is 2 3111137 - 1
has 936546 decimal digits
takes 0.265 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC8FD56DC15781CC5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.158667.6471 %10000001199121000.92297.4843 %20.081570.0685 %
Target2641.144165.6250 %1400012000000.00971.5082 %1.153866.1434 %
Difference+4+18.0145+2.0221 %+986000+118712100+0.9132+5.9762%+18.9277+3.9250 %

Known prime factors (1 factor, 67.3 bits, 0.00216244% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31111371787590267008681360232167.27728728890225803
163 × 176250860281
2009-04-2416317625086028116.7521,185.12,213.4

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.574%
2020-12-27JossManual testing31111331111376---5.027%
2022-02-09JossManual testing1000000119912100--1.13910.444%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-09ANONYMOUSv4_computers212600.025
2009-04-14S485122USB-A2602610.049
2021-01-04JossManual testing261262
2021-01-05JossManual testing262263
2021-01-07JossManual testing263264
2021-01-12JossManual testing264265
2022-03-17LordJuliusManual testing265267
2022-01-19JossManual testing267268
67.277
21


ECM factoring results:
Total ECM effort:0.162 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.162


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30ANONYMOUSv4_computersC8FD56DC15781CC50.265


PRP results:
dateuseridcompidcofactorsres64
2017-10-29Oliver KruseGTX-2
178759026700868136023
E4EF28FE909D7F9A
2017-12-15alan145Bear1
178759026700868136023
E4EF28FE909D7F9A


CERT results:
No CERT results for M3111137


P-1 factor-bounds graph:
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 311113, B2 = 3111137 (P-1 stage 2)
B1 = 311113 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00