A130828 Primes p such that the sum of the digits of p^p is a prime.

5, 11, 19, 29, 37, 43, 89, 97, 113, 139, 269, 311, 337, 359, 367, 433

Offset: 1

Author

J. M. Bergot, Jul 17 2007

Keywords

• nonn
• base
• less

Comments

Computed by Emeric Deutsch.

Examples

			For 5^5 = 625, 6 + 2 + 5 = 13, which is a prime.
		

Crossrefs

Cf. A051674, A066588.

Programs

Maple

sd := proc (n) options operator, arrow: add(convert(n, base, 10)[j], j = 1 .. nops(convert(n, base, 10))) end proc:
a := proc (n) if isprime(sd(ithprime(n)^ithprime(n))) = true then ithprime(n) else end if end proc:
seq(a(n), n = 1 .. 90); # Emeric Deutsch, Jul 19 2007