is 2 3028721 - 1
has 911736 decimal digits
takes 0.258 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L39D7D8F15A0A6279double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.679967.6471%12043081164471000.92357.5800%20.603470.0994%2.4523%
PrimeNet2600.050763.3333%120002200000.00292.5195%0.053664.2572%0.9238%
GPU722641.175265.6250%130002200000.00301.4290%1.178266.1162%0.4912%
Difference+4+18.5047+2.0221%+1191308+116227100+0.9205+6.1510%+19.4252+3.9832%+3.9832%

Known prime factors (1 factor, 82.4 bits, 0.00272011% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
302872163127110367560001077129912582.3851042141391821168095
3 × 5 × 31 × 2241164283486383
2016-01-24312241164283486383538,63815,069,09128,144,865

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.147%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.248%
2010-10-11T07:01:00markrtiny1150002357500---0.029--2.661%
2020-12-29T15:27:49Jocelyn LaroucheManual testing30287230287216---0.056--3.275%
2022-01-06T11:35:17Jocelyn LaroucheManual testing1204308116447100---0.923--7.580%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-08T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-01-31T01:27:00Jayson Kingatlas260261--0.051--
2010-10-10T19:04:00Sid & AndyBuzz261262--0.101--
2013-01-07T13:54:00dbaughManual testing262263--0.324--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.648--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.234--
2015-06-02T19:30:00ThaManual testing265266--2.467--
2022-03-11T19:04:01LordJuliusManual testing266267--4.935--
2021-03-20T11:55:02Jocelyn LaroucheManual testing267268--9.87--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.163 GHz-days
Estimated T-Level:0.500
DigitsB1CurvesCompleteFacMiss
201100010 / 1000.10090.438%
255000010 / 2800.03696.485%

New Calculation Method

Total ECM effort:1.163 GHz-days
Estimated T-Level:0.500
DigitsB1CompleteFacMiss
20110000.32372.428%
25500000.02997.127%
302500000.00299.821%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.047
50000500000010.116


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06T00:00:00ANONYMOUSv4_computers39D7D8F15A0A62790.258


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:33:40alpertronManual testing
6312711036756000107712991
3F0A909B8E17C4__no
2017-11-17T09:01:50Oliver KruseThreadripper
6312711036756000107712991
3F0A909B8E17C4__no


P-1 factor-bounds graph:
B1 = 1204308, B2 = 116447100 (P-1 stage 2)
B1 = 1204308 (P-1 stage 1)
B1 = 302872, B2 = 3028721 (P-1 stage 2)
B1 = 302872 (P-1 stage 1)
B1 = 115000, B2 = 2357500 (P-1 stage 2)
B1 = 115000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-11T19:04:01+00:00