A242825 Minimum positive value of n^3 - x^3 - y^3 for positive integers x,y

6, 11, 10, 34, 27, 2, 44, 1, 55, 90, 54, 126, 16, 119, 21, 88, 8, 19, 141, 54, 56, 71, 106, 64, 69, 27, 72, 55, 135, 47, 168, 161, 137, 79, 64, 309, 123, 332, 307, 8, 254, 83, 448, 109, 27, 519, 567, 2, 259, 107, 225, 269, 216, 118, 90, 316, 164, 503, 1015, 333, 181, 47, 857, 6, 704, 63, 385, 253, 343, 604, 457, 144

Offset

2,1

Comments

The case p=3 of Fermat's Last Theorem says there is no positive integer solution to n^3 - x^3 - y^3 = 0.

Links

Robert Israel, Table of n, a(n) for n = 2..10000

Example

a(7) = 2 because 7^3 - 5^3 - 6^3 = 2 and there is no solution to 0 <= 7^3 - x^3 - y^3 <= 1

Maple

N:= 1000: # to get up to a(N)
C:= convert({seq(seq(x^3 + y^3, x = 1 .. y), y = 1 .. N)}, list):
for i from 2 to N do
  a[i]:= i^3 - C[ListTools:-BinaryPlace(C, i^3)]
od:
seq(a[i], i=2..N); # Robert Israel, May 26 2014

Crossrefs

Sequence in context: A134012 A103704 A135998 * A358068 A276136 A152089

Adjacent sequences: A242822 A242823 A242824 * A242826 A242827 A242828

Keyword

nonn

Author

Robert Israel, May 26 2014

Status

approved