is 2 2099393 - 1
has 631981 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-L1054BB236BBBC39Adouble-checked
PRP143D486DD04EA337verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.391567.6471%25000001250000000.87467.8981%29.266170.2023%2.5553%
PrimeNet2580.018362.0690%90001600000.00162.6776%0.019963.0846%1.0156%
GPU722620.292664.5161%90001400000.00151.4016%0.294265.0135%0.4973%
Difference+6+28.0988+3.1309%+2491000+124860000+0.8731+6.4965%+28.9719+5.1889%+5.1889%

Known prime factors (1 factor, 77.5 bits, 0.00369182% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20993932145597422887397215589832477.50651100423381601187
3 × 11 × 1051 × 1097 × 1343077937
2021-01-021097134307793718,6416.976413.030

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.223%
2009-08-01T02:47:00harleeP4_260020000260000---0.003--0.877%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.351%
2011-01-09T14:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.510%
2011-01-23T19:27:00James HeinrichQ66001350002970000---0.028--2.739%
2016-04-27T14:05:59Jocelyn LaroucheManual testing2700001002505612---0.076--3.975%
2017-06-14T10:17:32mikrMSI250000012500000012---0.875--7.898%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
2000-04-12T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:05Mark RoseManual testing258260--0.055--
2009-01-03T04:55:00Sturle Sundeothello.ifi260261--0.073--
2012-03-24T15:48:00Sebastian HornbostelManual testing261262--0.146--
2013-09-04T10:21:00ramgeisManual testing262263--0.468--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.935--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.780--
2015-10-31T16:44:15ramgeisManual testing265266--3.559--
2016-09-25T22:37:38Gordon SpenceManual testing266267--7.119--
2019-04-02T01:12:41chuenkitManual testing267268--14.24--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.934 GHz-days
Estimated T-Level:22.714
DigitsB1CurvesCompleteFacMiss
2011000152 / 1001.52021.704%
2550000152 / 2800.54358.052%

New Calculation Method

Total ECM effort:12.934 GHz-days
Estimated T-Level:22.714
DigitsB1CompleteFacMiss
20110004.9030.742%
25500000.44364.201%
302500000.02797.308%
3510000000.00199.875%


ECM Summary

B1B2factorcurvesGHz-days
50000500000014512.34
50000500000070.596


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computers1054BB236BBBC39A0.138
2017-06-13T21:55:49kkmrkkblmbrbkc4.large1054BB236BBBC39A0.138


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-03T07:39:27Niels_Mache_Nextcloudconf4-a
214559742288739721558983
143D486DD04EA337no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 270000, B2 = 10025056 (P-1 stage 2)
B1 = 135000, B2 = 2970000 (P-1 stage 2)
B1 = 270000 (P-1 stage 1)
B1 = 135000 (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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1010
TF factor-bounds graph:
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Last modified: 2021-01-03T07:39:27+00:00