is 2 3212101 - 1
has 966939 decimal digits
takes 0.273 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LBDFE13E5C22EEB1Bdouble-checked
PRPE4E0C6630E304073verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.556467.6471%40000001500000001.47538.7641%20.031770.4825%2.8354%
PrimeNet2600.047863.3333%130002400000.00312.6593%0.050964.3084%0.9751%
GPU722641.108165.6250%160002600000.00361.6169%1.111766.1808%0.5558%
Difference+4+17.4483+2.0221%+3984000+149740000+1.4717+7.1472%+18.9200+4.3017%+4.3017%

Known prime factors (1 factor, 83.5 bits, 0.00259812% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3212101132491733512610018771296092683.4542062384301001276404
22 × 19 × 135971089 × 199576511
2020-12-23135971089199576511995,84217.20834.151

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:38:00Carsten Kossendeyleela15000191250---0.003--0.783%
2011-09-25T13:11:00harleeP4_260055000852500---0.012--1.786%
2013-09-03T16:48:00Squeeky_SquirrelT7500_22001150002587500---0.031--2.743%
2016-11-19T23:34:00Squeeky_SquirrelP4_2600200000560000012---0.061--3.571%
2018-07-23T17:58:37Jocelyn Larouchelow 4M400000400000---0.049--1.751%
2018-08-05T20:06:25Jocelyn Larouchelow 4M4000002576000---0.064--3.271%
2018-08-06T19:37:25Jocelyn Larouchelow 4M4000003376000---0.069--3.498%
2018-08-07T17:09:26Jocelyn Larouchelow 4M4000003776000---0.072--3.593%
2020-01-31T08:03:27mikrMSI400000015000000012---1.475--8.764%
2021-01-17T23:14:13Jocelyn LaroucheManual testing42000032121016---0.071--3.474%
2021-01-17T23:14:14Jocelyn LaroucheManual testing42000064242026---0.092--4.071%
2022-01-06T11:35:03Jocelyn LaroucheManual testing1231815116447100---0.927--7.644%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-07T22:18:00S485122USB-A260261--0.048--
2011-09-02T01:47:00markrManual testing261262--0.096--
2013-01-03T08:47:00dbaughManual testing262263--0.306--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.611--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.163--
2015-06-21T21:40:00ThaManual testing265266--2.326--
2021-01-17T23:14:14Jocelyn LaroucheManual testing265266--2.326--
2021-02-21T11:36:42Jocelyn LaroucheManual testing266267--4.653--
2017-03-17T19:55:19Gordon SpenceManual testing266267--4.653--
2019-01-07T14:44:18TJAOIManual testing267268--9.306--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.468 GHz-days
Estimated T-Level:1.050
DigitsB1CurvesCompleteFacMiss
201100021 / 1000.21080.973%
255000021 / 2800.07592.762%

New Calculation Method

Total ECM effort:2.468 GHz-days
Estimated T-Level:1.050
DigitsB1CompleteFacMiss
20110000.80844.589%
25500000.07592.799%
302500000.00599.530%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.763
50000500000060.705


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-01T00:00:00schazv4_computersBDFE13E5C22EEB1B0.273
1999-06-06T00:00:00ANONYMOUSv4_computersBDFE13E5C22EEB1B0.273


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-25T02:23:04Niels_Mache_Nextcloudconf4-a
13249173351261001877129609
E4E0C6630E304073no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1231815, B2 = 116447100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1231815 (P-1 stage 1)
B1 = 420000, B2 = 6424202 (P-1 stage 2)
B1 = 400000, B2 = 3776000 (P-1 stage 2)
B1 = 420000, B2 = 3212101 (P-1 stage 2)
B1 = 400000, B2 = 3376000 (P-1 stage 2)
B1 = 400000, B2 = 2576000 (P-1 stage 2)
B1 = 200000, B2 = 5600000 (P-1 stage 2)
B1 = 420000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 115000, B2 = 2587500 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 55000, B2 = 852500 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-01-06T11:35:03+00:00