is 2 344027729 - 1
has 103562666 decimal digits
takes 5,423.613 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
Actual2722.779859.7222 %186762241120.68281.2294 %3.462660.2174 %
Target2811,423.528664.1975 %2000000400000000541.40324.0722 %1,964.931865.6555 %
Difference-9-1,420.7487-4.4753 %-1981324-399775888-540.7204-2.8428 %-1,961.4692-5.4381 %

Known prime factors (1 factor, 86.2 bits, 0.00002505% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
344027729866066035728979778251585932686.163125871545041792224
25 × 3 × 1301 × 1559 × 8627 × 74933
2019-04-1386277493345,5530.27980.4014

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2019-04-13kwe5ykdfManual testing1867622411222686.1630.7470.305%


Trial Factoring results:
57585960616263646566676869707172737475767778798081
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2011-01-24Architects Cubedm1_722642650.011
2014-02-19Koekiens22652660.022
2016-03-07Zane DuffieldZane_Duffield2662670.043
2016-04-17Jacques MOLNEManual testing2672690.261
2016-06-19Jacques MOLNEManual testing2692700.348
2016-06-19Jacques MOLNEManual testing2702710.695
2016-06-19Jacques MOLNEManual testing2712721.390


ECM factoring results:
No ECM results for M344027729


Lucas-Lehmer results:
No L-L results for M344027729


PRP results:
No PRP results for M344027729


CERT results:
No CERT results for M344027729


P-1 factor-bounds graph:
B1 = 18676, B2 = 224112 (P-1 stage 2)
B1 = 18676 (P-1 stage 1)
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106
TF factor-bounds graph:
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265
this exponent TF target: 81
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00