is 2 147571 - 1
has 44424 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA101175059AE31__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267201.353473.1343%10000000020000000000.942712.0621%202.296076.3749%3.2406%
PrimeNet2400.000055.0000%1600320000.000010.4858%0.000059.7186%4.7186%
GPU722440.000059.0909%2600500000.00007.1181%0.000062.0029%2.9119%
Difference+23+201.3533+14.0434%+99997400+1999950000+0.9427+4.9440%+202.2960+14.3720%+14.3720%

Known prime factors (1 factor, 67.9 bits, 0.04597896% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1475712662982983217843389212167.852902271782131260
22 × 3 × 5 × 48859 × 307780819
2008-01-2148859307780819248.700.07790.1451

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.011--4.488%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.411%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.050%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.817%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.700%
2017-04-22T20:53:29kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 266298298321784338921
--0.943--12.062%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-21T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.016--
2022-02-28T06:23:24LordJuliusManual testing254255--0.016--
2001-01-08T00:00:00ANONYMOUSv4_computers21256--0.065--
2002-07-14T00:00:00ANONYMOUSv4_computers21257--0.130--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.307 GHz-days
Estimated T-Level:29.820
DigitsB1CurvesCompleteFacMiss
2011000882 / 1008.8200.014%
2550000882 / 2803.1504.261%
30250000617 / 6400.96438.105%
35100000021 / 15660.01398.668%

New Calculation Method

Total ECM effort:12.307 GHz-days
Estimated T-Level:29.820
DigitsB1CompleteFacMiss
201100067.8740.000%
255000010.0370.004%
302500001.09533.466%
3510000000.09590.958%
4030000000.00799.320%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002650.890
2500002500000059610.01
1000000100000000211.410


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-02-18T00:00:00ANONYMOUSv4_computersA101175059AE31__0.000


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T23:05:10Oliver KruseDoppelherz
266298298321784338921
E39E031094537C__no
2017-09-22T10:01:35Oliver KruseManual testing
266298298321784338921
E39E031094537C__no
2017-10-11T06:57:08kkmrkkblmbrbkc4.largeE39E031094537C__no
2020-04-17T15:48:00Oliver KruseAddPrpType5
266298298321784338921
6C18E36A50AA3E__no


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (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 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-02-28T06:23:24+00:00