is 2 3008437 - 1
has 905630 decimal digits
takes 0.256 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD6FEA2BEC1CFEE78double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.812667.6471 %30084373547635002.73649.6080 %22.549070.7555 %
Target2641.183165.6250 %1300010000000.00821.3877 %1.191466.1020 %
Difference+4+18.6295+2.0221 %+2995437+353763500+2.7282+8.2203%+21.3576+4.6535 %

Known prime factors (1 factor, 82.5 bits, 0.00274163% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
300843767462234344170401136241592582.4801121217335516256467
23 × 397 × 3413 × 78787 × 456647
2010-10-1478787456647325,5730.01230.0198

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-23Team Prime Ribv4_computers1000010000--0.0010.313%
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.569%
2009-08-03USAFSSP4_260035000516250--0.0082.352%
2010-10-06Rob_Deetwopc50000100000--0.0071.440%
2010-10-07Rob_Deetwopc100000150000--0.0131.803%
2010-10-08Rob_Deetwopc150000200000--0.0192.069%
2010-10-09Rob_Deetwopc200000250000--0.0252.286%
2010-10-10Rob_Deetwopc250000300000--0.0312.470%
2010-10-11Rob_Deetwopc300000350000--0.0372.632%
2010-10-12Rob_Deetwopc350000400000--0.0442.776%
2010-10-13Rob_Deetwopc400000450000--0.0502.907%
2010-10-14Rob_Deetwopc2582.4800.0560.000%
2020-05-29JossManual testing30084330084376
skipped known factor: 6746223434417040113624159
---4.952%
2022-01-23JossManual testing1101685119912100
skipped known factor: 6746223434417040113624159
--1.15410.495%
2022-08-24JossManual testing3008437354763500
skipped known factor: 6746223434417040113624159
--3.37712.895%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-02ANONYMOUSv4_computers212600.026
2009-01-25Jayson Kingatlas2602610.051
2010-09-02Sid & AndyBuzz2612620.102
2022-03-10LordJuliusManual testing262263
2022-03-10LordJuliusManual testing263264
2022-03-10LordJuliusManual testing264265
2021-01-19JossManual testing265266
2021-03-06JossManual testing266267
2021-03-06JossManual testing267268


ECM factoring results:
Total ECM effort:0.243 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.243


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23ANONYMOUSv4_computersD6FEA2BEC1CFEE780.256


PRP results:
dateuseridcompidcofactorsres64
2017-10-27Oliver KruseGTX-3
6746223434417040113624159
A08A272EB129DB0F
2017-12-10kkmrkkblmbrbkc4.xlarge
6746223434417040113624159
A08A272EB129DB0F


CERT results:
No CERT results for M3008437


P-1 factor-bounds graph:
B1 = 3008437, B2 = 354763500 (P-1 stage 2)
B1 = 1101685, B2 = 119912100 (P-1 stage 2)
B1 = 3008437 (P-1 stage 1)
B1 = 1101685 (P-1 stage 1)
B1 = 300843, B2 = 3008437 (P-1 stage 2)
B1 = 400000, B2 = 450000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 350000, B2 = 400000 (P-1 stage 2)
B1 = 350000 (P-1 stage 1)
B1 = 300000, B2 = 350000 (P-1 stage 2)
B1 = 300843 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 250000, B2 = 300000 (P-1 stage 2)
B1 = 250000 (P-1 stage 1)
B1 = 200000, B2 = 250000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 150000, B2 = 200000 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
B1 = 100000, B2 = 150000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 35000, B2 = 516250 (P-1 stage 2)
B1 = 50000, B2 = 100000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 35000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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Last modified: 2024-02-09T03:30:02+00:00