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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
OFFSET
1,3
COMMENTS
These are primes of the form 91 + 42*k + 6*k^2.
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
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