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A125516 Prime numbers that are the sum of three distinct positive squares. 7
29, 41, 53, 59, 61, 83, 89, 101, 107, 109, 113, 131, 137, 139, 149, 157, 173, 179, 181, 197, 211, 227, 229, 233, 241, 251, 257, 269, 277, 281, 283, 293, 307, 313, 317, 331, 337, 347, 349, 353, 373, 379, 389, 397, 401, 409, 419, 421, 433, 443, 449, 457, 461 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Zak Seidov, Table of n, a(n) for n = 1..1000

EXAMPLE

29 = 2^2 + 3^2 + 4^2 = 4 + 9 + 16.

89 = 2^2 + 6^2 + 7^2 = 4 + 36 + 49; also 89 = 3^2 + 4^2 + 8^2 = 9 + 16 + 64.

353 = 2^2 + 5^2 + 18^2 = 4 + 25 + 324; also 353 = 4^2 + 9^2 + 16^2 = 16 + 81 + 256.

PROG

(PARI) {m=22; p=m^2; v=vector(m, x, x^2); w=[]; for(i=1, m-2, for(j=i+1, m-1, for(k=j+1, m, if((n=v[i]+v[j]+v[k])<p&&isprime(n), w=concat(w, n))))); w=listsort(List(w), 1); for(j=1, #w-1, print1(w[j], ", "))} /* Klaus Brockhaus, Feb 11 2007 */

CROSSREFS

Cf. A088348, A126657, A126658.

Sequence in context: A155575 A229059 A330653 * A068480 A161616 A069454

Adjacent sequences:  A125513 A125514 A125515 * A125517 A125518 A125519

KEYWORD

nonn

AUTHOR

Tomas Xordan, Jan 21 2007

EXTENSIONS

Edited, corrected and extended by Klaus Brockhaus, Feb 11 2007

STATUS

approved

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Last modified June 13 00:04 EDT 2021. Contains 344980 sequences. (Running on oeis4.)