is 2 1045507 - 1
has 314729 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-L3203F69673458306double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26728.420670.1493%300000100000000.03564.0878%28.456271.3695%1.2203%
PrimeNet2560.009264.2857%4500600000.00031.9572%0.009564.9847%0.6990%
GPU722600.146966.6667%4500180000.00020.6170%0.147166.8723%0.2057%
Difference+7+28.2737+3.4826%+295500+9982000+0.0354+3.4708%+28.3091+4.4972%+4.4972%

Known prime factors (1 factor, 71.6 bits, 0.00684644% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
104550735296636842580017026472271.5801688015328571689
3 × 132 × 3329418794027
2009-08-081693329418794027743.327,795.714,560

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-22T00:00:00Jocelyn Larouchev4_computers1000090000---0.001--0.475%
2016-03-17T18:59:34alpertronManual testing3000001000000012---0.036--4.088%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-04T00:00:00ANONYMOUSv4_computers21256--0.009--
2001-11-14T00:00:00ANONYMOUSv4_computers21257--0.018--
2003-03-27T00:00:00ANONYMOUSv4_computers21258--0.037--
2022-03-07T17:30:27LordJuliusManual testing258260--0.110--
2009-02-15T23:10:00Sturle Sundeinteravia.ifi260261--0.147--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.446 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000323 / 1003.2303.892%
2550000323 / 2801.15431.486%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.446 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002799.75
25000025000000447.692


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-08-25T00:00:00ANONYMOUSv4_computers3203F696734583060.031


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T19:55:55Oliver KruseGTX-2
3529663684258001702647
6277D5363EF4B5__no
2017-10-15T22:27:50Oliver KruseThreadripper
3529663684258001702647
6277D5363EF4B5__no
2017-12-27T10:22:27ATHec2-1xf
3529663684258001702647
6277D5363EF4B5__no


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 10000, B2 = 90000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
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101
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109
1010
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1013
TF factor-bounds graph:
267
261
260
258
257
256
250
260
270
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2100
Last modified: 2022-03-07T17:30:27+00:00