[QUOTE=CedricVonck;91501]Are there any small Composites left to test?
Or can anyone point me in the direction of an ecmnet server?

Tx.
C.[/QUOTE]

Please define what you mean by "test". All remaining composites
have been tested for primality. That is how we know they are
composite.

Or by "test" did you mean "factor"??

If so, we need to know what you mean by "small". There are
quite a few composites left under (say) 170 digits among the homogeneous
Cunningham tables that are accessible to SNFS. 170 digits by SNFS
is small by current standards.

[QUOTE=R.D. Silverman;91612]Please define what you mean by "test". All remaining composites
have been tested for primality. That is how we know they are
composite.

Or by "test" did you mean "factor"??

If so, we need to know what you mean by "small". There are
quite a few composites left under (say) 170 digits among the homogeneous
Cunningham tables that are accessible to SNFS. 170 digits by SNFS
is small by current standards.[/QUOTE]

Oops. Mea Culpa. I failed to give a reference. See

[url]http://www.leyland.vispa.com/numth/factorization/anbn/main.htm[/url]

[QUOTE=R.D. Silverman;91612]Please define what you mean by "test". All remaining composites
have been tested for primality. That is how we know they are
composite.

Or by "test" did you mean "factor"??

If so, we need to know what you mean by "small". There are
quite a few composites left under (say) 170 digits among the homogeneous
Cunningham tables that are accessible to SNFS. 170 digits by SNFS
is small by current standards.[/QUOTE]

Yes I meant testing composites.

I hereby reserving

((4^302)+(3^302)) C181.
I am going to throw some curves against

[QUOTE=CedricVonck;91616]Yes I meant testing composites.

I hereby reserving

((4^302)+(3^302)) C181.
I am going to throw some curves against[/QUOTE]

Terrific! Go get it.

Thank you :smile: :smile:

I'm running some ECM curves on the C187 factor 4^317-3^317, with B1=3e6.

2200 curves so far. I'll probably take it out to 3000 curves or so, then run a few at the B1=11e6 level.

This should give me some time to learn more about SNFS/GNFS. I fished my old algebraic number theory book out of the landfill.

3,2,362+ Done
 

[QUOTE=R.D. Silverman;91383]

Here is 3,2,362+ C163 = p46.p54.p63

p46 = 2943738339276883838644077668041196839130316253
p54 = 713515117343543807310922849320558702166243866059956093
p60 = 176447012199512786447525233139026989421691889704811565290317317


I have started 3,2,367+

[QUOTE]

[QUOTE=R.D. Silverman;91922][QUOTE=R.D. Silverman;91383]

Here is 3,2,362+ C163 = p46.p54.p63

p46 = 2943738339276883838644077668041196839130316253
p54 = 713515117343543807310922849320558702166243866059956093
p60 = 176447012199512786447525233139026989421691889704811565290317317


I have started 3,2,367+

[QUOTE][/QUOTE]

:surprised p60? you mean p63, I think.

4,3,317- and 4,3,277-
 

4,3,317- survived 4000 curves at B1=3e6.

I have started SNFS on 4,3,277-, as it's a more modest target.

[QUOTE=FactorEyes;92105]4,3,317- survived 4000 curves at B1=3e6.
I have started SNFS on 4,3,277-, as it's a more modest target.[/QUOTE]

4,3,277- C159 = p76.p83

p76 = 2989799275424356679116481498081414003188413366892275408038471524790980238951

p83 = 83547581112517209579615429588497585860840441702158056266400326948645863183399964091

Interesting: out of 31 matrix dependencies, ggnfs split the two factors only three times. Don't get me wrong: I'm always grateful to find a 76-digit factor, no matter how many sqrt's it takes. This may mean that I need to upgrade to the latest snapshot of ggnfs.

I'm working on 4,3,281- (48 hours of ECM @11e6, then SNFS).

[QUOTE=FactorEyes;92593]4,3,277- C159 = p76.p83

p76 = 2989799275424356679116481498081414003188413366892275408038471524790980238951

p83 = 83547581112517209579615429588497585860840441702158056266400326948645863183399964091

Interesting: out of 31 matrix dependencies, ggnfs split the two factors only three times. Don't get me wrong: I'm always grateful to find a 76-digit factor, no matter how many sqrt's it takes. This may mean that I need to upgrade to the latest snapshot of ggnfs.

I'm working on 4,3,281- (48 hours of ECM @11e6, then SNFS).[/QUOTE]

Nice result.