is 2 596599 - 1
has 179595 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-LC511456CCCC9BC4Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26749.805570.1493%1500000500000000.09136.2177%49.896872.0053%1.8560%
PrimeNet2400.000050.0000%55002000000.000420.1039%0.000460.0520%10.0520%
GPU722440.000054.5455%100003600000.000615.4177%0.000661.5535%7.0080%
Difference+23+49.8055+15.6038%+1490000+49640000+0.0906-9.2000%+49.8961+10.4518%+10.4518%

Known prime factors (1 factor, 75.7 bits, 0.01268596% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
596599607087205023583972130492375.68450878999547735076
22 × 32 × 5657 × 249833046313
2009-03-18565724983304631322,087299.89560.11

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--2.565%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.202%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.005--1.814%
2002-09-22T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.566%
2003-06-01T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.446%
unknown150000050000000---0.091--6.218%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:28:22LordJuliusManual testing254255--0.004--
2001-04-08T00:00:00ANONYMOUSv4_computers21256--0.016--
2002-01-02T00:00:00ANONYMOUSv4_computers21257--0.032--
2003-11-16T00:00:00ANONYMOUSv4_computers21258--0.064--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.112 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:18.112 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100024.7690.000%
25500003.1314.366%
302500000.30074.067%
3510000000.02397.712%
4030000000.00199.851%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002804.741
25000025000000443.725
250000350000001009.64


Lucas-Lehmer results:
No L-L results for M596599


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T12:06:00Oliver KruseGTX-1
60708720502358397213049
038124DF579C53__no
2017-09-28T09:43:48Oliver KruseManual testing
60708720502358397213049
038124DF579C53__no
2017-11-08T07:03:29kkmrkkblmbrbkc4.xlarge
60708720502358397213049
038124DF579C53__no
2020-04-19T12:50:18Oliver KruseAddPrpType5
60708720502358397213049
429187DDE84E53__no


P-1 factor-bounds graph:
B1 = 1500000, B2 = 50000000 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
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)
102
103
104
105
106
107
102
103
104
105
106
107
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109
1010
1011
1012
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-31T09:31:19+00:00