A143863 - OEIS

A143863

Primes such that the sum of digits is a perfect power (A001597).

13, 17, 31, 53, 71, 79, 97, 103, 107, 211, 233, 251, 277, 349, 367, 431, 439, 457, 503, 521, 547, 619, 673, 691, 701, 709, 727, 853, 907, 997, 1021, 1061, 1069, 1087, 1151, 1201, 1223, 1249, 1429, 1447, 1483, 1511, 1601, 1609, 1627, 1663, 1699, 1753, 1789

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

FORMULA

Union of A062339, A062343, A106757, A106768, A107618 etc. [From R. J. Mathar, Sep 13 2008]

MATHEMATICA

Select[Prime[Range[300]], GCD@@FactorInteger[Total[IntegerDigits[#]]][[;; , 2]]>1&] (* Harvey P. Dale, Sep 18 2023 *)

CROSSREFS

Cf. A062338.

Sequence in context: A138535 A116671 A062338 * A158571 A176882 A272403