A218211 Number of n-digit primes that are the sum of six consecutive squares of nonnegative numbers.

0, 0, 4, 10, 15, 49, 147, 407, 1084, 3010, 8756, 25145, 73424, 215375, 631828, 1870092, 5562131, 16584139, 49630873, 148917071, 448088250

Offset

1,3

Comments

These are the primes of the form 91 + 42*k + 6*k^2.

Links

Table of n, a(n) for n=1..21.

Formula

a(n) = A218212(n) - A218212(n-1)

Mathematica

n = 0; Table[cnt = 0; While[n++; p = 91 + 42*n + 6*n^2; p < 10^e, If[PrimeQ[p], cnt++]]; n--; cnt, {e, 14}] (* T. D. Noe, Oct 23 2012 *)

Crossrefs

Cf. A027866, A027867, A218207, A218209, A218212.

Sequence in context: A005662 A337294 A259262 * A302197 A190965 A099457

Adjacent sequences: A218208 A218209 A218210 * A218212 A218213 A218214

Keyword

nonn,base,more

Author

Martin Renner, Oct 23 2012

Extensions

a(13)-a(21) from Chai Wah Wu, Feb 12 2018

a(2) changed back to 0 by Chai Wah Wu and N. J. A. Sloane, Feb 13 2018

Status

approved