is 2 9427931 - 1
has 2838091 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-L66BC0B61E743B89Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2673.151764.1791%11500021562500.09073.4501%3.242365.4150%1.2359%
PrimeNet2640.377562.5000%4000011000000.03923.4965%0.416763.8112%1.3112%
GPU722686.322264.7059%6000014000000.05332.4610%6.375565.5745%0.8686%
Difference-1-3.1705-0.5268%+55000+756250+0.0374+0.9891%-3.1331-0.1595%-0.1595%

Known prime factors (1 factor, 72.6 bits, 0.00076966% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
942793169768341072044035405612272.563370008759461880
23 × 3 × 5 × 7 × 11 × 157 × 255058841
2014-08-25157255058841101.445.569210.402

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-05-11T00:00:00ANONYMOUSv4_computers50000800000---0.036--2.337%
2012-12-02T01:19:00NesowaOutback1150002156250---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--0.378--
1999-04-13T00:00:00ANONYMOUSv4_computers21264--0.378--
1999-06-26T00:00:00ANONYMOUSv4_computers21264--0.378--
1999-07-27T00:00:00ANONYMOUSv4_computers21264--0.378--
2013-09-03T05:46:00NesowaManual testing264265--0.396--


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)
2000-03-01T00:00:00ANONYMOUSv4_computers66BC0B61E743B89F2.606
2003-05-11T00:00:00ANONYMOUSv4_computers66BC0B61E743B89F2.606


PRP results:
dateuseridcompidcofactorsres64PRP
2019-09-14T12:09:04mnd975211backdoor
6976834107204403540561
1C12F7F3F146A2__no
2020-11-27T19:11:27kutensvega
6976834107204403540561
1C12F7F3F146A238no


P-1 factor-bounds graph:
B1 = 115000, B2 = 2156250 (P-1 stage 2)
B1 = 115000 (P-1 stage 1)
B1 = 50000, B2 = 800000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
265
264
255
250
260
270
280
290
2100
Last modified: 2020-11-27T19:11:27+00:00