hallo to all, n^n is interprime for n=2, 6, and 9: 2 is a member because 2^2 = 4 as average of two subsequent primes 3 and 5, 6 is a member because 6^6 = 46656 is average of two subsequent primes 6^6 -/+ 7, 9 is a member because 9^9 = 387420489 is average of two subsequent primes 9^9 -/+ 10. Can anybody find next term(s)? thanks, zak