is 2 84131 - 1
has 25326 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown1000000000808033415689509,577.252576.2312%9,577.252576.2312%76.2312%
PrimeNet2400.000057.5000%900140000.00006.8702%0.000060.4198%2.9198%
GPU722440.000061.3636%500100000.00002.3642%0.000062.2771%0.9134%
Difference-440.0000-61.3636%+999999500+80803341558950+9,577.2525+73.8671%+9,577.2524+13.9542%+75.3178%

Known prime factors (2 factors, 144.8 bits, 0.17212574% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
84131168263617.3601
1
-112.076e-132.175e-94.426e-9
8413123253975793235149350337145420885389891939127.4511382009948368327331800236858047889
3 × 11 × 463 × 11087 × 224363 × 37679611 × 965038282601
2022-05-25376796119650382826011.815e+12114.43213.59

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
841313912783728897125935135779099954438359380769744144.811
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-11T22:53:28kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 168263
--0.443--40.457%
2022-05-06T21:51:50George WoltmanSkylakeX10000000001000000000-
skipped known factor: 168263
--2.175--35.689%
2022-05-23T05:30:41George WoltmanSkylakeX10000000008080334156895039127.4519,5770.00019,15567.619%


Trial Factoring results:
No TF results for M84131


ECM factoring results:
Total ECM effort:10.372 GHz-days
Estimated T-Level:30.949
DigitsB1CompleteFacMiss
201100092.4900.000%
255000014.9390.000%
302500001.85415.656%
3510000000.19082.715%
4030000000.01798.358%
45110000000.00199.875%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.440
250000250000005854.578
10000001000000001715.353


Lucas-Lehmer results:
No L-L results for M84131


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:34:51Oliver KruseOllaptop
168263
44C33FD566235E__no
2017-09-21T21:39:51Oliver KruseManual testing
168263
44C33FD566235E__no
2017-10-13T08:19:30kkmrkkblmbrbkManual testing
168263
44C33FD566235E__no
2020-04-17T15:18:10Oliver KruseAddPrpType5
168263
C8B806A90179EB__no
2022-05-12T18:19:38Jorge CoveiroManual testing
168263
C8B806A90179EBE7no
2022-05-26T01:37:24aperson12012_VP113
168263
232539757932351493503371454208853898919
C8B806A90179EBE7no
2022-05-26T01:43:37George WoltmanManual testing
168263
232539757932351493503371454208853898919
C8B806A90179EBE7no
2022-05-26T19:30:44Pham Cong Tai
168263
232539757932351493503371454208853898919
C8B806A90179EBE7no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 80803341568950 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-26T19:30:44+00:00