is 2 1940957 - 1
has 584287 decimal digits
takes 0.105 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB8CDCA342A98E37Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26715.308968.6567%1000000300000000.20296.2326%15.511870.6102%1.9535%
PrimeNet2580.019863.7931%80001400000.00122.4645%0.021064.6854%0.8923%
GPU722620.316566.1290%8000900000.00101.1520%0.317566.5192%0.3902%
Difference+5+14.9924+2.5277%+992000+29910000+0.2020+5.0807%+15.1943+4.0910%+4.0910%

Known prime factors (2 factors, 137.1 bits, 0.00706226% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
194095771612905203310821371962.6351844783403324
22 × 3 × 153731950277
2011-08-2741537319502770.7986658.861,230.6
1940957256355632051526206432392374.4416603846248307567
3 × 7 × 12472643 × 25212689
2021-10-2512472643252126892,213.01.03571.9968

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
194095718358371576440775441474425184799388272174342137.075
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-09T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.271%
2003-02-24T00:00:00ANONYMOUSv4_computers4096409600---0.002--0.543%
2011-05-07T00:33:00kurlykk100000030000000---0.203--6.233%
2016-03-16T12:41:54alpertronManual testing5000001500000012---0.101--5.105%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1997-12-30T00:00:00ANONYMOUSv4_computers21257--0.010--
1998-02-24T00:00:00ANONYMOUSv4_computers21257--0.010--
1998-03-03T00:00:00ANONYMOUSv4_computers21257--0.010--
1998-03-17T00:00:00ANONYMOUSv4_computers21257--0.010--
1998-02-19T00:00:00Wayne Yeungv4_computers21257--0.010--
1998-12-21T00:00:00ANONYMOUSv4_computers21258--0.020--
2003-03-27T00:00:00ANONYMOUSv4_computers21259--0.040--
2022-03-09T05:51:25LordJuliusManual testing21260--0.079--
2010-01-28T04:51:00S485122USB-W260261--0.079--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.250 GHz-days
Estimated T-Level:24.464
DigitsB1CurvesCompleteFacMiss
2011000250 / 1002.5008.106%
2550000250 / 2800.89340.883%

New Calculation Method

Total ECM effort:19.250 GHz-days
Estimated T-Level:24.464
DigitsB1CompleteFacMiss
20110008.5290.020%
25500000.77146.235%
302500000.04895.341%
3510000000.00299.781%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000161.113
500005000000181.252
500005747109141.032
50000660000020215.85


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-19T00:00:00Wayne Yeungv4_computersB8CDCA342A98E37D0.105
1999-01-10T00:00:00ANONYMOUSv4_computersB8CDCA342A98E37D0.105


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-05T03:05:11Oliver KruseGTX-3
7161290520331082137
843930D6FDF5DA__no
2017-11-11T04:40:38kkmrkkblmbrbkc4.xlarge
7161290520331082137
843930D6FDF5DA__no
2021-10-25T19:09:47MarkSdesktop-i7
7161290520331082137
25635563205152620643239
8892F1EB91B106CFno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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257
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Last modified: 2022-04-21T11:52:20+00:00