is 2 1726349 - 1
has 519683 decimal digits
takes 0.094 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8A808AF3879C889Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26717.212068.6567 %500000150000000.10155.0331 %17.313570.2342 %
Target2610.177965.5738 %70005500000.00291.3447 %0.180866.0367 %
Difference+6+17.0341+3.0829 %+493000+14450000+0.0986+3.6884%+17.1327+4.1975 %

Known prime factors (1 factor, 65.4 bits, 0.00379051% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1726349499617003725573950572065.43714470336059672
23 × 3 × 211 × 2857491323
2010-07-3121128574913234.226112.24722.873

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012---8.809%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-02-02ANONYMOUSv4_computers212580.022
2022-03-09LordJuliusManual testing21260
2022-03-08LordJuliusManual testing258260
2010-04-23Architects Cubedm1_76l2602610.089


ECM factoring results:
Total ECM effort:38.127 GHz-days
Estimated T-Level:25.714
DigitsB1CompleteFacMiss
201100014.7080.000%
25500001.67318.766%
302500000.14386.697%
3510000000.01099.015%


ECM Summary

B1B2factorcurvesGHz-days
10.103
50000500000025517.23
250000400000004920.79


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-28ANONYMOUSv4_computers8A808AF3879C889D0.094


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
49961700372557395057
D6572EB1F2757AE1
2017-10-19Oliver KruseThreadripper-PC
49961700372557395057
D6572EB1F2757AE1


CERT results:
No CERT results for M1726349


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
261
260
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.71 ~= 69-bit
250
260
270
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00