is 2 2092243 - 1
has 629828 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L789968F31888D900double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.488569.1176%25000001250000000.87467.8954%29.363171.5559%2.4383%
PrimeNet2580.018463.7931%90001600000.00162.6759%0.020064.7620%0.9689%
GPU722620.293666.1290%90001400000.00151.4006%0.295266.6034%0.4744%
Difference+6+28.1949+2.9886%+2491000+124860000+0.8731+6.4948%+29.0680+4.9525%+4.9525%

Known prime factors (1 factor, 84.1 bits, 0.00402020% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2092243209090888848923825189217932684.1124996811767297675872
25 × 3 × 17 × 3061771916236321
2020-08-153230617719162363212,874,51415,903,60929,703,512

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.223%
2009-07-27T01:49:00harleeP4_260020000260000---0.003--0.876%
2010-12-28T23:08:00Jocelyn LaroucheManual testing3000030000---0.003--0.351%
2011-01-08T14:34:00Jocelyn LaroucheManual testing5000050000---0.005--0.510%
2011-01-19T05:20:00James HeinrichQ66001400003150000---0.029--2.793%
2016-07-27T10:56:33Jocelyn LaroucheManual testing186340630000012---0.050--3.411%
2016-11-05T16:28:42Jocelyn Larouchelow 4M223608223608---0.021--1.239%
2016-11-08T17:01:23Jocelyn Larouchelow 4M268329268329---0.026--1.357%
2017-05-11T10:59:12mikrMSI250000012500000012---0.875--7.895%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-03T02:30:00Sturle Sundekraus.ifi260261--0.073--
2012-03-23T16:48:00Sebastian HornbostelManual testing261262--0.147--
2013-09-03T09:36:00ramgeisManual testing262263--0.469--
2015-04-10T15:56:00VictordeHollanderManual testing263264--0.938--
2015-04-10T15:56:00VictordeHollanderManual testing264265--1.786--
2015-11-06T09:16:14ramgeisManual testing265266--3.572--
2016-09-22T02:15:57Gordon SpenceManual testing266267--7.143--
2019-04-01T03:15:25chuenkitManual testing267268--14.29--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.037 GHz-days
Estimated T-Level:22.107
DigitsB1CurvesCompleteFacMiss
2011000118 / 1001.18030.546%
2550000118 / 2800.42165.561%

New Calculation Method

Total ECM effort:10.037 GHz-days
Estimated T-Level:22.107
DigitsB1CompleteFacMiss
20110003.8062.223%
25500000.34470.891%
302500000.02197.904%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001179.95
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers789968F31888D9000.138
2017-06-12T08:43:56kkmrkkblmbrbkc4.large789968F31888D9000.138


PRP results:
dateuseridcompidcofactorsres64PRP
2020-08-15T20:46:53George Woltman298test
20909088884892382518921793
A98CED37746E920Cno
2020-08-16T15:15:19marssystemsSYSTEM01
20909088884892382518921793
A98CED37746E920Cno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 186340, B2 = 6300000 (P-1 stage 2)
B1 = 140000, B2 = 3150000 (P-1 stage 2)
B1 = 268329 (P-1 stage 1)
B1 = 223608 (P-1 stage 1)
B1 = 186340 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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: 2020-08-16T15:15:19+00:00