is 2 4412459 - 1
has 1328283 decimal digits
takes 0.550 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
Actual2676.734165.6716 %2240001148132701.16966.9493 %7.903768.0572 %
Target2651.653464.6154 %2600025000000.02912.0328 %1.682565.3347 %
Difference+2+5.0807+1.0563 %+198000+112313270+1.1405+4.9164%+6.2211+2.7225 %

Known prime factors (3 factors, 124.9 bits, 0.00283068% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4412459458895737928.77452
22 × 13
-4138.196e-128.121e-71.472e-6
4412459146276281069671443.7341657537
7 × 107 × 2213
2008-09-0710722134.712e-74.010e-54.079e-5
441245959223596159981931652.395671095144
23 × 4759 × 17627
2014-08-074759176270.00020.00100.0018

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-04-11Dylan Delgadocolab28000445000238124.9020.0102.008%
2023-03-14USAFSS6917th_Scty_Sq224000114813270
skipped known factor: 458895737
skipped known factor: 14627628106967
skipped known factor: 5922359615998193
--1.3008.379%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-07Will EdgingtonManual testing??
43.734
14
2014-08-07TJAOIManual testing??
52.395
16
0.000


ECM factoring results:
Total ECM effort:0.552 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.552


Lucas-Lehmer results:
No L-L results for M4412459


PRP results:
dateuseridcompidcofactorsres64
2017-11-17Oliver KruseGTX-0
458895737
14627628106967
5922359615998193
497851FECFFBA92A
2017-12-31kkmrkkblmbrbkc4.xlarge
458895737
14627628106967
5922359615998193
497851FECFFBA92A


CERT results:
No CERT results for M4412459


P-1 factor-bounds graph:
B1 = 224000, B2 = 114813270 (P-1 stage 2)
B1 = 224000 (P-1 stage 1)
B1 = 28000, B2 = 445000 (P-1 stage 2)
B1 = 28000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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270
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Last modified: 2024-03-13T02:15:48+00:00