A285225 Primes with integer arithmetic mean of digits = 4 in base 10.

17, 53, 71, 1069, 1087, 1249, 1429, 1447, 1483, 1609, 1627, 1663, 1753, 1861, 1933, 1951, 2239, 2293, 2347, 2383, 2437, 2473, 2617, 2671, 2707, 2833, 2851, 3049, 3067, 3229, 3319, 3373, 3391, 3463, 3517, 3571, 3607, 3643, 3733, 3823, 3931, 4057, 4093, 4129

Offset: 1

Author

Jaroslav Krizek, Apr 16 2017

Keywords

• nonn
• base

Links

• Jaroslav Krizek, Table of n, a(n) for n = 1..1000

Crossrefs

Primes in A061387. Subsequence of A069709.

Sequences of primes such that a(n) = k for k = 1, 2, 4, 5, 7 and 8: A069710 (k = 1), A285096 (k = 2), this sequence (k = 4), A285226 (k = 5), A285227 (k = 7), A285228 (k = 8).

Programs

Magma

[n: n in [1..100000] | IsPrime(n) and &+Intseq(n) mod #Intseq(n) eq 0 and &+Intseq(n) / #Intseq(n) eq 4];

Mathematica

Select[Prime[Range[600]],Mean[IntegerDigits[#]]==4&] (* Harvey P. Dale, Jun 11 2024 *)