(g) There are exactly six prime numbers p with the property that x81 = x (mod p) for every integer x. List them here:
(g) There are exactly six prime numbers p with the property that x81 = x (mod p) for every integer x. List them here:
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 30E: 30. Prove statement of Theorem : for all integers .
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