is 2 1683779 - 1
has 506868 decimal digits
takes 0.079 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LC38BCBBBAE94CE72double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26717.647268.6567 %500000150000000.08805.0179 %17.735270.2295 %
Target2610.182465.5738 %70004500000.00211.2560 %0.184666.0062 %
Difference+6+17.4647+3.0829 %+493000+14550000+0.0859+3.7619%+17.5506+4.2233 %

Known prime factors (2 factors, 144.8 bits, 0.00859711% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1683779525893346751266761832065.51115616459961529
3 × 72 × 130003 × 817169
2015-05-071300038171694.33290.01140.0181
16837797162911588361762295463672479.245212703436388081877
3 × 7 × 39882473 × 253964569
2008-06-163988247325396456972,7133.51755.5389

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-05-07alpertronManual testing500000150000001222065.5110.1018.785%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-11-14ANONYMOUSv4_computers212570.011
2003-03-16ANONYMOUSv4_computers212580.023


ECM factoring results:
Total ECM effort:38.449 GHz-days
Estimated T-Level:25.718
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.67418.740%
302500000.14486.623%
3510000000.01099.005%


ECM Summary

B1B2factorcurvesGHz-days
10.155
50000500000025117.15
250000400000005021.14


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07ANONYMOUSv4_computersC38BCBBBAE94CE720.079


PRP results:
dateuseridcompidcofactorsres64
2017-10-03Oliver KruseGTX-2
716291158836176229546367
52589334675126676183
3AAB2A0C403387A4
2017-10-05Oliver KruseManual testing
716291158836176229546367
52589334675126676183
3AAB2A0C403387A4
2017-11-11kkmrkkblmbrbkc4.xlarge
52589334675126676183
716291158836176229546367
3AAB2A0C403387A4


CERT results:
No CERT results for M1683779


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
104
105
106
107
108
104
105
106
107
108
109
TF factor-bounds graph:
258
257
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
250
260
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280
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Last modified: 2024-03-03T02:29:32+00:00