is 2 3481157 - 1
has 1047933 decimal digits
takes 0.366 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26817.122167.6471 %10000001146568501.09537.5252 %18.217570.0817 %
Target2641.022565.6250 %1900018000000.01771.8869 %1.040166.2736 %
Difference+4+16.0997+2.0221 %+981000+112856850+1.0777+5.6383%+17.1773+3.8081 %

Known prime factors (1 factor, 40.9 bits, 0.00117549% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
348115720811400893111340.921298915
5 × 191 × 313
-1913137.154e-83.010e-55.920e-5

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-02-18JossManual testing34811538292726
skipped known factor: 2081140089311
---5.390%
2022-01-25JossManual testing1000000114656850
skipped known factor: 2081140089311
--1.14710.495%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2021-02-24JossManual testing265266
2022-06-02LordJuliusManual testing266267
2021-04-30JossManual testing267268


ECM factoring results:
Total ECM effort:0.442 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.442


Lucas-Lehmer results:
No L-L results for M3481157


PRP results:
dateuseridcompidcofactorsres64
2017-11-08kkmrkkblmbrbkc4.large
2081140089311
411F1330549B4A63
2017-11-23Oliver KruseGTX-3
2081140089311
411F1330549B4A63


CERT results:
No CERT results for M3481157


P-1 factor-bounds graph:
B1 = 1000000, B2 = 114656850 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 348115, B2 = 3829272 (P-1 stage 2)
B1 = 348115 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00