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Primes with arithmetic mean of digits an integer (sum of digits = a multiple of number of digits).
11

%I #11 Apr 28 2023 19:56:35

%S 2,3,5,7,11,13,17,19,31,37,53,59,71,73,79,97,1021,1061,1069,1087,1151,

%T 1201,1223,1249,1289,1429,1447,1483,1487,1511,1559,1601,1609,1627,

%U 1663,1667,1753,1847,1861,1933,1951,1973,1999,2011,2099,2141,2213,2239,2293

%N Primes with arithmetic mean of digits an integer (sum of digits = a multiple of number of digits).

%H Delbert L. Johnson, <a href="/A069709/b069709.txt">Table of n, a(n) for n = 1..20000</a>

%t Do[p = Prime[n]; If[ IntegerQ[ Apply[ Plus, IntegerDigits[p]] / Floor[ Log[10, p] + 1]], Print[p]], {n, 1, 10^3}]

%t Select[Prime[Range[400]],IntegerQ[Mean[IntegerDigits[#]]]&] (* _Harvey P. Dale_, Jan 29 2012 *)

%Y Cf. A069710, A069711, A069712.

%K nonn,base

%O 1,1

%A _Amarnath Murthy_, Apr 08 2002

%E Edited and extended by _Robert G. Wilson v_, Apr 12 2002