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A285227 Primes with integer arithmetic mean of digits = 7 in base 10. 6
7, 59, 1999, 3889, 4789, 4969, 4987, 5689, 5779, 5869, 6679, 6949, 6967, 7489, 7669, 7687, 7759, 7867, 7993, 8389, 8677, 8839, 8893, 8929, 9199, 9397, 9649, 9739, 9829, 9883, 9973, 18899, 19889, 19979, 19997, 28979, 29789, 29879, 35999, 36899, 37799, 37889 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

MATHEMATICA

Select[Prime@ Range@ PrimePi@ 40000, Mean@ IntegerDigits@ # == 7 &] (* Michael De Vlieger, Apr 22 2017 *)

PROG

(MAGMA) [n: n in [1..100000] | IsPrime(n) and &+Intseq(n) mod #Intseq(n) eq 0 and &+Intseq(n) / #Intseq(n) eq 7]

CROSSREFS

Primes from A061424. 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), A285225 (k = 4), A285226 (k = 5), this sequence (k = 7), A285228 (k = 8).

Sequence in context: A331709 A203174 A183260 * A063969 A303120 A015570

Adjacent sequences:  A285224 A285225 A285226 * A285228 A285229 A285230

KEYWORD

nonn,base

AUTHOR

Jaroslav Krizek, Apr 19 2017

STATUS

approved

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Last modified August 13 18:00 EDT 2022. Contains 356107 sequences. (Running on oeis4.)