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Old 2005-08-26, 13:29   #10
Aug 2005

2×3 Posts

Originally Posted by R.D. Silverman
(1) Such norms are extremely rare; They are so extremely rare that they are
not worth worrying about. When a prime in the factor base, other than
the smallest primes (say those less than 10000), divides a norm it
almost always does so to the first power.

(2) Your "pseudo smooth" relation will be found anyway if u is below the large
prime bound. But they are not worth looking for.
Sure they are rare in Z, but they come at very reasonable price in Zn *if they can be used at all*.
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