is 2 7174021 - 1
has 2159596 decimal digits
takes 1.564 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L0C00F6F304BC2BD4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2674.141965.6716 %400006100000.02251.9803 %4.164366.3515 %
Target2674.141965.6716 %4500050000000.09962.3091 %4.241566.4643 %
Difference----5000-4390000-0.0771-0.3288 %-0.0771-0.1129 %

Known prime factors (1 factor, 64.6 bits, 0.00090096% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
7174021286427137314234513292064.6351996280309984
25 × 19 × 43 × 101 × 756011
2011-12-241017560110.59580.01310.0243

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-06-24Carsten Kossendeymother400006100004--0.0221.980%
2011-12-24James Heinrich3930K2064.6350.0920.000%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-06-14ANONYMOUSv4_computers212620.043
2005-09-03David Campeauv4_computers212630.137


ECM factoring results:
No ECM results for M7174021


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13ANONYMOUSv4_computers5F82D90A869F1F0F1.564
1999-07-12ANONYMOUSv4_computers0C00F6F304BC2BD41.564
1999-09-07ANONYMOUSv4_computers0C00F6F304BC2BD41.564


PRP results:
dateuseridcompidcofactorsres64
2018-02-17Oliver KruseGTX-6
28642713731423451329
E901475AD72F29B9
2019-03-31kkmrkkblmbrbkc5.large
28642713731423451329
E901475AD72F29B9


CERT results:
No CERT results for M7174021


P-1 factor-bounds graph:
B1 = 40000, B2 = 610000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
101
102
103
104
105
101
102
103
104
105
106
TF factor-bounds graph:
263
262
this exponent TF target: 67
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00