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
factored, 0 LL tests remaining
ResidueStatus
L-L8987AE1789E273AFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26818.417767.6471 %40000001500000001.47538.7703 %19.893070.4845 %
Target2641.099865.6250 %1600014000000.01131.6535 %1.111166.1934 %
Difference+4+17.3179+2.0221 %+3984000+148600000+1.4640+7.1168%+18.7819+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
2020-12-301392226726055913919,369,6933.37653.4968

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-03Carsten Kossendeymother15000191250--0.0031.452%
2011-09-29markrtiny20000045000006--0.0545.203%
2018-07-24JossManual testing4000001042267---3.896%
2018-07-27JossManual testing40000040000006--0.0745.460%
2020-05-05mikrMSI400000015000000012--1.47511.833%
2021-01-18JossManual testing42000032362876---5.232%
2022-01-06JossManual testing1235442116447100--1.14410.624%
2022-09-03JossManual testing1235442223284600--2.03111.537%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-05-27David Campeauv4_computers212600.024
2009-04-04S485122USB-Z2602610.047
2011-07-25Carsten KossendeyManual testing2612630.398
2015-02-15VictordeHollanderManual testing2632640.607
2015-02-15VictordeHollanderManual testing2642651.155
2015-06-24ThaManual testing2652662.309
2021-02-21JossManual testing265266
2017-03-25Gordon SpenceManual testing2662674.618
2021-02-22JossManual testing266267
2018-11-26TJAOIManual testing2672689.236


ECM factoring results:
Total ECM effort:2.407 GHz-days
Estimated T-Level:4.087
DigitsB1CompleteFacMiss
20110000.81744.162%
25500000.07592.731%
302500000.00599.525%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.655
50000500000030.353
50000645000030.399


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


PRP results:
dateuseridcompidcofactorsres64
2020-12-31Niels_Mache_Nextcloudconf4-a
573938777370225122762158729
65490F8FF839453D


CERT results:
dateuseridcompid
2020-12-31Ben Deloi-0a426258f168a3f4d


P-1 factor-bounds graph:
B1 = 1235442, B2 = 223284600 (P-1 stage 2)
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
104
105
106
107
108
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=4.09 ~= -3-bit
250
260
270
280
290
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Last modified: 2024-02-29T14:28:04+00:00