is 2 344101117 - 1
has 103584758 decimal digits
takes 5,424.770 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
Actual2722.779259.7222 %176492552947750104.09008.0901 %106.869362.9807 %
Target2811,423.225064.1975 %2000000400000000541.40324.0723 %1,964.628265.6555 %
Difference-9-1,420.4457-4.4753 %-235075-347052250-437.3132+4.0178%-1,857.7589-2.6748 %

Known prime factors (1 factor, 127.9 bits, 0.00003718% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34410111732715943128763931957491458483387855447139127.943475382692942027444181348857455
3 × 5 × 41 × 139 × 253681 × 525253 × 1595453 × 26158507
2019-04-22159545326158507373,090,01867.06374.225

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2019-04-22kwe5ykdfManual testing176492552947750239127.943113.93.725%


Trial Factoring results:
57585960616263646566676869707172737475767778798081
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2011-01-23Architects Cubedm1_092642650.011
2014-02-19NesowaCeranet2652660.022
2016-03-11Richard172.26.176.512662670.043
2016-04-18Jacques MOLNEManual testing2672690.261
2016-06-26Jacques MOLNEManual testing2692700.347
2016-06-26Jacques MOLNEManual testing2702710.695
2016-06-26Jacques MOLNEManual testing2712721.390


ECM factoring results:
No ECM results for M344101117


Lucas-Lehmer results:
No L-L results for M344101117


PRP results:
No PRP results for M344101117


CERT results:
No CERT results for M344101117


P-1 factor-bounds graph:
B1 = 1764925, B2 = 52947750 (P-1 stage 2)
B1 = 1764925 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 81
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00