is 2 3236287 - 1
has 974220 decimal digits
takes 0.275 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8987AE1789E273AFdouble-checked
PRP65490F8FF839453Dverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.417767.6471%40000001500000001.47538.7703%19.893070.4845%2.8374%
PrimeNet2600.047563.3333%140002600000.00342.7688%0.050864.3485%1.0152%
GPU722641.099865.6250%160002800000.00371.6535%1.103666.1934%0.5684%
Difference+4+17.3179+2.0221%+3984000+149720000+1.4716+7.1168%+18.7894+4.2911%+4.2911%

Known prime factors (1 factor, 88.9 bits, 0.00274670% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32362875739387773702251227621587292788.89188672416471441674172
22 × 32 × 7 × 97 × 13922267 × 260559139
2020-12-301392226726055913934,513,2713.37653.4968

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-03T21:38:00Carsten Kossendeydurandal15000191250---0.003--0.784%
2011-09-29T12:52:00markrtiny2000004500000---0.054--3.413%
2018-07-24T12:57:29Jocelyn Larouchelow 4M4000001042267---0.054--2.525%
2018-07-27T18:51:10Jocelyn Larouchelow 4M40000040000006---0.074--3.646%
2020-05-05T00:29:16mikrMSI400000015000000012---1.475--8.770%
2021-01-18T13:43:04Jocelyn LaroucheManual testing42000032362876---0.071--3.484%
2022-01-06T11:35:01Jocelyn LaroucheManual testing1235442116447100---0.927--7.653%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-27T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-04T07:04:00S485122USB-Z260261--0.047--
2011-07-25T20:42:00Carsten KossendeyManual testing261263--0.398--
2015-02-15T12:51:00VictordeHollanderManual testing263264--0.607--
2015-02-15T12:51:00VictordeHollanderManual testing264265--1.155--
2015-06-24T21:57:00ThaManual testing265266--2.309--
2021-02-21T11:36:42Jocelyn LaroucheManual testing265266--2.309--
2021-02-22T09:03:46Jocelyn LaroucheManual testing266267--4.618--
2017-03-26T03:14:46Gordon SpenceManual testing266267--4.618--
2018-11-26T14:19:37TJAOIManual testing267268--9.236--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.518 GHz-days
Estimated T-Level:1.050
DigitsB1CurvesCompleteFacMiss
201100021 / 1000.21080.973%
255000021 / 2800.07592.762%

New Calculation Method

Total ECM effort:2.518 GHz-days
Estimated T-Level:1.050
DigitsB1CompleteFacMiss
20110000.81744.162%
25500000.07592.731%
302500000.00599.525%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.766
50000500000030.353
50000645000030.399


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-17T00:00:00ANONYMOUSv4_computers8987AE1789E273AF0.275
1999-06-26T00:00:00ANONYMOUSv4_computers8987AE1789E273AF0.275


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-31T07:07:51Niels_Mache_Nextcloudconf4-a
573938777370225122762158729
65490F8FF839453Dno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1235442, B2 = 116447100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1235442 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 420000, B2 = 3236287 (P-1 stage 2)
B1 = 400000, B2 = 1042267 (P-1 stage 2)
B1 = 200000, B2 = 4500000 (P-1 stage 2)
B1 = 420000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
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106
107
108
103
104
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109
TF factor-bounds graph:
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266
265
264
263
261
260
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260
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2100
Last modified: 2022-01-06T11:35:01+00:00