A077743 Smallest cube ending in n, or 0 if no such cube exists.

1, 512, 343, 64, 125, 216, 27, 8, 729, 0, 357911, 512, 4913, 0, 0, 216, 389017, 0, 59319, 0, 68921, 0, 103823, 13824, 125, 0, 27, 1728, 729, 0, 1331, 5832, 456533, 0, 0, 97336, 35937, 0, 493039, 0, 531441, 0, 343, 2744, 0, 0, 250047, 10648, 117649, 0, 132651

Offset: 1

Author

Amarnath Murthy, Nov 20 2002

Keywords

• base
• nonn

Examples

			a(1) = 4913 = 17^3, a(10) = 0.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000578, A077744, A246449.

Programs

Maple

f:= proc(n) local m,r,x;
  m:= 10^(ilog10(n)+1);
  r:= [msolve(x^3=n,m)];
  if r = [] then 0 else min(map(t -> rhs(op(t)),r))^3 fi
end proc:
map(f, [$1..100]); # Robert Israel, Mar 05 2023

Formula

a(m*10^(3k+1)) = a(m*10^(3k+2)) = 0.

Extensions

More terms from Sascha Kurz, Jan 07 2003