

A218212


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


4



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



