I've started looking at at n^a + (n+1)^b, where a,b <= n+1 .

It generates a reasonable number of primes. I'll be examining for any

patterns in prime generation and will let you know of any earth

shattering findings.

But one thing right off that bat which I find somewhat intriguing is

this special case:

n^n + (n+1)^(n+1)

Examples:

1^1 + 2^2 = 5 (prime)

2^2 + 3^3 = 31 (prime)

3^3 + 4^4 = 283 (prime)

Seems like it could produce a good amount of primes at this rate. But

in what appears to be an odds defying feat, no more primes turn up

for any n up to 500. Perhaps there are no more, for *some* reason.

Mark