is 2 76541 - 1
has 23042 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
Actualunknown1600000000320685111446703,711.845473.8961%3,711.845473.8961%73.8961%
PrimeNet2400.000057.5000%800110000.00006.1110%0.000060.0972%2.5972%
GPU722440.000061.3636%500100000.00002.3023%0.000062.2532%0.8895%
Difference-440.0000-61.3636%+1599999500+32068511134670+3,711.8454+71.5938%+3,711.8454+11.6430%+73.0066%

Known prime factors (2 factors, 166.2 bits, 0.21711503% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
76541962859756071136.487628983
32 × 17 × 4111
-1741111.368e-75.095e-78.889e-7
76541110206744242022947819282013716060404351340129.6957199196786168390001390236194723116
22 × 601 × 827 × 4817 × 16561 × 2417743 × 18774601773847
2022-03-112417743187746017738471.756e+122,171.24,055.3

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
7654110611363887814309258061621816918431517507828458739
1
51166.182
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-12-12T22:47:41kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 96285975607
--0.432--40.281%
2022-03-11T03:57:03George WoltmanSkylakeX16000000003206851114467040129.6953,7120.0007,42465.585%


Trial Factoring results:
No TF results for M76541


ECM factoring results:
Total ECM effort:11.218 GHz-days
Estimated T-Level:31.064
DigitsB1CompleteFacMiss
201100098.4910.000%
255000016.1260.000%
302500002.03913.021%
3510000000.21380.831%
4030000000.01998.127%
45110000000.00199.855%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.010
5000050000002740.418
250000250000005854.467
10000001000000002076.323


Lucas-Lehmer results:
No L-L results for M76541


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:27:03Oliver KruseDoppelherz
96285975607
8F426E0BAF5C56__no
2017-09-21T21:55:59Oliver KruseManual testing
96285975607
8F426E0BAF5C56__no
2017-09-21T22:13:48Oliver KruseManual testing
96285975607
8F426E0BAF5C56__no
2017-11-06T12:34:20kkmrkkblmbrbkc4.xlarge
96285975607
8F426E0BAF5C56__no
2020-04-17T15:15:32Oliver KruseAddPrpType5
96285975607
58DB1A61C09E8F__no
2022-03-11T05:34:51SRJ2877LTOS
96285975607
1102067442420229478192820137160604043513
58DB1A61C09E8FA0no


P-1 factor-bounds graph:
B1 = 1600000000, B2 = 32068511144670 (P-1 stage 2)
B1 = 1600000000 (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: 2022-03-11T05:34:51+00:00