Search found 3 matches
- Sat May 15, 2021 9:05 am
- Forum: Number Theory
- Topic: DIO Equation :D
- Replies: 1
- Views: 12583
DIO Equation :D
Find all positive integers m and n such that, $2^n+n=m!$
- Mon Feb 15, 2021 12:38 am
- Forum: Number Theory
- Topic: Find all non negative integer (a,b) such that.....
- Replies: 2
- Views: 5971
Find all non negative integer (a,b) such that.....
Find all non negative integers $(a,b)$ such that, $3^a +7^b$ is a perfect square.
Source: Canada Mathematical Olympiad 2009, p4.
Source: Canada Mathematical Olympiad 2009, p4.
- Fri Feb 12, 2021 4:59 pm
- Forum: Number Theory
- Topic: Existence of a prime factor>p
- Replies: 4
- Views: 6286
Existence of a prime factor>p
Prove that if $p$ is a prime, then $p^p-1$ has a prime factor, greater than $p.$