is 2 2092589 - 1
has 629933 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-LF46C93719E3C61A3double-checked
PRP22B5B7B0DBC3B298verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.483869.1176%25000001250000000.87467.8955%29.358471.5560%2.4383%
PrimeNet2580.018363.7931%90001600000.00162.6760%0.020064.7620%0.9689%
GPU722620.293666.1290%90001400000.00151.4006%0.295166.6034%0.4744%
Difference+6+28.1902+2.9886%+2491000+124860000+0.8731+6.4949%+29.0633+4.9525%+4.9525%

Known prime factors (1 factor, 73.9 bits, 0.00353118% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2092589175391639425050023023912373.8934190780880169255
5 × 23 × 251 × 145185549287
2021-05-10251145185549287972.48754.131,408.5

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.223%
2009-07-27T02:24:00harleeP4_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%
2011-01-19T07:51:00James HeinrichQ66001400003150000---0.029--2.793%
2016-07-27T10:56:33Jocelyn LaroucheManual testing186340630000012---0.050--3.411%
2016-11-05T16:28:43Jocelyn Larouchelow 4M223608223608---0.021--1.239%
2016-11-08T17:01:24Jocelyn Larouchelow 4M268329268329---0.026--1.357%
2017-05-13T04:36:37mikrMSI250000012500000012---0.875--7.896%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-17T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-03T07:07:00Sturle Sundekraus.ifi260261--0.073--
2012-03-23T17:47:00Sebastian 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--3.571--
2016-09-22T02:15:57Gordon SpenceManual testing266267--7.142--
2019-04-01T03:15:25chuenkitManual testing267268--14.28--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.262 GHz-days
Estimated T-Level:22.964
DigitsB1CurvesCompleteFacMiss
2011000166 / 1001.66018.856%
2550000166 / 2800.59355.216%

New Calculation Method

Total ECM effort:14.262 GHz-days
Estimated T-Level:22.964
DigitsB1CompleteFacMiss
20110006.4130.164%
25500000.59455.210%
302500000.03896.313%
3510000000.00299.824%


ECM Summary

B1B2factorcurvesGHz-days
50000465000070.578
50000500000015513.18
50000500000030.255
766202417689010.245


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00ANONYMOUSv4_computersF46C93719E3C61A30.138
2017-06-12T10:36:34kkmrkkblmbrbkc4.largeF46C93719E3C61A30.138


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-12T01:10:28kutensterra
17539163942505002302391
22B5B7B0DBC3B298no


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: 2021-05-12T01:10:28+00:00