is 2 597409 - 1
has 179839 decimal digits
takes 0.009 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
Actual26749.738070.1493%1500000500000000.09136.2186%49.829272.0055%1.8563%
PrimeNet2400.000050.0000%55002000000.000420.1070%0.000460.0535%10.0535%
GPU722440.000054.5455%100003600000.000615.4202%0.000661.5546%7.0092%
Difference+23+49.7380+15.6038%+1490000+49640000+0.0906-9.2016%+49.8286+10.4509%+10.4509%

Known prime factors (1 factor, 61.3 bits, 0.01025274% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
59740927435914776425985511961.2512296242170475
3 × 52 × 11 × 2783323843
2008-01-172527833238430.93663.34106.2400

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--2.566%
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--6.219%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.004--
2022-03-07T08:28:23LordJuliusManual 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--


ECM factoring results:

Old Calculation Method

Total ECM effort:18.080 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000422 / 1004.2201.439%
2550000422 / 2801.50722.095%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:18.080 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100024.6920.000%
25500003.1244.397%
302500000.30074.100%
3510000000.02397.714%
4030000000.00199.851%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002784.708
25000025000000443.726
250000350000001009.65


Lucas-Lehmer results:
No L-L results for M597409


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T12:07:52Oliver KruseGTX-2
2743591477642598551
FFA132D4C80315__no
2017-09-28T09:43:44Oliver KruseManual testing
2743591477642598551
FFA132D4C80315__no
2017-11-08T07:51:52kkmrkkblmbrbkc4.xlarge
2743591477642598551
FFA132D4C80315__no
2020-04-19T12:28:40Oliver KruseAddPrpType5
2743591477642598551
59E2DE86B8948E__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)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-17T11:19:01+00:00