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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 Table of n, a(n) for n=1..35. 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])

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