A218212 Number of primes up to 10^n that are the sum of six consecutive squares of nonnegative numbers.

0, 0, 4, 14, 29, 78, 225, 632, 1716, 4726, 13482, 38627, 112051, 327426, 959254, 2829346, 8391477, 24975616, 74606489, 223523560, 671611810

Offset

1,3

Comments

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

Links

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

Formula

a(n) = Sum_{k=1..n} A218211(k).

Mathematica

n = 0; cnt = 0; Table[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, edited by Michael De Vlieger, Feb 18 2018 *)

Crossrefs

Cf. A027866, A027867, A218208, A218210, A218211.

Sequence in context: A296985 A338311 A244714 * A305637 A103779 A049451

Adjacent sequences: A218209 A218210 A218211 * A218213 A218214 A218215

Keyword

nonn,base,more

Author

Martin Renner, Oct 23 2012

Extensions

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

Changed terms (as A218211(2) is reverted back to 0) by Chai Wah Wu, Feb 13 2018

Status

approved