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A218212
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Number of primes up to 10^n that are the sum of six consecutive squares of nonnegative numbers.
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4
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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
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1,3
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COMMENTS
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These are primes of the form 91 + 42*k + 6*k^2.
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LINKS
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Table of n, a(n) for n=1..21.
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FORMULA
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a(n) = Sum_{k=1..n} A218211(k).
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MATHEMATICA
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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 *)
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CROSSREFS
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Cf. A027866, A027867, A218208, A218210, A218211.
Sequence in context: A296985 A338311 A244714 * A305637 A103779 A049451
Adjacent sequences: A218209 A218210 A218211 * A218213 A218214 A218215
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KEYWORD
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nonn,base,more
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AUTHOR
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Martin Renner, Oct 23 2012
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EXTENSIONS
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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
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STATUS
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approved
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