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» On the least prime primitive root modulo a prime
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MOC
2002
84views more  MOC 2002»
13 years 10 months ago
On the least prime primitive root modulo a prime
We derive a conditional formula for the natural density E(q) of prime numbers p having its least prime primitive root equal to q, and compare theoretical results with the numerical...
A. Paszkiewicz, Andrzej Schinzel
MOC
2002
104views more  MOC 2002»
13 years 10 months ago
Numerical calculation of the density of prime numbers with a given least primitive root
In this paper the densities D(i) of prime numbers p having the least primitive root g(p) = i, where i is equal to one of the initial positive integers less than 32, have been numer...
A. Paszkiewicz, Andrzej Schinzel
EUROCAL
1987
115views Mathematics» more  EUROCAL 1987»
14 years 2 months ago
Number-theoretic transforms of prescribed length
Abstract. A new constructive method for finding all convenient moduli m for a number-theoretic transform with given length N and given primitive Nth root of unity modulo m is prese...
Reiner Creutzburg, Manfred Tasche
DAM
2000
78views more  DAM 2000»
13 years 10 months ago
On (n, k)-sequences
An (n; k)-sequence has been studied. A permutation a1; a2; : : : ; akn of 0; 1; : : : ; kn - 1 is an (n; k)-sequence if as+d -as at+d -at (mod n) whenever as+d=n = as=n and at+d=...
Hong-Yeop Song, June Bok Lee
PC
1998
132views Management» more  PC 1998»
13 years 10 months ago
Parallel Linear Congruential Generators with Prime Moduli
Linear congruential generators (LCGs) remain the most popular method of pseudorandom number generation on digital computers. Ease of implementation has favored implementing LCGs wi...
Michael Mascagni