A307452 Primes p such that the sum of the decimal digits of p^4 is also a prime.

2, 5, 7, 17, 23, 41, 47, 53, 67, 73, 97, 103, 113, 151, 157, 163, 173, 179, 197, 199, 223, 227, 251, 257, 263, 281, 293, 313, 349, 353, 389, 431, 439, 449, 457, 461, 479, 499, 503, 557, 577, 587, 593, 619, 659, 673, 709, 733, 829, 853, 857, 983, 997, 1033

Offset: 1

Author

Salvatore Di Guida, Apr 09 2019

Keywords

• nonn
• base
• easy

Examples

			2^4=16, 1+6=7. 5^4=625, 6+2+5=13. 7^4=2401, 2+4+0+1=7.
		

Crossrefs

Cf. A007953 (sumdigits), A030514 (primes^4).

Programs

Mathematica

Select[Prime@ Range@ 180, PrimeQ@ Total@ IntegerDigits[#^4] &] (* Michael De Vlieger, Jul 08 2019 *)

PARI

isok(p) = isprime(p) && isprime(sumdigits(p^4)); \\ Michel Marcus, Apr 09 2019