Answer to Question #97720 in Combinatorics | Number Theory for akash kumar

Question #97720
Find all positive integers n such that n^4-1 is divisible by 5.
1
Expert's answer
2019-10-31T10:35:25-0400

Fermat's little theorem: If a is not divisible by p, Fermat's little theorem is equivalent to the statement that "a^{p-1}-1" is an integer multiple of p, or in symbols:

"a^{p-1}\\equiv 1 \\mod p"

so, "p=5, \\,a=n" and "n=1,2,3\\, \\text{or}\\, 4 \\mod 5"


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS