is 2 9307273 - 1
has 2801769 decimal digits
takes 2.572 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE0784667BC32131Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.192564.1791%17500038500000.15044.1584%3.342965.6687%1.4896%
PrimeNet2640.382462.5000%4000011000000.03923.4895%0.421663.8086%1.3086%
GPU722686.404164.7059%6000014000000.05332.4559%6.457465.5727%0.8668%
Difference-1-3.2116-0.5268%+115000+2450000+0.0971+1.7025%-3.1145+0.0960%+0.0960%

Known prime factors (1 factor, 73.3 bits, 0.00078716% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9307273113313802428313942898572373.263608737932304736
25 × 13 × 1463312337271
2014-07-12321463312337271373.5131,95159,676

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-10T00:00:00Team Prime Ribv4_computers50000800000---0.036--2.332%
2012-08-08T21:24:00James Heinrichi7-9201750003850000---0.150--4.158%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00Sturle Sundev4_computers21262--0.066--
1999-05-23T00:00:00ANONYMOUSv4_computers21264--0.382--
2013-09-06T00:58:00NesowaManual testing264265--0.401--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.261 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:1.261 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.261


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-05-10T00:00:00barryhv4_computersE0784667BC32131B2.572
2003-04-10T00:00:00Team Prime Ribv4_computersE0784667BC32131B2.572


PRP results:
dateuseridcompidcofactorsres64PRP
2019-08-23T20:27:49mnd9kitchen
11331380242831394289857
BF9CBB97FB4212__no
2020-11-15T08:33:06LaurV3tits
11331380242831394289857
BF9CBB97FB4212EAno


P-1 factor-bounds graph:
B1 = 175000, B2 = 3850000 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000, B2 = 800000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-11-15T08:33:06+00:00