login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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 (list; graph; refs; listen; history; text; internal format)
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: A316213 A296985 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 20 07:54 EST 2020. Contains 332069 sequences. (Running on oeis4.)