is 2 3211427 - 1
has 966736 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-L01B6FFBBF3D19E72double-checked
PRP3D79A7534AD13B52verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.560267.6471%40000001500000001.47538.7639%20.035670.4824%2.8354%
PrimeNet2600.047863.3333%130002400000.00312.6592%0.051064.3084%0.9750%
GPU722641.108365.6250%160002600000.00361.6168%1.111966.1808%0.5558%
Difference+4+17.4519+2.0221%+3984000+149740000+1.4717+7.1471%+18.9236+4.3017%+4.3017%

Known prime factors (1 factor, 75.6 bits, 0.00235328% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3211427562374283457827883633772375.5748755831651440744
23 × 34 × 13 × 1039391221681
2020-12-248110393912216812,395.16,988.613,053

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:37:00Carsten Kossendeyleela15000191250---0.003--0.783%
2011-09-25T08:46:00harleeP4_260055000852500---0.012--1.786%
2013-09-03T06:58:00Squeeky_SquirrelT7500_22001150002587500---0.031--2.743%
2016-11-19T05:45:53Squeeky_SquirrelP4_2600200000560000012---0.061--3.571%
2018-07-24T12:57:27Jocelyn Larouchelow 4M4000001044095---0.054--2.524%
2018-07-25T17:21:12Jocelyn Larouchelow 4M4000002165034---0.061--3.125%
2018-07-27T18:51:12Jocelyn Larouchelow 4M40000040000006---0.074--3.642%
2020-01-26T11:37:17mikrMSI400000015000000012---1.475--8.764%
2021-01-17T23:14:13Jocelyn LaroucheManual testing42000032114276---0.071--3.474%
2022-01-24T00:02:04Jocelyn LaroucheManual testing1071142119912100---0.931--7.566%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.048--
2009-04-05T22:53:00S485122USB-A260261--0.048--
2011-08-26T04:12:00markrManual 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--2.327--
2021-02-21T11:36:42Jocelyn LaroucheManual testing265266--2.327--
2021-02-22T09:03:45Jocelyn LaroucheManual testing266267--4.654--
2017-03-17T19:55:19Gordon SpenceManual testing266267--4.654--
2019-01-14T11:03:49TJAOIManual testing267268--9.308--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.881 GHz-days
Estimated T-Level:0.800
DigitsB1CurvesCompleteFacMiss
201100016 / 1000.16085.146%
255000016 / 2800.05794.436%

New Calculation Method

Total ECM effort:1.881 GHz-days
Estimated T-Level:0.800
DigitsB1CompleteFacMiss
20110000.51659.683%
25500000.04795.442%
302500000.00399.713%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.763
50000500000010.118


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers01B6FFBBF3D19E720.273
1999-10-15T00:00:00ANONYMOUSv4_computers01B6FFBBF3D19E720.273


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-26T16:36:08mrhlanai
56237428345782788363377
3D79A7534AD13B52no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1071142, B2 = 119912100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1071142 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 420000, B2 = 3211427 (P-1 stage 2)
B1 = 400000, B2 = 2165034 (P-1 stage 2)
B1 = 200000, B2 = 5600000 (P-1 stage 2)
B1 = 400000, B2 = 1044095 (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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Last modified: 2022-01-24T00:02:04+00:00