is 2 3122957 - 1
has 940104 decimal digits
takes 0.266 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD0CCA5A2672C6C14double-checked
PRPDC819CC25E72BC27verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26938.228868.1159%30000001000000001.02247.4236%39.251270.4829%2.3670%
PrimeNet2600.049263.3333%130002400000.00312.6457%0.052364.3034%0.9701%
GPU722641.139765.6250%150002400000.00341.5416%1.143166.1549%0.5299%
Difference+5+37.0890+2.4909%+2985000+99760000+1.0191+5.8820%+38.1081+4.3280%+4.3280%

Known prime factors (1 factor, 71.1 bits, 0.00227534% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
312295724576671824422263081992271.058393483993286207
53 × 61 × 121708627679
2021-07-3161121708627679228.89818.341,528.4

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.202%
2009-07-03T00:45:00Carsten Kossendeyleela15000180000---0.003--0.651%
2011-12-04T03:31:00markrtiny2100005407500---0.061--3.195%
2018-08-06T19:37:33Jocelyn Larouchelow 4M420000840000---0.055--2.093%
2018-08-07T17:09:33Jocelyn Larouchelow 4M4200001260000---0.057--2.398%
2018-08-13T19:32:42Jocelyn Larouchelow 4M4200003360000---0.072--3.153%
2018-08-14T23:01:49Jocelyn Larouchelow 4M4200003780000---0.074--3.245%
2018-11-26T12:44:18mikrMSI300000010000000012---1.022--7.424%
2022-02-20T22:19:23Jocelyn LaroucheManual testing1000000128282700---0.979--6.933%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-29T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-13T16:56:00S485122USB-Z260261--0.049--
2011-12-04T06:26:00markroldgamer261262--0.098--
2013-01-03T08:41:00dbaughManual testing262263--0.314--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.629--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.196--
2015-06-14T13:51:00ThaManual testing265266--2.393--
2017-04-14T16:24:31Gordon SpenceManual testing266267--4.786--
2019-01-14T11:03:54TJAOIManual testing267268--9.57--
2021-06-28T11:11:05TJAOIManual testing268269--19.14--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.187 GHz-days
Estimated T-Level:3.500
DigitsB1CurvesCompleteFacMiss
201100070 / 1000.70049.484%
255000070 / 2800.25077.845%

New Calculation Method

Total ECM effort:8.187 GHz-days
Estimated T-Level:3.500
DigitsB1CompleteFacMiss
20110002.25810.455%
25500000.20481.540%
302500000.01398.751%


ECM Summary

B1B2factorcurvesGHz-days
500005000000647.485
50000500000060.702


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-01T00:00:00ANONYMOUSv4_computersD0CCA5A2672C6C140.266
1999-09-07T00:00:00ANONYMOUSv4_computersD0CCA5A2672C6C140.266


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-01T08:15:13GURA LOVE
2457667182442226308199
DC819CC25E72BC27no


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 = 420000, B2 = 3780000 (P-1 stage 2)
B1 = 420000, B2 = 3360000 (P-1 stage 2)
B1 = 210000, B2 = 5407500 (P-1 stage 2)
B1 = 420000, B2 = 1260000 (P-1 stage 2)
B1 = 420000, B2 = 840000 (P-1 stage 2)
B1 = 420000 (P-1 stage 1)
B1 = 210000 (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: 2022-02-20T22:19:23+00:00