is 2 10957 - 1
has 3299 decimal digits
takes 0.000 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
Actual2672,711.866279.1045 %1000000000001221925735127097001,265,661.497940.4340 %1,268,373.364087.5534 %
Target2440.000268.1818 %500500000.00001.2997 %0.000268.5954 %
Difference+23+2,711.8659+10.9227 %+99999999500+122192573512659700+1,265,661.4979+39.1342%+1,268,373.3638+18.9580 %

Known prime factors (1 factor, 65.1 bits, 0.59421805% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10957397743456540819106392065.1081815019880171667
3 × 13 × 37 × 27043 × 46511483
2014-04-2327043465114831,077.30.00050.0009

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-07kkmrkkblmbrbkManual testing1000000001000000000012
skipped known factor: 39774345654081910639
---41.456%
2022-12-29ANONYMOUST5810100000000000122192573512709700
skipped known factor: 39774345654081910639
--500,00079.063%


Trial Factoring results:
5758596061626364656667
No TF results for M10957


ECM factoring results:
Total ECM effort:1,925.768 GHz-days
Estimated T-Level:41.378
DigitsB1CompleteFacMiss
20110001,377.8100.000%
2550000366.8410.000%
3025000078.3840.000%
35100000013.8300.000%
4030000002.07312.575%
45110000000.27675.907%
50440000000.03396.772%
551100000000.00499.648%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003370.042
2500002500000020.001
3500003500000060.005
4000004000000010.001
9500009500000070.017
10000001000000001,3693.410
30000003000000004,17436.81
110000002324855633106001,885


Lucas-Lehmer results:
No L-L results for M10957


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
39774345654081910639
D6C18B3CDC6103D0
2017-09-21Oliver KruseManual testing
39774345654081910639
D6C18B3CDC6103D0
2017-10-12kkmrkkblmbrbkManual testing
39774345654081910639
D6C18B3CDC6103D0
2020-04-17Oliver KruseManual testing
39774345654081910639
EB7B0244B87B4C6E


CERT results:
No CERT results for M10957


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 122192573512709700 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
103
104
105
106
107
108
109
1010
1011
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=41.38 ~= 121-bit
250
260
270
280
290
2100
2110
2120
2130
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00