is 2 2568413 - 1
has 773170 decimal digits
takes 0.178 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26711.569067.1642 %4800004232358902.36488.6417 %13.933870.0017 %
Target2630.621465.0794 %120009000000.00611.4801 %0.627565.5962 %
Difference+4+10.9476+2.0848 %+468000+422335890+2.3587+7.1615%+13.3063+4.4055 %

Known prime factors (3 factors, 144.1 bits, 0.00561157% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
256841335957783825.1007
7
-171.740e-121.335e-72.047e-7
256841383371675486792391652.8881623019263
3 × 11933 × 45337
2014-03-3011933453370.00020.00140.0024
2568413813006183747134292012066.14015827014264200
23 × 3 × 52 × 26378357107
2018-03-2025263783571075.7500144.54269.96

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-08-31USAFSSUSAFSACS480000423235890
skipped known factor: 35957783
skipped known factor: 8337167548679239
--2.63312.037%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-03-30pdazzlManual testing24825452.888160.000


ECM factoring results:
Total ECM effort:0.462 GHz-days
Estimated T-Level:0.962
DigitsB1CompleteFacMiss
20110000.19282.505%
25500000.01898.236%
302500000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.277
50000500000020.185


Lucas-Lehmer results:
No L-L results for M2568413


PRP results:
dateuseridcompidcofactorsres64
2017-10-15Oliver KruseGTX-0
35957783
8337167548679239
81CCE355E85A08FA
2017-12-01storm55103570_Ivy_Bridge
35957783
8337167548679239
81CCE355E85A08FA
2018-03-20ATHxps
35957783
8337167548679239
81300618374713429201
81CCE355E85A08FA


CERT results:
No CERT results for M2568413


P-1 factor-bounds graph:
B1 = 480000, B2 = 423235890 (P-1 stage 2)
B1 = 480000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
254
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.96 ~= -13-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00