Originally Posted by davar55
Another possibly interesting variation:
2^2 + 3^3 + 5^5 + ... + p^p = 10^{m}K
What is the smallest prime p such that
the sum of squares of all primes up to p
is a multiple of 10 (or 100 or 1000 and so on).
(I think somewhere in these series we'll get
numeric pointers to empirical evidence
connecting some number theoretical conjectures.)
