is 2 3552433 - 1
has 1069389 decimal digits
takes 0.373 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD95915AEE0781043double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2678.364467.1642%1000001303648501.09615.9669%9.460469.1235%1.9593%
PrimeNet2600.043263.3333%150003000000.00462.9682%0.047964.4217%1.0883%
GPU722641.001965.6250%200003600000.00591.9206%1.007866.2852%0.6602%
Difference+3+7.3624+1.5392%+80000+130004850+1.0902+4.0463%+8.4526+2.8382%+2.8382%

Known prime factors (1 factor, 76.5 bits, 0.00215227% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35524331037910359346506494709032476.45814608443837596747
41 × 131 × 98081 × 27730897
2009-07-3198081277308977,093.40.24420.4297

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-07T04:46:00Carsten Kossendeyleela20000245000---0.005--1.111%
2020-08-20T13:34:20Jocelyn LaroucheManual testing35524335524336---0.081--3.929%
2022-03-01T15:49:18Jocelyn LaroucheManual testing100000100000---0.015--1.011%
2022-05-19T11:06:51Jocelyn LaroucheManual testing100000130364850-
skipped known factor: 103791035934650649470903
--1.096--5.967%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-16T14:56:00S485122USB-A260261--0.043--


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)
1999-07-12T00:00:00ANONYMOUSv4_computersD95915AEE07810430.373


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-09T05:08:39Oliver KruseGTX-3
103791035934650649470903
CAF3D05EABDB54__no
2017-12-17T22:52:36kkmrkkblmbrbkc4.xlarge
103791035934650649470903
CAF3D05EABDB54__no


P-1 factor-bounds graph:
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 355243, B2 = 3552433 (P-1 stage 2)
B1 = 355243 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
267
261
250
260
270
280
290
2100
Last modified: 2022-05-19T11:06:51+00:00