59 is the only known multidigit number n such
that sigma(n^n)+n is prime.
Next such number (if it exists) is greater
than 6000 and the prime related to it, has more than 22500
1, 3 & 5 are all other known numbers n with
the mentioned property.
Q1. What the prime related
to n=59 in sigma(n^n)+n is?
Q2. What is the next term
on 1, 3, 5, 59, ... ?