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A126657 Prime numbers that are the sum of three distinct positive fourth powers. 8
353, 1553, 5393, 6833, 7187, 7793, 7873, 8963, 9043, 9587, 10337, 11953, 13697, 14177, 14723, 16193, 17123, 20753, 21283, 21377, 21617, 23603, 25457, 28643, 29873, 30113, 30817, 31393, 35393, 35747, 39857, 43283, 45233, 45377, 46273 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
EXAMPLE
1553= 1^4 + 4^4 + 6^4 = 1 + 256 + 1296.
6833 = 2^4 + 4^4 + 9^4 = 16 + 256 + 6561.
21377 = 2^4 + 5^4 + 12^4 = 16 + 625 + 20736.
35747 = 5^4 + 9^4 + 13^4 = 625 + 6561 + 28561.
MATHEMATICA
Union[Select[Total/@Subsets[Range[20]^4, {3}], PrimeQ]] (* Harvey P. Dale, May 08 2012 *)
PROG
(PARI) {m=15; p=m^4; v=vector(m, x, x^4); 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
Sequence in context: A265449 A142785 A259958 * A122718 A300364 A098678
KEYWORD
nonn
AUTHOR
Tomas Xordan, Feb 09 2007
EXTENSIONS
Edited, corrected and extended by Klaus Brockhaus, Feb 11 2007
STATUS
approved

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Last modified June 19 17:11 EDT 2024. Contains 373504 sequences. (Running on oeis4.)