is 2 10687 - 1
has 3218 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-daysProbabilityProb over default TF
Actualunknown1000000000001204432115202416101,247,541.995186.8347%1,247,541.995186.8347%86.8347%
Target2440.000268.1818%500100000.00001.2898%0.000268.5922%0.4104%
Difference-44-0.0002-68.1818%+99999999500+120443211520231610+1,247,541.9951+85.5449%+1,247,541.9949+18.2425%+86.4243%

Known prime factors (3 factors, 235.1 bits, 2.19953103% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
106877096169722.759332
22 × 83
-4835.604e-111.579e-91.579e-9
106871500646402184756018092312476.9907020896426428165145
5 × 292 × 1669654322575069
2008-08-2984116696543225750692,177,48417,29432,300
106875419717722309237279651326144037281152286341135.3152535659082206997885118052841787817513
11 × 13 × 731689489 × 2532628537 × 9568778745187087
2022-12-17253262853795687787451870871.434e+1399,112185,112

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-07T22:02:39kkmrkkblmbrbkManual testing1000000001000000000012-
skipped known factor: 7096169
--0.122--41.410%
2022-12-16T02:12:32Anton RepkoManual testing10000000000012044321152024161041135.3151,247,5422.80237e-62,495,08479.001%


Trial Factoring results:
No TF results for M10687


ECM factoring results:
Total ECM effort:38.462 GHz-days
Estimated T-Level:40.561
DigitsB1CompleteFacMiss
20110001,089.7500.000%
2550000269.6750.000%
3025000051.6420.000%
3510000007.9710.035%
4030000001.01636.200%
45110000000.11289.381%
50440000000.01198.930%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000003550.049
2500002500000020.001
3500003500000060.006
4000004000000010.001
9500009500000050.013
10000001000000001,3893.800
30000003000000004,21534.59


Lucas-Lehmer results:
No L-L results for M10687


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:04:53Oliver KrusePRP
7096169
150064640218475601809231
19E0711352E8EB__no
2017-09-21T19:21:53Oliver KruseManual testing
7096169
150064640218475601809231
19E0711352E8EB__no
2017-10-12T15:34:58kkmrkkblmbrbkManual testing
7096169
150064640218475601809231
19E0711352E8EB__no
2020-04-17T13:47:49Oliver KruseManual testing
7096169
150064640218475601809231
0A55E0647DCB35__no
2022-12-17T17:43:12Anton Repkotethys
7096169
150064640218475601809231
54197177223092372796513261440372811522863
0A55E0647DCB350Ano


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 120443211520241610 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-17T17:43:12+00:00