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 Showing results 1 to 5 of 5 Search took 0.00 seconds. Search: Posts Made By: R.D. Silverman
 Forum: NFSNET Discussion 2005-05-13, 10:56 Replies: 20 Views: 14,928 Posted By R.D. Silverman 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 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 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 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...
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