is 2 423289 - 1
has 127423 decimal digits
takes 0.004 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE6916CC99F3409__double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26770.197771.6418%30000001000000000.11657.1562%70.314273.6712%2.0294%
PrimeNet2400.000052.5000%40001400000.000217.8508%0.000260.9791%8.4791%
GPU722440.000056.8182%70002200000.000313.1619%0.000362.5017%5.6835%
Difference+23+70.1977+14.8236%+2993000+99780000+0.1162-6.0056%+70.3139+11.1695%+11.1695%

Known prime factors (1 factor, 71.4 bits, 0.01686546% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
42328930933177908137538467432271.3903653907603095939
7 × 23 × 18859 × 1203408361
2008-01-121885912034083611,364.00.92191.7214

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-01T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.466%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.707%
2002-08-24T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.430%
2003-03-27T00:00:00ANONYMOUSv4_computers13107213107200---0.012--3.281%
2016-03-17T18:47:52alpertronManual testing300000010000000012---0.116--7.156%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-18T00:00:00ANONYMOUSv4_computers21256--0.023--
2002-01-22T00:00:00ANONYMOUSv4_computers21257--0.045--
2004-01-07T00:00:00ANONYMOUSv4_computers21258--0.091--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.512 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000419 / 1004.1901.483%
2550000419 / 2801.49622.333%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:10.512 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.6680.000%
25500003.0074.945%
302500000.28675.150%
3510000000.02297.838%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002752.905
250000250000001447.607


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-03T00:00:00ANONYMOUSv4_computersE6916CC99F3409__0.004


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-23T13:22:05Oliver KruseDoppelherz
3093317790813753846743
47EF37ED341BD4__no
2017-09-24T17:46:56Oliver KruseManual testing
3093317790813753846743
47EF37ED341BD4__no
2017-11-07T01:18:58kkmrkkblmbrbkc4.xlarge
3093317790813753846743
47EF37ED341BD4__no
2020-04-18T17:31:55Oliver KruseAddPrpType5
3093317790813753846743
BEF10707EFC026__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (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 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
258
257
256
250
260
270
280
290
2100
Last modified: 2020-08-28T11:11:09+00:00