| 单词 | primitive root |
| 释义 | > as lemmasprimitive root primitive root n. Mathematics an integer g that is relatively prime to a given integer n and such that the least power to which g can be raised to yield unity modulo n is the totient of n. ΚΠ 1811 P. Barlow Elem. Investigation Theory Numbers v. 439 When the root r' is such that the terms of the above series leave different remainders, then r' is said to be a primitive root of the equation xn − 1=M(a). 1916 G. A. Miller et al. Theory & Applic. Finite Groups xv. 308 For any prime p, it is shown in the theory of numbers that there exists a primitive root g of p such that 1, g, g2,..gp − 2, when divided by p, give in some order the remainders 1, 2, 3,..p − 1. 1984 A. Baker Conc. Introd. Theory of Numbers iii. 24 For any natural number n, there exists a primitive root (mod n) if and only if n has the form 2, 4, pj or 2pj, where p is an odd prime. < as lemmas |
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