is 2 599371 - 1
has 180429 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-
PRPF8522F2B6152CEAEverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26749.575270.1493%59937101798113000.34078.5377%49.915972.6978%2.5486%
PrimeNet2400.000050.0000%60002200000.000420.5147%0.000460.2573%10.2573%
GPU722440.000054.5455%100003600000.000615.4262%0.000661.5574%7.0119%
Difference+23+49.5752+15.6038%+5983710+179451300+0.3401-6.8885%+49.9152+11.1404%+11.1404%

Known prime factors (1 factor, 83.9 bits, 0.01400421% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
599371185187116520280658796378712683.93715448454840180844485
5 × 23 × 191 × 703321413165529
2021-02-151917033214131655295,776,147844,2401,576,805

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--2.568%
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 testing645163645163---0.014--1.883%
2012-03-08T02:12:00Jocelyn LaroucheManual testing806454806454---0.018--2.067%
2012-07-21T19:06:00Jocelyn LaroucheManual testing11987421198742---0.026--2.418%
2013-04-09T07:30:00Le ComteS76120000002000000---0.044--2.916%
2013-10-25T13:26:00David Campeaui5-2500k210000071400000---0.129--6.812%
2015-11-20T16:31:42Sid & AndyBullseye599371017981130012---0.341--8.538%


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--3.276--
2017-10-29T22:58:31BloodERazorManual testing264265--6.234--
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:14.416 GHz-days
Estimated T-Level:25.781
DigitsB1CurvesCompleteFacMiss
2011000451 / 1004.5101.075%
2550000451 / 2801.61119.917%
30250000100 / 6400.15685.524%

New Calculation Method

Total ECM effort:14.416 GHz-days
Estimated T-Level:25.781
DigitsB1CompleteFacMiss
201100019.6560.000%
25500002.22810.773%
302500000.19382.444%
3510000000.01498.639%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003515.946
25000025000000998.385
2500002500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T15:29:00MadPooManual testingD01C9F847FD22B__0.009


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-15T11:28:51riccardo ubertiNomad2C
18518711652028065879637871
F8522F2B6152CEAEno


P-1 factor-bounds graph:
B1 = 5993710, B2 = 179811300 (P-1 stage 2)
B1 = 5993710 (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 = 1198742 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 806454 (P-1 stage 1)
B1 = 645163 (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)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T08:28:26+00:00