Suppose that an integer a has order 36 modulo p, where p is some prime. Find the smallest integer k such that k > 952 and Type your answer... 1+a+a² + = +a 0 (mod p).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 90E
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Need help with this Intro to Elementary Number Theory Homework Problem.

 

Suppose that an integer a has order 36 modulo p, where p is some prime. Find the smallest integer k such that k > 952 and
1+a+a++a=0 (mod p).
Type your answer...
Transcribed Image Text:Suppose that an integer a has order 36 modulo p, where p is some prime. Find the smallest integer k such that k > 952 and 1+a+a++a=0 (mod p). Type your answer...
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