is 2 4543421 - 1
has 1367707 decimal digits
takes 0.598 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA3CDC5974503DAFFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.540065.6716 %2800001458428401.56767.4511 %8.107568.2295 %
Target2651.605864.6154 %2800027500000.03372.1341 %1.639465.3705 %
Difference+2+4.9342+1.0563 %+252000+143092840+1.5339+5.3169%+6.4681+2.8589 %

Known prime factors (1 factor, 63.6 bits, 0.00139902% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4543421136293122015949404892063.5631499895365364
22 × 32 × 11 × 463 × 8180593
2010-01-2946381805930.35130.08520.1589

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-10-22Jan Kuipersv4_computers25000225000--0.0071.612%
2023-03-08USAFSS6917th_Scty_Sq280000145842840
skipped known factor: 13629312201594940489
--1.6508.935%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2002-01-22David Campeauv4_computers212610.034


ECM factoring results:
Total ECM effort:0.395 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.395


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-11-05Jan Kuipersv4_computersA3CDC5974503DAFF0.598


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
13629312201594940489
145F93FDE55B056A
2018-02-22Oliver KruseGTX-0
13629312201594940489
145F93FDE55B056A


CERT results:
No CERT results for M4543421


P-1 factor-bounds graph:
B1 = 280000, B2 = 145842840 (P-1 stage 2)
B1 = 280000 (P-1 stage 1)
B1 = 25000, B2 = 225000 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
this exponent TF target: 65
TF double-checked to: 67
250
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270
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Last modified: 2024-02-09T03:30:02+00:00