Suppose g is a primitive root mod p (with p an odd prime) such that g^p-1 =/ 1 mod p+ Prove g must be a primitive root mod p^2 Use this to prove 2 is a primitive root mod 25 Then find all the primitive roots mod 25 (briefly explain)
Suppose g is a primitive root mod p (with p an odd prime) such that g^p-1 =/ 1 mod p+ Prove g must be a primitive root mod p^2 Use this to prove 2 is a primitive root mod 25 Then find all the primitive roots mod 25 (briefly explain)
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 g is a primitive root mod p (with p an odd prime) such that g^p-1 =/ 1 mod p+ Prove g must be a primitive root mod p^2
Use this to prove 2 is a primitive root mod 25
Then find all the primitive roots mod 25 (briefly explain)
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