is 2 2411413 - 1
has 725908 decimal digits
takes 0.163 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L405147FFB0A8F56Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26712.322267.1642%2000000600000000.50557.6190%12.827769.6659%2.5018%
PrimeNet2590.031862.7119%100001800000.00192.5207%0.033763.6518%0.9399%
GPU722630.661965.0794%100001400000.00171.2761%0.663565.5250%0.4456%
Difference+4+11.6603+2.0848%+1990000+59860000+0.5038+6.3429%+12.1641+4.1409%+4.1409%

Known prime factors (1 factor, 63.2 bits, 0.00262043% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2411413105168167809281544092063.1892180633674308
22 × 3 × 46747 × 3887297
2009-02-014674738872971.31530.02510.0387

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.288%
2018-09-28T16:25:40alpertronManual testing20000006000000012-
skipped known factor: 10516816780928154409
--0.505--7.619%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.032--
2022-03-09T16:37:59LordJuliusManual testing21260--0.064--
2009-01-14T23:14:00Sturle Sundegibus.ifi260261--0.064--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CurvesCompleteFacMiss

New Calculation Method

Total ECM effort:0.000 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers405147FFB0A8F56F0.163


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-13T02:57:56Oliver KruseGTX-2C379EE09BF8F30__no
2017-11-26T13:14:16ATHec2-1xf
10516816780928154409
C379EE09BF8F30__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (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
TF factor-bounds graph:
267
261
260
259
250
260
270
280
290
2100
Last modified: 2022-03-09T16:37:59+00:00