Show that (a + p)P = a (mod p2), where p is prime, and that, more generally, a = b (mod p) ⇒a= b (mod p²).
Show that (a + p)P = a (mod p2), where p is prime, and that, more generally, a = b (mod p) ⇒a= b (mod p²).
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 37E
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![Show that (a + p)P = aP (mod p2), where p is prime, and that, more generally,
a = b (mod p) ⇒a= b
(mod p²).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feabade52-5174-4cc3-8205-365538407c90%2Fb1365ff3-de71-4b26-8244-1c06aba58825%2F89imh5c_processed.png&w=3840&q=75)
Transcribed Image Text:Show that (a + p)P = aP (mod p2), where p is prime, and that, more generally,
a = b (mod p) ⇒a= b
(mod p²).
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