is 2 1788509 - 1
has 538395 decimal digits
takes 0.097 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9253982A8CFA56BBdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26716.613868.6567 %500000150000000.10155.0546 %16.715370.2410 %
Target2610.171865.5738 %80006500000.00341.4931 %0.175166.0878 %
Difference+6+16.4420+3.0829 %+492000+14350000+0.0981+3.5615%+16.5401+4.1532 %

Known prime factors (1 factor, 74.2 bits, 0.00414661% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1788509211413622484735273476812374.1625910331524323760
24 × 32 × 5 × 47 × 97 × 2281 × 789377
2011-02-0722817893773,028.20.00360.0063

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-02-07Carsten Kossendeymother2374.1620.0140.000%
2016-03-16alpertronManual testing5000001500000012
skipped known factor: 21141362248473527347681
---8.843%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-25ANONYMOUSv4_computers212580.021
2010-04-20Architects Cubedm1_76l2602610.086
2010-10-27GrunwalderGIMPManual testing212630.892


ECM factoring results:
Total ECM effort:38.567 GHz-days
Estimated T-Level:25.716
DigitsB1CompleteFacMiss
201100014.9920.000%
25500001.69318.396%
302500000.14386.653%
3510000000.01099.019%


ECM Summary

B1B2factorcurvesGHz-days
50000500000026518.10
250000400000004820.47


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06ANONYMOUSv4_computers9253982A8CFA56BB0.097


PRP results:
dateuseridcompidcofactorsres64
2017-10-03Oliver KruseGTX-0
21141362248473527347681
847B042B09A96BFD
2017-11-05kkmrkkblmbrbkc4.xlarge
21141362248473527347681
847B042B09A96BFD


CERT results:
No CERT results for M1788509


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
263
261
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00