is 2 113719 - 1
has 34233 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
Actual267261.292574.6269%10000000020000000000.770511.8347%262.063077.6297%3.0028%
PrimeNet2400.000057.5000%1200220000.00008.7223%0.000061.2070%3.7070%
GPU722440.000061.3636%1700280000.00005.3075%0.000063.4142%2.0506%
Difference+23+261.2924+13.2632%+99998300+1999972000+0.7705+6.5272%+262.0630+14.2155%+14.2155%

Known prime factors (2 factors, 143.2 bits, 0.12594558% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11371950368618649494444491962.12722146087570896
24 × 829 × 1669638689
2008-01-1082916696386897.52500.34440.6433
11371925856804317596254424056092581.09711368726561786620716
22 × 2842181640446655179
2016-01-08428421816404466551794,806,153586,278,9131.095e+9

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1137191302371516167607173859904007040635067151444144143.224
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-01-28T00:00:00ANONYMOUSv4_computers100000025000000---0.009--4.351%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.345%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--1.964%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.003--2.710%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.006--3.574%
2006-02-01T00:00:00Jocelyn Larouchev4_computers20000002000000---0.008--2.343%
2017-01-02T01:06:19kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 5036861864949444449
--0.771--11.835%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-14T00:00:00ANONYMOUSv4_computers252253--0.005--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.021--
2000-12-14T00:00:00ANONYMOUSv4_computers21256--0.084--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.084--
2002-05-11T00:00:00ANONYMOUSv4_computers21257--0.169--
2018-10-27T23:13:59J.R. AllenManual testing21257--0.169--
2022-05-09T21:05:55LordJuliusManual testing257258--0.169--
2022-05-09T21:05:55LordJuliusManual testing258259--0.338--
2022-05-09T21:05:55LordJuliusManual testing259260--0.675--
2022-05-09T21:05:55LordJuliusManual testing260261--1.351--
2022-05-09T21:05:55LordJuliusManual testing261262--2.701--
2022-05-09T21:05:55LordJuliusManual testing26226362.127192.1230.0014.388


ECM factoring results:

Old Calculation Method

Total ECM effort:12.831 GHz-days
Estimated T-Level:30.249
DigitsB1CurvesCompleteFacMiss
2011000878 / 1008.7800.015%
2550000847 / 2803.0254.830%
30250000668 / 6401.04435.184%
35100000078 / 15660.05095.140%

New Calculation Method

Total ECM effort:12.831 GHz-days
Estimated T-Level:30.249
DigitsB1CompleteFacMiss
201100073.8000.000%
255000011.5590.001%
302500001.36025.662%
3510000000.13087.838%
4030000000.01098.959%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
110001100000310.019
5000050000001790.489
250000250000005908.061
1000000100000000784.263


Lucas-Lehmer results:
No L-L results for M113719


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T21:14:14Oliver KruseOliver-PC
5036861864949444449
2585680431759625442405609
660D422D90FA5F36no
2017-09-21T21:30:44Oliver KruseManual testing
5036861864949444449
2585680431759625442405609
660D422D90FA5F36no
2017-10-09T02:39:29Chang Chia-Tchehomura660D422D90FA5F__?
2017-10-13T11:39:52kkmrkkblmbrbkManual testing
5036861864949444449
2585680431759625442405609
660D422D90FA5F__no
2020-04-17T15:34:19Oliver KruseAddPrpType5
5036861864949444449
2585680431759625442405609
9EBD589F89CF03__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-05-09T21:05:55+00:00