is 2 81077 - 1
has 24407 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
Actual267366.490174.6269%1000000000205052040293102,431.923226.8566%2,798.413381.4412%6.8144%
PrimeNet2400.000057.5000%800120000.00006.3446%0.000060.1964%2.6964%
GPU722440.000061.3636%500100000.00002.3398%0.000062.2677%0.9040%
Difference+23+366.4901+13.2632%+999999500+20505204019310+2,431.9232+24.5168%+2,798.4132+19.1736%+5.9103%

Known prime factors (3 factors, 190.3 bits, 0.23477352% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
81077648617619.3074
22
-448.622e-138.700e-91.771e-8
81077961762938558471446.451593116999
113 × 149 × 35227
2008-08-26149352270.00024.481e-67.796e-6
810773200360544963072915824379964712008863138124.590197365501002939977788052096446095
3 × 5 × 541 × 7687 × 7559789 × 170339179 × 2456979949
2022-01-2217033917924569799492.152e+120.64150.7540

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
81077623815791918979135992065.758
810772075808255592313465443261859571609052757332744143.897
8107730779881621702714625770096981901994469498113775754
57
52171.040
8107719964354477823949652423122994110325946822458062888
60192969
58190.347
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-31T18:19:06kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 648617
skipped known factor: 96176293855847
--0.443--11.543%
2022-01-22T06:42:52George WoltmanManual testing10000000002050520402931038124.5902,4320.0004,86426.857%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:11:00ANONYMOUSManual testing??46.451143.50124e-50.0007.21912e-5


ECM factoring results:
Total ECM effort:10.839 GHz-days
Estimated T-Level:30.998
DigitsB1CompleteFacMiss
201100094.6850.000%
255000015.4280.000%
302500001.93314.472%
3510000000.20081.903%
4030000000.01898.260%
45110000000.00199.867%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002660.416
250000250000005884.601
10000001000000001865.822


Lucas-Lehmer results:
No L-L results for M81077


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:31:35Oliver KruseOllaptop
648617
96176293855847
D1954B8D9D36C7__no
2017-09-21T21:39:47Oliver KruseManual testing
648617
96176293855847
D1954B8D9D36C7__no
2017-10-13T08:19:24kkmrkkblmbrbkManual testing
648617
96176293855847
D1954B8D9D36C7__no
2020-04-17T15:17:33Oliver KruseAddPrpType5
648617
96176293855847
35D93FE53E9EB2__no
2022-01-22T22:47:48SRJ2877LTOS
648617
96176293855847
32003605449630729158243799647120088631
35D93FE53E9EB2EAno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 20505204029310 (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: 2022-01-22T22:47:48+00:00