is 2 283139 - 1
has 85234 decimal digits
takes 0.002 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
Actual267104.944671.6418%262144262144000.01664.0323%104.961272.7853%1.1435%
PrimeNet2400.000052.5000%3000800000.000115.0349%0.000159.6416%7.1416%
GPU722440.000056.8182%50001300000.000110.8571%0.000161.5065%4.6883%
Difference+23+104.9446+14.8236%+257144+26084400+0.0165-6.8248%+104.9611+11.2788%+11.2788%

Known prime factors (2 factors, 144.3 bits, 0.05097009% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2831393103013890920267131858.106547966527204
22 × 3 × 45663877267
2008-01-104456638772670.192724.65146.041
283139894786663935698466849520472686.210158011906508057608957
4653724963 × 33953855839
2021-01-15465372496333953855839101,796,70361.92893.843

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2831392776535447602677164668146290882336644803151144144.316
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-07-03T00:00:00ANONYMOUSv4_computers10000010000000---0.006--2.763%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.588%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.004--2.278%
2003-03-16T00:00:00ANONYMOUSv4_computers13107213107200---0.008--3.097%
2003-11-28T00:00:00ANONYMOUSv4_computers26214426214400---0.017--4.032%
2006-01-15T00:00:00Jocelyn Larouchev4_computers283139283139---0.003--1.139%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-24T00:00:00ANONYMOUSv4_computers252253--0.002--
2000-05-05T00:00:00ANONYMOUSv4_computers21254--0.008--
2022-03-07T06:11:36LordJuliusManual testing254255--0.008--
2001-02-25T00:00:00ANONYMOUSv4_computers21256--0.034--
2002-03-10T00:00:00ANONYMOUSv4_computers21257--0.068--
2004-02-07T00:00:00ANONYMOUSv4_computers21258--0.136--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.283 GHz-days
Estimated T-Level:26.508
DigitsB1CurvesCompleteFacMiss
2011000473 / 1004.7300.862%
2550000473 / 2801.68918.409%
30250000193 / 6400.30273.949%

New Calculation Method

Total ECM effort:9.283 GHz-days
Estimated T-Level:26.508
DigitsB1CompleteFacMiss
201100028.6330.000%
25500003.7522.347%
302500000.36869.231%
3510000000.02997.162%
4030000000.00299.813%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002802.047
250000250000001465.338
25000025000000120.439
2500003425000070.288
2500003523251470.291
2500003525000070.291
2500003583147770.293
2500003675000070.296


Lucas-Lehmer results:
No L-L results for M283139


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T11:56:02Oliver KruseOllaptop
310301389092026713
21439A308DA8C0__no
2017-09-22T20:36:14Oliver KruseManual testing
310301389092026713
21439A308DA8C0__no
2017-10-13T05:46:45kkmrkkblmbrbkc4.xlarge21439A308DA8C0__no
2020-04-17T21:21:00Oliver KruseAddPrpType5
310301389092026713
0EC89CAA236564__no
2021-01-15T20:25:09mnd9vv
310301389092026713
89478666393569846684952047
0EC89CAA236564F0no
2021-01-16T12:13:49seatseadt
310301389092026713
89478666393569846684952047
0EC89CAA236564F0no


P-1 factor-bounds graph:
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 283139 (P-1 stage 1)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (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: 2022-07-15T20:47:36+00:00