Intro to Elementary Number Theory Homework Problems. Suppose that an integer a has order 33 modulo p, where p is some prime. Find the smallest integer k such that k > 953 and1+a+a²++a 0 (mod p).=Type your answer... Let n 1312208and determine the total number of solutions modulo n to2.30=1 (mod n)and enter it below. (Note that 131 is prime. Hint: consider expressing as a power of a primitive root modulo n.)Type your answer...

Given that an integer a has order 33 modulo p, where p is prime.This can be written as a33≡1(mod p),…

Answered: Suppose that an integer a has order 33…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose that an integer a has order 33 modulo p, where p is some prime. Find the smallest integer k such that k > 953 and 1+a+a²++ a = 0 (mod p).