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 A120930 Least x satisfying n^3 + x^3 + y^3 = z^3, where (n,x,y,z),n
 6, 17, 4, 17, 76, 32, 14, 209, 55, 261, 15, 19, 51, 23, 42, 23, 40, 19, 53, 54, 43, 51, 81, 159, 31, 55, 30, 53, 34, 266, 33, 54, 70, 39, 77, 38, 174, 43, 146, 141, 114, 83, 230, 51, 53, 47, 75, 85, 80, 61, 82, 321, 58, 80, 113, 61, 68, 59, 93, 342, 90, 183, 228, 75, 87, 97 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS There are a few small cases where the least x needs y>1000, e.g. 8^3+209^3+1744^3=1745^3. The S. Dutch link has a few nonprimitive quartets which have to be excluded for this sequence, e.g. 37^3+222^3+296^3=333^3. - Martin Fuller, Aug 11 2006 LINKS S. Dutch, Cubic Quartets With a,b,c<1000 PROG (PARI) A(n)=local(x, y, z); x=n+1; while(1, y=x+1; while(n^3+x^3+y^3>=(y+1)^3, if(ispower(n^3+x^3+y^3, 3, &z) && (gcd([n, x, y, z])==1), return(x)); y++; ); x++; ); \\ Martin Fuller, Aug 11 2006 CROSSREFS Cf. A120931, A120932. Sequence in context: A022510 A065776 A323516 * A070395 A200871 A112366 Adjacent sequences:  A120927 A120928 A120929 * A120931 A120932 A120933 KEYWORD nonn AUTHOR Lekraj Beedassy, Jul 16 2006 EXTENSIONS Corrected by R. J. Mathar, Nov 25 2006 STATUS approved

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Last modified October 23 22:52 EDT 2019. Contains 328378 sequences. (Running on oeis4.)