240000.55506.5876%49.743370.2163%2.1004%
PrimeNet2590.031662.7119%100001800000.00192.5238%0.033563.6529%0.9411%
GPU722630.657665.0794%100001500000.00171.3051%0.659365.5351%0.4557%
Difference+6+48.5307+3.0366%+1976400+69374000+0.5533+5.2825%+49.0840+4.6812%+4.6812%

Known prime factors (1 factor, 85.9 bits, 0.00353909% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2427137721184840212620187067324412685.89914856698245970874060
22 × 32 × 5 × 41 × 811 × 6841 × 362848637
2021-09-2068413628486375,702,0851.93713.6168

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.188%
2010-11-10T11:27:00Jocelyn LaroucheManual testing1500015000---0.001--0.169%
2010-11-17T11:34:00Jocelyn LaroucheManual testing2000020000---0.002--0.219%
2010-12-17T22:28:00markrtiny950001923750---0.019--2.094%
2014-04-26T06:21:00mikrMSI198640069524000---0.555--6.588%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
2016-02-23T16:29:14Mark RoseManual testing259260--0.032--
2009-01-14T20:44:00Sturle Sundegimba.ifi260261--0.063--
2012-06-05T09:42:00Sebastian HornbostelManual testing261262--0.127--
2013-01-23T08:28:00dbaughManual testing262263--0.404--
2015-02-27T20:40:00VictordeHollanderManual testing263264--0.809--
2015-02-27T20:40:00VictordeHollanderManual testing264265--1.539--
2015-10-23T09:34:51ramgeisManual testing265266--3.079--
2017-07-05T06:34:30Gordon SpenceManual testing266267--6.158--
2019-04-22T13:11:33TJAOIManual testing267268--12.32--
2021-08-02T10:51:14TJAOIManual testing268269--24.63--


ECM factoring results:

Old Calculation Method

Total ECM effort:13.560 GHz-days
Estimated T-Level:22.714
DigitsB1CurvesCompleteFacMiss
2011000152 / 1001.52021.704%
2550000152 / 2800.54358.052%

New Calculation Method

Total ECM effort:13.560 GHz-days
Estimated T-Level:22.714
DigitsB1CompleteFacMiss
20110004.9110.737%
25500000.44364.193%
302500000.02797.307%
3510000000.00199.875%


ECM Summary

B1B2factorcurvesGHz-days
50000500000013812.30
50000500000070.624
50000515000070.632


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-02T00:00:00ANONYMOUSv4_computersC3BCC9E3A9ED07700.164
2018-05-21T09:27:07kkmrkkblmbrbkoldC3BCC9E3A9ED07700.164


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-22T02:38:04GANLMS-11
72118484021262018706732441
D40412EE55422228no


P-1 factor-bounds graph:
B1 = 1986400, B2 = 69524000 (P-1 stage 2)
B1 = 1986400 (P-1 stage 1)
B1 = 95000, B2 = 1923750 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 20000 (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: 2021-09-22T02:38:04+00:00