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A285096 Primes with integer arithmetic mean of digits = 2 in base 10. 6
2, 13, 31, 1061, 1151, 1223, 1511, 1601, 2141, 2213, 2411, 3023, 3041, 3203, 3221, 4013, 4211, 5003, 5021, 6011, 6101, 7001, 10009, 10243, 10333, 10513, 10531, 10711, 11071, 11161, 11251, 11503, 11701, 12007, 12043, 12241, 12421, 12511, 12601, 13033, 13411 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

MAPLE

S:= proc(d, k, flag) option remember;

  if d = 1 then

    if k >= 0 and k <= 9 then return [k]

    else return []

    fi

  fi;

  [seq(op(map(`+`, procname(d-1, k-i, 0), i*10^(d-1))), i=flag..min(k, 9))]

end proc:

seq(op(select(isprime, S(d, 2*d, 1))), d=1..5); # Robert Israel, Apr 23 2017

PROG

(MAGMA) [n: n in [1..100000] | IsPrime(n) and &+Intseq(n) mod #Intseq(n) eq 0 and &+Intseq(n) / #Intseq(n) eq 2]

CROSSREFS

Primes in A061385. Subsequence of A069709.

Sequences of primes such that a(n) = k for k = 1, 2, 4, 5, 7 and 8: A069710 (k = 1), this sequence (k = 2), A285225 (k = 4), A285226 (k = 5), A285227 (k = 7), A285228 (k = 8).

Sequence in context: A108660 A107132 A106959 * A177455 A185950 A084828

Adjacent sequences:  A285093 A285094 A285095 * A285097 A285098 A285099

KEYWORD

nonn,base

AUTHOR

Jaroslav Krizek, Apr 16 2017

STATUS

approved

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Last modified March 5 15:57 EST 2021. Contains 341825 sequences. (Running on oeis4.)