A068573 a(n) is the smallest positive integer such that no term in S={a(1),...,a(n)}, n>=3, divides the sum of any two other distinct terms of S, after first initializing the sequence with a(1)=3 and a(2)=4.

3, 4, 6, 16, 31, 43, 67, 79, 163, 175, 223, 235, 343, 475, 487, 559, 823, 847, 967, 979, 1027, 1195, 1279, 2455, 2575, 2611, 2899, 3163, 3199, 3511, 3643, 3691, 5383, 5395, 5647, 6499, 7819, 8287, 8479, 8563, 8599, 9007, 9091, 9115, 10483, 11011

Offset

1,1

Links

Table of n, a(n) for n=1..46.

Example

a(3) cannot be 5, since 4 divides 3+5; but a(3)=6 since 3 does not divide 4+6, 4 does not divide 3+6 and 6 does not divide 3+4.

Crossrefs

Sequence in context: A173944 A092933 A122849 * A138577 A298149 A136242

Adjacent sequences: A068570 A068571 A068572 * A068574 A068575 A068576

Keyword

nonn

Author

John W. Layman, Mar 26 2002

Extensions

Corrected by T. D. Noe, Oct 25 2006

Status

approved