A217443 Primes p such that p^2 is an arithmetic average of 4 consecutive primes.

3, 179, 443, 487, 523, 1237, 1481, 1571, 1933, 2293, 2801, 3307, 3863, 4073, 4493, 4787, 4909, 5399, 5683, 5693, 6427, 7433, 7789, 9067, 9623, 10607, 10883, 11437, 11497, 11579, 12149, 12263, 12553, 13337, 13669, 13841, 14071, 14723, 14741, 15569, 15901, 16381

Offset

1,1

Comments

2*p is a term of A051395: 2*3 = A051395(1), 2*179 = A051395(10), 2*443 = A051395(22).

Links

Table of n, a(n) for n=1..42.

Example

3^2 = (5+7+11+13)/4, 179^2 = (32027+32029+32051+32057)/4.

Mathematica

Select[Sqrt[Mean[#]]&/@Partition[Prime[Range[147*10^5]], 4, 1], PrimeQ] (* Harvey P. Dale, Jul 27 2019 *)

Crossrefs

Cf. A051395.

Sequence in context: A091324 A198446 A216967 * A270245 A093434 A053291

Adjacent sequences: A217440 A217441 A217442 * A217444 A217445 A217446

Keyword

nonn

Author

Zak Seidov, Oct 03 2012

Status

approved