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
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
KEYWORD
nonn
AUTHOR
Lekraj Beedassy, Jul 16 2006
EXTENSIONS
Corrected by R. J. Mathar, Nov 25 2006
STATUS
approved