is 2 3248041 - 1
has 977758 decimal digits
takes 0.276 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L08029A5E24C6F130double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26818.351067.6471 %10826802267496001.65098.2868 %20.002070.3281 %
Target2641.095865.6250 %1600014000000.01131.6546 %1.107166.1938 %
Difference+4+17.2552+2.0221 %+1066680+225349600+1.6397+6.6322%+18.8949+4.1343 %

Known prime factors (1 factor, 68.6 bits, 0.00211162% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
32480414431387149366679258172168.58668216305603388
22 × 479 × 109847 × 324119
2015-10-0610984732411923.6420.01500.0276

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-04Carsten Kossendeymother15000191250--0.0031.453%
2011-09-10USAFSSP4_26006000010500006--0.0143.166%
2014-06-11JossManual testing7976179761--0.0101.336%
2014-09-29JossManual testing9952299522--0.0121.501%
2015-10-06Squeeky_SquirrelP4_26001550004146250622168.5860.0464.955%
2020-12-25JossManual testing108268108268---1.567%
2021-01-18JossManual testing32480432480416
skipped known factor: 443138714936667925817
---5.123%
2022-01-24JossManual testing1082680119912100
skipped known factor: 443138714936667925817
--1.15110.557%
2022-09-07JossManual testing1082680226749600
skipped known factor: 443138714936667925817
--2.03711.438%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-02ANONYMOUSv4_computers212600.024
2009-04-05S485122USB-Z2602610.047
2011-09-26markrManual testing212620.095
2012-12-30dbaughManual testing2622630.302
2015-02-18VictordeHollanderManual testing2632651.755
2015-06-28ThaManual testing2652662.301
2022-04-18LordJuliusManual testing21267
2021-07-10JossManual testing267268


ECM factoring results:
Total ECM effort:0.949 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000090.949


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-09-27ANONYMOUSv4_computers08029A5E24C6F1300.276
1999-06-26ANONYMOUSv4_computers08029A5E24C6F1300.276


PRP results:
dateuseridcompidcofactorsres64
2017-11-02kkmrkkblmbrbkc4.xlarge
443138714936667925817
F73C07D57AD2FBFF
2017-11-19Oliver KruseThreadripper-PC
443138714936667925817
F73C07D57AD2FBFF


CERT results:
No CERT results for M3248041


P-1 factor-bounds graph:
B1 = 1082680, B2 = 226749600 (P-1 stage 2)
B1 = 1082680, B2 = 119912100 (P-1 stage 2)
B1 = 1082680 (P-1 stage 1)
B1 = 324804, B2 = 3248041 (P-1 stage 2)
B1 = 155000, B2 = 4146250 (P-1 stage 2)
B1 = 324804 (P-1 stage 1)
B1 = 155000 (P-1 stage 1)
B1 = 60000, B2 = 1050000 (P-1 stage 2)
B1 = 108268 (P-1 stage 1)
B1 = 99522 (P-1 stage 1)
B1 = 79761 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00