is 2 3116459 - 1
has 938148 decimal digits
takes 0.265 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPF9D9B0F0D671FE__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27076.673868.5714%30000001000000001.02246.8335%77.696270.7191%2.1477%
PrimeNet2600.049363.3333%130002400000.00312.6447%0.052464.3031%0.9697%
GPU722641.142165.6250%140002400000.00321.5087%1.145466.1436%0.5186%
Difference+6+75.5317+2.9464%+2986000+99760000+1.0192+5.3248%+76.5508+4.5755%+4.5755%

Known prime factors (1 factor, 97.3 bits, 0.00312136% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31164591918430466820585377624264280393097.27630779010197480303408841
3 × 10259670065826767802947
2021-12-233102596700658267678029471.931e+106.898e+131.288e+14

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.162%
2009-07-03T00:40:00Carsten Kossendeyleela15000180000---0.003--0.554%
2011-08-26T02:15:00Squeeky_SquirrelT7500_22001050002126250---0.027--2.019%
2016-09-29T01:19:08Squeeky_Squirreli5-5250U_1600195000546000012---0.059--2.832%
2016-10-03T01:22:51Jocelyn Larouchelow 4M10500025515006---0.029--2.109%
2018-07-17T23:14:18Jocelyn Larouchelow 4M67000013400004---0.087--2.256%
2018-07-18T06:34:21Jocelyn Larouchelow 4M6700002010000---0.092--2.571%
2018-07-19T10:19:07Jocelyn Larouchelow 4M6700003350000---0.101--2.973%
2018-10-16T07:55:05mikrMSI300000010000000012---1.022--6.834%
2022-02-20T22:19:12Jocelyn LaroucheManual testing1000000128282700---0.979--6.349%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-09T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-12T05:18:00S485122USB-Z260261--0.049--
2011-11-19T23:47:00markroldgamer261262--0.099--
2013-01-03T08:41:00dbaughManual testing262263--0.315--
2015-02-07T18:29:00VictordeHollanderManual testing263264--0.630--
2015-02-07T18:29:00VictordeHollanderManual testing264265--1.199--
2015-06-11T22:04:00ThaManual testing265266--2.398--
2017-04-14T16:24:30Gordon SpenceManual testing266267--4.796--
2019-01-21T12:54:09TJAOIManual testing267268--9.59--
2020-11-26T06:02:37axnManual testing268269--19.18--
2020-11-26T06:02:37axnManual testing269270--38.37--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.708 GHz-days
Estimated T-Level:4.050
DigitsB1CurvesCompleteFacMiss
201100081 / 1000.81044.305%
255000081 / 2800.28974.841%

New Calculation Method

Total ECM effort:9.708 GHz-days
Estimated T-Level:4.050
DigitsB1CompleteFacMiss
20110002.6447.107%
25500000.23978.713%
302500000.01598.535%


ECM Summary

B1B2factorcurvesGHz-days
500005000000647.482
50000500000030.351
50000653646770.930
50000675000070.945


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27T00:00:00ANONYMOUSv4_computers1FC246D9AD3344__0.265


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-23T22:53:28Tucker KaoOld_Timer_2013
191843046682058537762426428039
F9D9B0F0D671FE__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000, B2 = 128282700 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 670000, B2 = 3350000 (P-1 stage 2)
B1 = 670000, B2 = 2010000 (P-1 stage 2)
B1 = 670000, B2 = 1340000 (P-1 stage 2)
B1 = 670000 (P-1 stage 1)
B1 = 195000, B2 = 5460000 (P-1 stage 2)
B1 = 105000, B2 = 2551500 (P-1 stage 2)
B1 = 105000, B2 = 2126250 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
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: 2022-02-20T22:19:12+00:00