is 2 108131 - 1
has 32551 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
Actual267274.795574.6269 %4000000008040000000015.333318.1796 %290.128979.2396 %
Target2440.000061.3636 %15001100000.00004.7575 %0.000063.2018 %
Difference+23+274.7955+13.2632 %+399998500+80399890000+15.3333+13.4220%+290.1288+16.0378 %

Known prime factors (6 factors, 253.6 bits, 0.23450942% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
108131216263617.7221
1
-111.615e-133.222e-96.558e-9
1081316055337722.53028
22 × 7
2008-07-26475.199e-121.342e-82.623e-8
10813123356297824.477108
22 × 33
2008-07-2627272.115e-118.700e-81.771e-7
1081311996504832571237.539923188
22 × 7 × 32971
2008-07-267329713.089e-75.810e-61.081e-5
10813149058483155776020376072272.05522684744964800113
3 × 13 × 257 × 2263268977831
2010-05-02257226326897783117,179397.33742.10
1081317209240896417018729256792479.2543333568031562187869
3 × 37 × 30032144428488179
2011-01-0537300321444284881791,752,0745,272,3109,847,206

57 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-12-05kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 216263
skipped known factor: 6055337
skipped known factor: 23356297
skipped known factor: 199650483257
---40.923%
2021-04-16Seth_TrManual testing40000000080400000000
skipped known factor: 216263
skipped known factor: 6055337
skipped known factor: 23356297
skipped known factor: 199650483257
---51.469%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-01ATHec2-P_150000000500000000027--1.097


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-26J FeitsmaManual testing??
37.539
12
2008-07-26J FeitsmaManual testing??
24.477
8
2008-07-26J FeitsmaManual testing??
22.530
7
2022-05-06LordJuliusManual testing257263


ECM factoring results:
Total ECM effort:11.847 GHz-days
Estimated T-Level:30.706
DigitsB1CompleteFacMiss
201100080.3740.000%
255000012.4840.000%
302500001.46923.023%
3510000000.14186.838%
4030000000.01298.853%


ECM Summary

B1B2factorcurvesGHz-days
10.004
10.002
5000050000002780.593
250000250000005966.925
1000000100000000934.322


Lucas-Lehmer results:
No L-L results for M108131


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
216263
199650483257
23356297
6055337
4905848315577602037607
720924089641701872925679
0B9A0063FC4F0D08
2017-09-22Oliver KruseManual testing
216263
199650483257
23356297
6055337
4905848315577602037607
720924089641701872925679
0B9A0063FC4F0D08
2017-11-06kkmrkkblmbrbkc4.xlarge
216263
6055337
23356297
199650483257
4905848315577602037607
720924089641701872925679
0B9A0063FC4F0D08
2020-04-17Oliver KruseAddPrpType5
216263
6055337
23356297
199650483257
4905848315577602037607
720924089641701872925679
ED23A08A620C7572
2022-04-15LordJuliusWhitebox
216263
6055337
23356297
199650483257
4905848315577602037607
720924089641701872925679
ED23A08A620C7572
2022-05-12Jorge CoveiroManual testing
216263
ED23A08A620C7572
2022-11-03LordJuliusWhitebox
216263
6055337
23356297
199650483257
4905848315577602037607
720924089641701872925679
ED23A08A620C7572


CERT results:
dateuseridcompid
2022-11-03citizenscience.ruXeonx2-1366


P-1 factor-bounds graph:
B1 = 400000000, B2 = 80400000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
TF factor-bounds graph:
263
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.71 ~= 85-bit
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00