is 2 648617 - 1
has 195254 decimal digits
takes 0.010 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6EF19222792DC6__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26745.811270.1493%1000000300000000.05685.5093%45.868071.7938%1.6446%
PrimeNet2400.000050.0000%60002400000.000420.9486%0.000460.4743%10.4743%
GPU722440.000054.5455%110004000000.000715.9544%0.000761.7974%7.2520%
Difference+23+45.8112+15.6038%+989000+29600000+0.0561-10.4451%+45.8673+9.9964%+9.9964%

Known prime factors (1 factor, 67.8 bits, 0.01045284% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6486172567459824051151747992167.799197918018187247
8400211 × 23561077
2008-01-2484002112356107747.0780.20330.3767

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.191%
2002-01-22T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.412%
2002-03-10T00:00:00ANONYMOUSv4_computers8192819200---0.001--0.748%
2002-05-05T00:00:00ANONYMOUSv4_computers163841638400---0.002--1.222%
2002-07-06T00:00:00ANONYMOUSv4_computers327683276800---0.005--1.841%
2002-10-07T00:00:00ANONYMOUSv4_computers655366553600---0.009--2.600%
2003-06-01T00:00:00ANONYMOUSv4_computers13107213107200---0.018--3.487%
2016-03-17T18:50:15alpertronManual testing10000003000000012---0.057--5.509%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-01-19T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:02:12LordJuliusManual testing254255--0.004--
2001-04-15T00:00:00ANONYMOUSv4_computers21256--0.015--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.030--
2003-10-23T00:00:00ANONYMOUSv4_computers21258--0.059--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.524 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000324 / 1003.2403.853%
2550000324 / 2801.15731.373%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:8.524 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002804.773
25000025000000443.750


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-09-14T00:00:00ANONYMOUSv4_computers6EF19222792DC6__0.010


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-27T13:51:19Oliver KruseGTX-3
256745982405115174799
C05D752933811C__no
2017-09-28T09:44:37Oliver KruseManual testing
256745982405115174799
C05D752933811C__no
2017-11-08T23:06:23kkmrkkblmbrbkc4.large
256745982405115174799
C05D752933811C__no
2020-04-19T21:02:56Oliver KruseAddPrpType5
256745982405115174799
C6362237A9DDA7__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
267
258
257
256
255
254
250
260
270
280
290
2100
Last modified: 2022-03-07T09:02:12+00:00