is 2 215503 - 1
has 64873 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFA8AB5242F1E4E20double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267137.881773.1343%30000000100708329922204,464.407323.2207%4,602.288979.3727%6.2384%
PrimeNet2400.000055.0000%2200550000.000013.0267%0.000060.8620%5.8620%
GPU722440.000059.0909%4000900000.00019.3580%0.000162.9192%3.8283%
Difference+23+137.8817+14.0434%+29996000+10070832902220+4,464.4072+13.8628%+4,602.2889+16.4536%+16.4536%

Known prime factors (2 factors, 187.7 bits, 0.08709934% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
215503104925243293028295498467433272993.08324344265113021232998721
32 × 761 × 3554426210106764929
2020-11-0676135544262101067649291.370e+101.576e+92.943e+9
215503304059034660822471128454105692994.61870546357744630578490428
22 × 32 × 7 × 34159 × 8195376447378271
2015-11-283415981953764473782713.622e+103,632,8286,785,112

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
21550331903468187230121020583769836262707456629697076287
6023063
57187.702
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-05-06T00:00:00ANONYMOUSv4_computers10000010000000---0.005--2.652%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.002--1.512%
2002-08-03T00:00:00ANONYMOUSv4_computers655366553600---0.003--2.180%
2003-02-24T00:00:00ANONYMOUSv4_computers13107213107200---0.007--2.977%
2003-10-23T00:00:00ANONYMOUSv4_computers26214426214400---0.014--3.890%
2009-03-23T03:37:00axnManual testing5000000200000000---0.127--7.770%
2021-05-30T08:20:15Oliver KruseOllaptop300000003000000000---1.561--12.428%
2022-02-26T16:19:33Oliver KruseThreadripper-PC3000000010070832992220---4,464--23.221%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-12-04T12:49:46fbaurubuntu1500000001260000000027--7.264


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-11-17T00:00:00ANONYMOUSv4_computers252253--0.003--
2000-04-12T00:00:00ANONYMOUSv4_computers21254--0.011--
2022-03-07T05:09:19LordJuliusManual testing254255--0.011--
2001-02-04T00:00:00ANONYMOUSv4_computers21256--0.045--
2001-02-11T00:00:00ANONYMOUSv4_computers21256--0.045--
2002-03-24T00:00:00ANONYMOUSv4_computers21257--0.089--
2022-03-07T05:09:19LordJuliusManual testing257258--0.089--
2008-12-31T20:05:00Sturle Sundebruch.ifi258259--0.178--
2009-01-24T22:45:00Sturle Sundefizir.ifi259260--0.356--
2010-06-08T07:40:00Architects Cubedm1_tt260261--0.713--
2015-06-19T22:31:00snme2pm1Manual testing261262--1.425--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.365 GHz-days
Estimated T-Level:27.758
DigitsB1CurvesCompleteFacMiss
2011000630 / 1006.3000.178%
2550000630 / 2802.25010.498%
30250000353 / 6400.55257.580%

New Calculation Method

Total ECM effort:12.365 GHz-days
Estimated T-Level:27.758
DigitsB1CompleteFacMiss
201100038.3520.000%
25500005.0980.611%
302500000.51359.859%
3510000000.04195.998%
4030000000.00399.733%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002771.649
250000250000003069.106
2500002500000030.089
2500002500000020.060
25000036603722140.481
25000038500000280.982


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-25T00:00:00ANONYMOUSv4_computersFA8AB5242F1E4E200.001


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T03:26:47Oliver KruseOllaptop
30405903466082247112845410569
34E998C3348A89__no
2017-09-22T10:03:47Oliver KruseManual testing
30405903466082247112845410569
34E998C3348A89__no
2017-10-12T10:06:27kkmrkkblmbrbkc4.xlarge34E998C3348A89__no
2020-04-17T19:12:17Oliver KruseAddPrpType5
30405903466082247112845410569
4280AD8969CABA__no
2020-11-06T14:21:15mnd9vv
10492524329302829549846743327
30405903466082247112845410569
4280AD8969CABA44no
2020-11-06T14:42:56mrhp
10492524329302829549846743327
30405903466082247112845410569
4280AD8969CABA44no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
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 = 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: 2022-03-07T05:09:19+00:00