is 2 8139707 - 1
has 2450296 decimal digits
takes 2.125 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LEB81D3392229AA6Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272117.489968.0556 %78000007498993590157.479811.9822 %274.969871.8832 %
Target2673.650565.6716 %5500065000000.15382.6234 %3.804366.5722 %
Difference+5+113.8394+2.3839 %+7745000+7492493590+157.3261+9.3589%+271.1655+5.3110 %

Known prime factors (1 factor, 87.2 bits, 0.00107126% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
81397071774589657273338728036450712787.19810900820246191532005
5 × 17 × 258733 × 367777 × 1347733
2021-12-2836777713477337,222,0020.15950.2834

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-11-16ANONYMOUSv4_computers45000663750--0.0302.124%
2012-10-25NesowaEPC10000019750006--0.0773.236%
2021-12-28FlaukrotistManual testing6000000600000012787.1982.5385.574%
2023-04-17FlaukrotistColab_HLM278000007498993590
skipped known factor: 177458965727333872803645071
--166.716.472%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-24ANONYMOUSv4_computers212610.019
1998-08-30ANONYMOUSv4_computers212620.038
1999-03-26ANONYMOUSv4_computers212630.121
2013-08-23David CampeauManual testing2632640.241
2013-09-01David CampeauManual testing2642650.459
2015-05-26snme2pm1Manual testing2652660.918
2015-12-01snme2pm1Manual testing2662671.836
2018-07-05chuenkitManual testing2672683.672
2019-12-08mnd9Manual testing2682697.344
2021-08-19SRBaseManual testing26927014.69
2021-09-02SRBaseManual testing27027129.38
2021-10-24SRBaseManual testing27127258.76


ECM factoring results:
Total ECM effort:2.382 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000062.382


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-04-19ANONYMOUSv4_computersEB81D3392229AA6C2.125
2002-12-02ANONYMOUSv4_computersEB81D3392229AA6C2.125


PRP results:
dateuseridcompidcofactorsres64
2022-01-04GANLMS-09
177458965727333872803645071
31D374D043F3663F


CERT results:
dateuseridcompid
2022-01-04fackpampenH87M-PRO


P-1 factor-bounds graph:
B1 = 7800000, B2 = 7498993590 (P-1 stage 2)
B1 = 7800000 (P-1 stage 1)
B1 = 6000000 (P-1 stage 1)
B1 = 100000, B2 = 1975000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 663750 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
261
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
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290
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Last modified: 2024-03-13T02:15:48+00:00