is 2 9429451 - 1
has 2838548 decimal digits
takes 2.606 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L09415ED9688C40CDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.151264.1791%11500021562500.09073.4502%3.241865.4150%1.2359%
PrimeNet2640.377562.5000%4000011000000.03923.4965%0.416663.8112%1.3112%
GPU722686.321164.7059%6000014000000.05332.4610%6.374465.5745%0.8686%
Difference-1-3.1700-0.5268%+55000+756250+0.0374+0.9891%-3.1326-0.1595%-0.1595%

Known prime factors (1 factor, 77.1 bits, 0.00081766% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
94294511620939781801267482683692477.1018595090964475384
23 × 37 × 257 × 112986262547
2014-08-292571129862625476,480.82,467.04,607.7

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-05-04T00:00:00ANONYMOUSv4_computers4500045000---0.018--0.753%
2003-07-30T00:00:00ANONYMOUSv4_computers50000662500---0.033--2.225%
2012-12-03T01:01:00NesowaOutback1150002156250---0.091--3.450%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21255--0.001--
1999-04-02T00:00:00ANONYMOUSv4_computers21264--0.377--
2013-09-03T05:46:00NesowaManual testing264265--0.396--


ECM factoring results:

Old Calculation Method

Total ECM effort:0.420 GHz-days
Estimated T-Level:0.050
DigitsB1CurvesCompleteFacMiss
20110001 / 1000.01099.000%
25500001 / 2800.00499.643%

New Calculation Method

Total ECM effort:0.420 GHz-days
Estimated T-Level:0.050
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.420


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-08T00:00:00ANONYMOUSv4_computers09415ED9688C40CD2.606
2003-09-09T00:00:00ANONYMOUSv4_computers09415ED9688C40CD2.606


PRP results:
dateuseridcompidcofactorsres64PRP
2019-09-07T15:10:55mnd950869b
162093978180126748268369
B20C810DD884C5__no
2020-11-27T02:36:03ATHec2-PRPCF
162093978180126748268369
B20C810DD884C55Eno


P-1 factor-bounds graph:
B1 = 115000, B2 = 2156250 (P-1 stage 2)
B1 = 115000 (P-1 stage 1)
B1 = 50000, B2 = 662500 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 45000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
267
265
264
255
250
260
270
280
290
2100
Last modified: 2020-11-27T02:36:03+00:00