is 2 2461093 - 1
has 740863 decimal digits
takes 0.171 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7624B5CD87B46A35double-checked
PRPFE805AA309B43369verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26948.509768.1159%2382500857701000.69656.9373%49.206270.3278%2.2119%
PrimeNet2590.031262.7119%100001800000.00192.5304%0.033163.6554%0.9435%
GPU722630.648565.0794%100001600000.00181.3346%0.650365.5454%0.4660%
Difference+6+47.8612+3.0366%+2372500+85610100+0.6947+5.6027%+48.5559+4.7824%+4.7824%

Known prime factors (1 factor, 95.2 bits, 0.00386772% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2461093451368897350227755987537868072995.1889170090227192303500671
17 × 234089 × 9421823 × 244573129
2021-07-1794218232445731294.919e+92.23612.5030

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.188%
2003-10-31T00:00:00Team Prime Ribv4_computers15000232500---0.003--0.673%
2010-11-19T22:14:00Jocelyn LaroucheManual testing2000020000---0.002--0.220%
2011-01-20T10:41:00Oscar Östlin950001947500---0.020--2.105%
2014-09-02T00:10:00Jocelyn LaroucheManual testing121080121080---0.012--0.797%
2014-10-13T06:26:00mikrMSI238250085770100---0.697--6.937%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-08-16T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:14Mark RoseManual testing259260--0.031--
2009-01-13T06:08:00Sturle Sundecorbusier.ifi260261--0.062--
2012-06-07T22:43:00Sebastian HornbostelManual testing261262--0.125--
2013-12-04T21:12:00Jerry HallettManual testing262263--0.399--
2015-03-03T21:37:00VictordeHollanderManual testing263264--0.798--
2015-03-03T21:37:00VictordeHollanderManual testing264265--1.518--
2015-10-26T11:51:00ramgeisManual testing265266--3.036--
2017-07-15T13:17:46Gordon SpenceManual testing266267--6.073--
2019-07-01T11:11:01TJAOIManual testing267268--12.15--
2021-07-12T19:27:36TJAOIManual testing268269--24.29--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.677 GHz-days
Estimated T-Level:22.393
DigitsB1CurvesCompleteFacMiss
2011000134 / 1001.34026.009%
2550000134 / 2800.47961.914%

New Calculation Method

Total ECM effort:12.677 GHz-days
Estimated T-Level:22.393
DigitsB1CompleteFacMiss
20110004.3651.272%
25500000.39367.511%
302500000.02497.613%
3510000000.00199.890%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.375
50000500000012511.47
50000500000020.183
50000520000070.653


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computers7624B5CD87B46A350.171
2018-05-27T00:29:52kkmrkkblmbrbkold7624B5CD87B46A350.171


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-18T05:03:46GURA LOVE
45136889735022775598753786807
FE805AA309B43369no


P-1 factor-bounds graph:
B1 = 2382500, B2 = 85770100 (P-1 stage 2)
B1 = 2382500 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 121080 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 232500 (P-1 stage 2)
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: 2021-07-18T05:03:46+00:00