Given that n is a positive prime number. Determine analytically all possible n such that 2ⁿ + n² is a prime number.

All odd numbers n. Because for a given odd number n, 2^n will be a number which either ends in 8 or 2. and then n^2 ends in 9 or 7 respectively. So the number ends with 7 no matter what is the value of odd n.

I will attempt this again tommorrow, when I wake up.

Posted by elementofsurprize on 2007-01-06 14:42:54