is 2 26597 - 1
has 8007 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCFCECA9D4062C01Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2671,117.190677.6119%15000000000150330015708873053,781.522833.9019%54,898.713485.2019%
Target2440.000165.9091%500500000.00001.6973%0.000166.4877%
Difference+23+1,117.1905+11.7028%+14999999500+1503300157038730+53,781.5228+32.2046%+54,898.7133+18.7142%

Known prime factors:
No known factors for M26597

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-04-29ANONYMOUSv4_computers10000010000000---0.000--1.913%
2001-08-18Alex Kruppav4_computers1000000100000000---0.004--4.688%
2002-04-28ANONYMOUSv4_computers163841638400---6.87752e-5--0.635%
2002-06-09ANONYMOUSv4_computers327683276800---0.000--1.026%
2002-07-20ANONYMOUSv4_computers655366553600---0.000--1.539%
2003-02-02ANONYMOUSv4_computers13107213107200---0.001--2.177%
2003-03-27ANONYMOUSv4_computers26214426214400---0.001--2.932%
2003-04-03ANONYMOUSv4_computers52428852428800---0.002--3.795%
2003-04-27ANONYMOUSv4_computers1048576104857600---0.004--4.757%
2003-05-19ANONYMOUSv4_computers2097152209715200---0.009--5.810%
2003-07-13ANONYMOUSv4_computers4194304419430400---0.018--6.949%
2003-09-29ANONYMOUSv4_computers8388608838860800---0.035--8.166%
2003-10-08ANONYMOUSv4_computers167772161677721600---0.070--9.447%
2013-10-25David Campeaui5-2500k304635000304635000---0.200--7.844%
2013-11-03David Campeaui5-2500k456950000456950000---0.300--8.470%
2013-11-05David Campeaui5-2500k45695000010256100000---0.651--13.606%
2013-11-15David Campeaui5-2500k609265000609265000---0.400--8.923%
2013-11-18David Campeaui5-2500k761580000761580000---0.500--9.279%
2016-12-19kkmrkkblmbrbkManual testing500000000500000000---0.328--8.611%
2016-12-19kkmrkkblmbrbkManual testing10000000001000000000---0.657--9.718%
2017-04-26mikrS0521200000000096000000000012---41.79--22.145%
2022-07-01ATHManual testing150000000001503300157088730---53,782--33.902%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-07ATH5960X50000000010150000000027--4.039
2023-07-07masserManual testing2700000001080000000014847--0.639
2023-08-20masserManual testing2700000004833000000065--1.954


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21ANONYMOUSv4_computers252253--0.023--
2000-03-08ANONYMOUSv4_computers253254--0.045--
2000-10-07ANONYMOUSv4_computers21256--0.361--
2002-11-24ANONYMOUSv4_computers21257--0.722--
2016-02-23LaurVManual testing257258--0.722--
2009-01-18Sturle Sundegnom.ifi258259--1.444--
2009-01-31Sturle Sundeklughardt.ifi259260--2.887--
2012-04-02bcp19Manual testing260261--5.775--
2012-04-02bcp19Manual testing261262--11.55--
2016-09-11Sid & AndyMrs_Potato_Head262263--36.91--
2018-04-06YxinityYGS2263264--73.82--
2018-04-06YxinityManual testing263264--73.82--
2019-04-05YxinityYGSMainFrame264265--140.5--
2019-04-05YxinityManual testing264265--140.5--
2020-07-05YxinityManual testing265266--281.0--


ECM factoring results:
Total ECM effort:7,911.192 GHz-days
Estimated T-Level:43.590
DigitsB1CompleteFacMiss
20110001,743.9830.000%
2550000514.4290.000%
30250000125.4330.000%
35100000025.4160.000%
4030000004.4881.125%
45110000000.71848.771%
50440000000.10689.939%
551100000000.01598.539%
602600000000.00299.813%


ECM Summary

B1B2factorcurvesGHz-days
10000001000000003473.278
30000003000000004,252120.5
11000000110000000047148.95
11000000140800000050056.69
1100000035133391030752864.6
1100000099324315090130405.9
430000002404906604262241,717
1100000001886721551715804,694


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-01-01George WoltmanCFCECA9D4062C01A1.20425e-5
2015-04-11MadPooManual testingCFCECA9D4062C01A1.20425e-5


PRP results:
No PRP results for M26597


P-1 factor-bounds graph:
B1 = 15000000000, B2 = 1503300157088730 (P-1 stage 2)
B1 = 12000000000, B2 = 960000000000 (P-1 stage 2)
B1 = 15000000000 (P-1 stage 1)
B1 = 12000000000 (P-1 stage 1)
B1 = 1000000000 (P-1 stage 1)
B1 = 456950000, B2 = 10256100000 (P-1 stage 2)
B1 = 761580000 (P-1 stage 1)
B1 = 609265000 (P-1 stage 1)
B1 = 500000000 (P-1 stage 1)
B1 = 456950000 (P-1 stage 1)
B1 = 304635000 (P-1 stage 1)
B1 = 16777216, B2 = 1677721600 (P-1 stage 2)
B1 = 8388608, B2 = 838860800 (P-1 stage 2)
B1 = 4194304, B2 = 419430400 (P-1 stage 2)
B1 = 16777216 (P-1 stage 1)
B1 = 2097152, B2 = 209715200 (P-1 stage 2)
B1 = 8388608 (P-1 stage 1)
B1 = 1048576, B2 = 104857600 (P-1 stage 2)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 4194304 (P-1 stage 1)
B1 = 524288, B2 = 52428800 (P-1 stage 2)
B1 = 2097152 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1048576 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 524288 (P-1 stage 1)
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 = 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)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=43.59 ~= 128-bit
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Last modified: 2023-10-02T12:12:48+00:00