Powerful, Power-packed, Power-driven..........Primes!
Number Theory
Level
4
How many prime numbers less than \(100\) are there which can be expressed in the form \(a^{n}+b^{n}\) where \(a,b\) and \(n\) are all natural numbers and \(n≥2\).
Details and Assumptions:
- \(a\) and \(b\) can be non-distinct natural numbers.
- Don't double count the primes.
by
Yash Singhal