is 2 103991 - 1
has 31305 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
Actual267285.735574.6269 %10000000020000000000.655811.7572 %286.391377.6100 %
Target2440.000061.3636 %13001000000.00004.4152 %0.000063.0695 %
Difference+23+285.7355+13.2632 %+99998700+1999900000+0.6558+7.3421%+286.3912+14.5405 %

Known prime factors (3 factors, 96.9 bits, 0.09314706% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
103991124789201926.895600
23 × 3 × 52
-25259.714e-118.056e-81.639e-7
10399171880659031032.74334561
17 × 19 × 107
2008-07-26191078.147e-97.667e-81.246e-7
1039911608227054471237.227773253
33 × 13 × 2203
2008-07-262722032.413e-74.690e-77.219e-7

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-11-12kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 124789201
skipped known factor: 7188065903
skipped known factor: 160822705447
---40.851%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-26J FeitsmaManual testing??
37.227
12
2008-07-26J FeitsmaManual testing??
32.743
10
2018-11-05J.R. AllenManual testing252259
2022-04-14LordJuliusManual testing257262


ECM factoring results:
Total ECM effort:12.321 GHz-days
Estimated T-Level:30.737
DigitsB1CompleteFacMiss
201100081.4900.000%
255000012.7390.000%
302500001.51422.000%
3510000000.14786.294%
4030000000.01298.784%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.650
250000250000005856.793
10000001000000001054.877


Lucas-Lehmer results:
No L-L results for M103991


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
124789201
160822705447
7188065903
B34EDDC6C6CF1399
2017-09-21Oliver KruseManual testing
124789201
160822705447
7188065903
B34EDDC6C6CF1399
2017-10-13kkmrkkblmbrbkManual testing
124789201
7188065903
160822705447
B34EDDC6C6CF1399
2020-04-17Oliver KruseAddPrpType5
124789201
7188065903
160822705447
888E740105C68F50
2022-04-15LordJuliusWhitebox
124789201
7188065903
160822705447
888E740105C68F50


CERT results:
No CERT results for M103991


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
262
259
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.74 ~= 85-bit
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260
270
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290
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Last modified: 2024-03-13T02:15:48+00:00