is 2 1455323 - 1
has 438096 decimal digits
takes 0.056 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LC974D14F83EE7052double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26720.417468.6567%500000150000000.07144.9303%20.488870.2020%1.5453%
PrimeNet2560.006662.5000%70001200000.00072.9062%0.007363.5898%1.0898%
GPU722600.105565.0000%6500900000.00061.3976%0.106165.4892%0.4892%
Difference+7+20.3119+3.6567%+493500+14910000+0.0708+3.5327%+20.3827+4.7129%+4.7129%

Known prime factors (1 factor, 65.3 bits, 0.00448931% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1455323465049164855725559532065.33415977524056712
23 × 46349 × 43090261
2013-09-0146349430902617.13810.13240.2428

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-29T00:00:00Team Prime Ribv4_computers15000243750---0.002--0.839%
2010-08-27T10:51:00Rob_Deetwopc100000200000---0.006--1.217%
2010-08-28T13:56:00Rob_Deetwopc200000300000---0.011--1.520%
2010-08-29T13:11:00Rob_Deetwopc2000001000000---0.013--2.334%
2010-08-30T12:17:00Rob_Deetwopc2000002000000---0.017--2.821%
2010-08-31T10:58:00Rob_Deetwopc2000003000000---0.020--3.112%
2010-09-01T11:19:00Rob_Deetwopc2000004000000---0.023--3.322%
2010-09-02T11:16:00Rob_Deetwopc2000005000000---0.026--3.486%
2016-03-17T19:14:33alpertronManual testing5000001500000012---0.071--4.930%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-13T00:00:00ANONYMOUSv4_computers21257--0.013--
2003-07-21T00:00:00ANONYMOUSv4_computers21258--0.026--
2010-05-06T19:20:00Architects Cubeda3_bu2260261--0.106--
2011-03-08T05:14:00GrunwalderGIMPManual testing21263--1.097--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.406 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000298 / 1002.9805.004%
2550000298 / 2801.06434.432%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.406 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.1670.001%
25500001.34825.975%
302500000.11289.363%
3510000000.00899.239%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000024811.75
250000350000005013.66


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27T00:00:00ANONYMOUSv4_computersC974D14F83EE70520.056


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T02:24:57Oliver KruseGTX-0
46504916485572555953
40CFF389E3B5FF__no
2017-10-27T16:24:50kkmrkkblmbrbkc4.xlarge
46504916485572555953
40CFF389E3B5FF__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 200000, B2 = 4000000 (P-1 stage 2)
B1 = 200000, B2 = 3000000 (P-1 stage 2)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 200000, B2 = 1000000 (P-1 stage 2)
B1 = 200000, B2 = 300000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 243750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
267
263
261
258
257
250
260
270
280
290
2100
Last modified: 2022-01-06T11:54:29+00:00