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A096699

Balanced primes of order seven.

29, 977, 1381, 1439, 3109, 3539, 4357, 4397, 5563, 7159, 8273, 8737, 10711, 11117, 13109, 13841, 15101, 18731, 18839, 20543, 21391, 21851, 23459, 24877, 27653, 28477, 28697, 30677, 32029, 32971, 34631, 35863, 36979, 37019, 37529, 38189

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OFFSET

1,1

LINKS

Aaron Toponce, Table of n, a(n) for n = 1..1000

EXAMPLE

29 is a member because 29 = (5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59)/15.

MATHEMATICA

Transpose[ Select[ Partition[ Prime[ Range[5000]], 15, 1], #[[8]] == (#[[1]] + #[[2]] + #[[3]] + #[[4]] + #[[5]] + #[[6]] + #[[7]] + #[[9]] + #[[10]] + #[[11]] + #[[12]] + #[[13]] + #[[14]] + #[[15]])/14 &]][[8]]

(* Alternative: *)

With[{k = 7}, Select[MapIndexed[{Prime[First@ #2 + k], #1} &, Mean /@ Partition[Prime@ Range[5000], 2 k + 1, 1]], SameQ @@ # &][[All, 1]]] (* Michael De Vlieger, Feb 15 2018 *)

PROG

(GAP) P:=Filtered([1..70000], IsPrime);;

a:=List(Filtered(List([0..5000], k->List([8..22], j->P[j-7+k])), i->

Sum(i)/15=i[8]), m->m[8]); # Muniru A Asiru, Feb 14 2018

(PARI) isok(p) = {if (isprime(p), k = primepi(p); if (k > 7, sum(i=k-7, k+7, prime(i)) == 15*p; ); ); } \\ Michel Marcus, Mar 07 2018

CROSSREFS

Cf. A096693, A006562, A082077, A082078, A082079, A096697, A096698, A096700, A096701, A096702, A096703, A096704.

Sequence in context: A387849 A167738 A107964 * A316708 A218807 A218193

Adjacent sequences: A096696 A096697 A096698 * A096700 A096701 A096702

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Jun 26 2004

STATUS

approved

URL: https://oeis.org/A096699

⇱ A096699 - OEIS