is 2 599143 - 1
has 180361 decimal digits
takes 0.009 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP35FF14EECFAE77DEverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26749.594070.1493%59914301797429000.34068.5367%49.934672.6975%2.5483%
PrimeNet2400.000050.0000%60002200000.000420.5138%0.000460.2569%10.2569%
GPU722440.000054.5455%100003600000.000615.4255%0.000661.5571%7.0116%
Difference+23+49.5940+15.6038%+5981430+179382900+0.3399-6.8888%+49.9340+11.1405%+11.1405%

Known prime factors (1 factor, 91.9 bits, 0.01533051% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
59914344679898219123597394546563612891.8523728650607544742857260
22 × 5 × 67 × 233 × 11942382318700733
2021-10-13233119423823187007331.460e+914,335,17126,774,108

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-31T00:00:00Alex Kruppav4_computers200040000---8.96776e-5--0.109%
2001-06-23T00:00:00Alex Kruppav4_computers1000004000000---0.007--2.567%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.203%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.005--1.815%
2002-09-22T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.567%
2003-06-01T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.448%
2011-06-12T13:01:00Jocelyn LaroucheManual testing400000400000---0.009--1.522%
2011-08-28T21:10:00Jocelyn LaroucheManual testing645481645481---0.014--1.883%
2012-03-08T02:12:00Jocelyn LaroucheManual testing806852806852---0.018--2.067%
2012-07-21T19:06:00Jocelyn LaroucheManual testing11982861198286---0.026--2.417%
2013-04-09T08:14:00Le ComteS76120000002000000---0.044--2.916%
2013-10-25T12:47:00David Campeaui5-2500k210000071400000---0.129--6.811%
2015-11-19T23:38:41Sid & AndyBullseye599143017974290012---0.341--8.537%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:28:26LordJuliusManual testing254255--0.004--
2001-04-15T00:00:00ANONYMOUSv4_computers21256--0.016--
2002-01-02T00:00:00ANONYMOUSv4_computers21257--0.032--
2003-11-16T00:00:00ANONYMOUSv4_computers21258--0.064--
2016-02-23T16:28:16Mark RoseManual testing258260--0.192--
2016-02-23T16:28:16Mark RoseManual testing260261--0.256--
2015-07-13T15:32:00NRManual testing261262--0.513--
2015-09-21T22:04:00Gordon SpenceManual testing262263--1.638--
2015-09-21T22:04:00Gordon SpenceManual testing263264--3.277--
2017-10-29T22:58:31BloodERazorManual testing264265--6.236--
2018-06-06T03:11:10chuenkitManual testing265266--12.47--
2020-01-30T16:47:23YxinityManual testing266267--24.94--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.667 GHz-days
Estimated T-Level:26.266
DigitsB1CurvesCompleteFacMiss
2011000513 / 1005.1300.577%
2550000513 / 2801.83215.955%
30250000162 / 6400.25377.622%

New Calculation Method

Total ECM effort:19.667 GHz-days
Estimated T-Level:26.266
DigitsB1CompleteFacMiss
201100024.8230.000%
25500002.9755.104%
302500000.27476.058%
3510000000.02097.979%
4030000000.00199.872%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003515.946
2500002500000015513.13
2500002500000070.593


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T15:29:00MadPooManual testingC481E4FCA5CFED__0.009


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-13T19:31:34SRJ2877LTOS
4467989821912359739454656361
35FF14EECFAE77DEno


P-1 factor-bounds graph:
B1 = 5991430, B2 = 179742900 (P-1 stage 2)
B1 = 5991430 (P-1 stage 1)
B1 = 2100000, B2 = 71400000 (P-1 stage 2)
B1 = 2100000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 1198286 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 806852 (P-1 stage 1)
B1 = 645481 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 40000 (P-1 stage 2)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T08:28:26+00:00