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Forum: NFSNET Discussion 2005-05-13, 10:56
Replies: 20
Views: 14,928
Posted By R.D. Silverman
Thumbs up They would be roughly equivalent. However, the...

They would be roughly equivalent. However, the cyclotomic poly would
have a higher density of small primes that split completely. This would
make norms slightly more likely to be smooth.
Forum: NFSNET Discussion 2005-05-12, 19:53
Replies: 20
Views: 14,928
Posted By R.D. Silverman
2^760 + 1 = x^5 + 1 with x = 2^152. But x^5+1...

2^760 + 1 = x^5 + 1 with x = 2^152. But x^5+1 =
(x+1)(x^4-x^3+x^2-x+1)

So just use x - M and x^4-x^3+x^2-x+1 with M = 2^152

It is best NOT to convert the reciprocal quartiic into a...
Forum: NFSNET Discussion 2005-05-12, 02:02
Replies: 20
Views: 14,928
Posted By R.D. Silverman
Question Actually, the *really* interesting question is...

Actually, the *really* interesting question is whether the number would be
faster with SNFS or GNFS. SNFS lets us take advantage of the algebraic
factor 2^152+1, but requires a quartic, which is...
Forum: NFSNET Discussion 2005-04-14, 17:49
Replies: 20
Views: 14,928
Posted By R.D. Silverman
Thumbs up I am all for that!!!! :banana: :bounce:

I am all for that!!!! :banana: :bounce:
Forum: NFSNET Discussion 2005-04-14, 15:15
Replies: 20
Views: 14,928
Posted By R.D. Silverman
Question What's next?

Hi,

What's next after 11,212+? May I suggest 7,253- and 11,217-? (both easy)
7,253- has been among the first 5 holes in any table for the longest period
of time. It first appeared as a 5th...
Showing results 1 to 5 of 5

 
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