Problems & Puzzles:
Σ(x^x), for x=1 to n
Let's call S(n)=
Σ(x^x), for x=1 to n.
It's known than
S(n) is prime for n=2,
5, 6, 10 & 30. See
Question: Find larger n values that
make S(n) prime.
Contributions came from J. K. Andersen & Shyam Sunder Gupta.
"PrimeForm/GW found no other primes for n < 28000."
"There are no more primes up to 8776 term. Any additional terms
are greater than 8776 with the next prime having more than 34607
Considering prime number theorem, percentage of primes in the range
of 10^34606 is very small, so probability of finding a prime is