is 2 1040959 - 1
has 313360 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7DFC1CE0C921E0B6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual270229.548671.4286%1000000010100000002.77129.4365%232.319874.1247%2.6961%
PrimeNet2560.009264.2857%4500600000.00031.9554%0.009564.9841%0.6984%
GPU722600.147566.6667%4500180000.00020.6164%0.147866.8721%0.2055%
Difference+10+229.4010+4.7619%+9995500+1009982000+2.7710+8.8202%+232.1720+7.2526%+7.2526%

Known prime factors (1 factor, 76.3 bits, 0.00732601% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1040959905269991860550632059292376.26143482499880425196
22 × 140983 × 77105927453
2014-03-271409837710592745322,708180.55337.20

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-22T00:00:00Jocelyn Larouchev4_computers10000122500---0.001--0.315%
2012-01-01T09:20:00bcp19Toshiba-740Q20000010000000---0.032--2.765%
2016-03-17T18:59:30alpertronManual testing3000001000000012---0.036--2.983%
2021-01-31T15:04:47ViliamFManual testing100000001010000000---2.771--9.437%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-12T00:00:00ANONYMOUSv4_computers21256--0.009--
2001-11-10T00:00:00ANONYMOUSv4_computers21257--0.018--
2003-02-09T00:00:00ANONYMOUSv4_computers21258--0.037--
2022-03-07T17:30:27LordJuliusManual testing258260--0.111--
2009-02-15T12:50:00Sturle Sundeginglo.ifi260261--0.148--
2010-11-09T11:14:00Michael CManual testing261262--0.295--
2010-12-06T19:32:00Michael CManual testing262263--0.943--
2013-01-03T08:49:00dbaughManual testing263264--1.886--
2013-03-26T11:02:00Never Odd Or EvenManual testing264265--3.589--
2013-03-26T11:02:00Never Odd Or EvenManual testing265266--7.179--
2013-03-26T11:02:00Never Odd Or EvenManual testing266267--14.36--
2013-03-26T11:02:00Never Odd Or EvenManual testing267268--28.71--
2013-05-24T14:56:00Never Odd Or EvenManual testing268269--57.43--
2013-05-24T14:56:00Never Odd Or EvenManual testing269270--114.9--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.471 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.471 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.6990.000%
25500001.34626.016%
302500000.10789.809%
3510000000.00799.296%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002809.78
25000025000000447.687


Lucas-Lehmer results:
No L-L results for M1040959


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T19:23:47Oliver KruseGTX-3
90526999186055063205929
50F6406930DE5C__no
2017-10-15T21:32:32Oliver KruseThreadripper
90526999186055063205929
50F6406930DE5C__no
2017-12-26T22:01:06ATHec2-1xf
90526999186055063205929
50F6406930DE5C__no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 1010000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 10000, B2 = 122500 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
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1010
1011
TF factor-bounds graph:
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2100
Last modified: 2022-03-07T17:30:27+00:00