is 2 1431581 - 1
has 430949 decimal digits
takes 0.055 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L56C620CD2D22BD19double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26720.756068.6567%500000150000000.07144.9205%20.827470.1990%1.5423%
PrimeNet2560.006762.5000%65001100000.00072.7742%0.007463.5403%1.0403%
GPU722600.107365.0000%6000800000.00061.3040%0.107865.4564%0.4564%
Difference+7+20.6487+3.6567%+494000+14920000+0.0709+3.6165%+20.7196+4.7426%+4.7426%

Known prime factors (1 factor, 77.6 bits, 0.00541816% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14315812236095782753454806959512477.56578098821608887475
3 × 52 × 11 × 94665238313803
2014-02-12259466523831380332,835285,535533,300

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-08T07:15:00markrlounge2000005000000---0.026--3.479%
2016-03-17T19:14:14alpertronManual testing5000001500000012---0.071--4.921%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-13T00:00:00ANONYMOUSv4_computers21257--0.013--
2003-07-21T00:00:00ANONYMOUSv4_computers21258--0.027--
2009-02-14T23:31:00Sturle Sundegimo.ifi260261--0.107--
2011-05-07T23:53:00GrunwalderGIMPManual testing21263--1.115--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.329 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:25.329 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
50000500000024811.71
250000350000005013.62


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-10-19T00:00:00ANONYMOUSv4_computers56C620CD2D22BD190.055


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T22:09:05Oliver KruseGTX-2
223609578275345480695951
54A51F31260405__no
2017-10-27T02:22:18kkmrkkblmbrbkold
223609578275345480695951
54A51F31260405__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 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
263
261
258
257
250
260
270
280
290
2100
Last modified: 2021-11-04T11:46:10+00:00