is 2 486391 - 1
has 146419 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD84F81EDE703C236double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26761.090671.6418%2000000010000000001.253411.3745%62.344074.8674%3.2256%
PrimeNet2400.000052.5000%45001600000.000218.7110%0.000261.3877%8.8877%
GPU722440.000056.8182%80002600000.000413.9750%0.000462.8528%6.0347%
Difference+23+61.0906+14.8236%+19992000+999740000+1.2530-2.6005%+62.3436+12.0146%+12.0146%

Known prime factors (1 factor, 111.8 bits, 0.02297710% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
486391439211274314752252703125120561353734111.7594515002069474478893556060048
24 × 3 × 21163 × 59441 × 31969387 × 2338939931
2014-06-073196938723389399313.476e+112.69254.0646

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-07T00:00:00Alex Kruppav4_computers1000004000000---0.005--2.487%
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.749%
2002-09-22T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.484%
2003-04-27T00:00:00ANONYMOUSv4_computers13107213107200---0.014--3.347%
2010-11-25T15:23:00Rob_Deetwopc5000001000000---0.009--2.155%
2010-11-26T16:14:00Rob_Deetwopc10000002000000---0.018--2.809%
2012-10-11T22:38:00markrManual testing200000001000000000---1.253--11.375%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-27T00:00:00ANONYMOUSv4_computers21254--0.005--
2022-03-07T07:41:38LordJuliusManual testing254255--0.005--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.020--
2002-01-22T00:00:00ANONYMOUSv4_computers21257--0.039--
2003-12-31T00:00:00ANONYMOUSv4_computers21258--0.079--
2022-03-07T07:41:38LordJuliusManual testing258260--0.237--
2011-12-23T13:55:00Sid & AndyBuzz260261--0.316--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.928 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000423 / 1004.2301.425%
2550000423 / 2801.51122.016%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:12.928 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002793.611
250000250000001449.318


Lucas-Lehmer results:
No L-L results for M486391


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-26T20:47:34Oliver KruseDoppelherz
4392112743147522527031251205613537
ED4BC22857909B__no
2017-09-27T07:36:15Oliver KruseManual testing
4392112743147522527031251205613537
ED4BC22857909B__no
2017-11-09T06:57:58kkmrkkblmbrbkc4.large
4392112743147522527031251205613537
ED4BC22857909B__no
2020-04-18T22:19:43Oliver KruseAddPrpType5
4392112743147522527031251205613537
738E0BC525A129__no


P-1 factor-bounds graph:
B1 = 20000000, B2 = 1000000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
B1 = 1000000, B2 = 2000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 500000, B2 = 1000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (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
261
260
258
257
256
255
254
250
260
270
280
290
2100
2110
2120
Last modified: 2022-03-07T07:41:38+00:00