is 2 2301743 - 1
has 692894 decimal digits
takes 0.155 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5FB790A85933A830double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.909367.1642%50000005050000003.158210.9711%16.067570.7666%3.6025%
PrimeNet2580.016762.0690%100001900000.00192.9284%0.018663.1797%1.1108%
GPU722620.266964.5161%120002000000.00221.7378%0.269165.1328%0.6166%
Difference+5+12.6424+2.6481%+4988000+504800000+3.1560+9.2333%+15.7984+5.6339%+5.6339%

Known prime factors (1 factor, 61.8 bits, 0.00268570% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
230174340649382518163209511961.818883013058325
52 × 269 × 4703 × 27919
2010-01-094703279190.21390.00060.0009

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-08-25T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.284%
2018-02-16T11:42:09alpertronManual testing5000001500000012-
skipped known factor: 4064938251816320951
--0.126--5.210%
2021-04-07T12:56:27ViliamF35000000505000000-
skipped known factor: 4064938251816320951
--3.158--10.971%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-01-15T06:45:00Sturle Sundegoose.ifi260261--0.067--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.265 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.265 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000030.265


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-07T00:00:00ANONYMOUSv4_computers5FB790A85933A8300.155


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-11T12:36:05Oliver KruseGTX-0
4064938251816320951
897546C0C84C40__no
2017-11-22T15:26:35ATHec2-1xf
4064938251816320951
897546C0C84C40__no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 505000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
261
250
260
270
280
290
2100
Last modified: 2021-04-07T12:56:27+00:00