is 2 143413 - 1
has 43172 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-L4402557348233156double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267207.191273.1343%10000000020000000000.942712.0370%208.133976.3682%3.2338%
PrimeNet2400.000055.0000%1600320000.000010.4345%0.000059.6955%4.6955%
GPU722440.000059.0909%2600500000.00007.0807%0.000061.9875%2.8966%
Difference+23+207.1912+14.0434%+99997400+1999950000+0.9427+4.9564%+208.1339+14.3806%+14.3806%

Known prime factors (1 factor, 92.3 bits, 0.06433580% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14341359539256938674185259382191672892.26620757970664679696143091
3 × 112 × 41 × 47123 × 217717 × 135946847
2009-01-032177171359468479.341e+90.03530.0641

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-11-25T00:00:00ANONYMOUSv4_computers100000025000000---0.011--4.472%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.001--1.404%
2002-07-20T00:00:00ANONYMOUSv4_computers655366553600---0.002--2.040%
2003-02-09T00:00:00ANONYMOUSv4_computers13107213107200---0.004--2.805%
2003-09-29T00:00:00ANONYMOUSv4_computers26214426214400---0.008--3.686%
2017-04-10T00:45:24kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 5953925693867418525938219167
--0.943--12.037%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-10-15T00:00:00ANONYMOUSv4_computers252253--0.004--
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.017--
2022-03-07T03:24:37LordJuliusManual testing254255--0.017--
2001-01-08T00:00:00ANONYMOUSv4_computers21256--0.067--
2002-07-06T00:00:00ANONYMOUSv4_computers21257--0.134--
2022-03-07T03:24:37LordJuliusManual testing257258--0.134--
2009-01-01T19:53:00Sturle Sundeginglo.ifi258259--0.268--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.706 GHz-days
Estimated T-Level:29.867
DigitsB1CurvesCompleteFacMiss
2011000889 / 1008.8900.013%
2550000889 / 2803.1754.156%
30250000623 / 6400.97337.749%
35100000027 / 15660.01798.290%

New Calculation Method

Total ECM effort:12.706 GHz-days
Estimated T-Level:29.867
DigitsB1CompleteFacMiss
201100068.9130.000%
255000010.2410.004%
302500001.12632.440%
3510000000.09990.607%
4030000000.00799.281%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002660.893
2500002500000059610.00
1000000100000000271.812


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-11-15T00:00:00ANONYMOUSv4_computers44025573482331560.000


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T22:52:29Oliver KruseOllaptop
5953925693867418525938219167
D294B4CAEDE3B3__no
2017-09-22T10:02:06Oliver KruseManual testing
5953925693867418525938219167
D294B4CAEDE3B3__no
2017-10-13T21:51:17kkmrkkblmbrbkManual testing
5953925693867418525938219167
D294B4CAEDE3B3__no
2020-04-17T15:45:24Oliver KruseAddPrpType5
5953925693867418525938219167
7E8767B9C68654__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
259
258
257
256
255
254
253
250
260
270
280
290
2100
Last modified: 2022-03-07T03:24:37+00:00