# 205081

This number is a prime.

(7, 11, 13, 17, 19, 23) is the only set of six consecutive primes p, p_{i} < 100, such that the average of every two consecutive 4th powers of them is prime. The largest such average is 205081 = (19^4+23^4)/2. [Loungrides]

Printed from the PrimePages <t5k.org> © G. L. Honaker and Chris K. Caldwell