A099798 a(n) is taken to be the smallest positive integer greater than a(n-1) which is consistent with the condition "n is a member of the sequence if and only if a(n) is not composite".
1, 2, 3, 6, 8, 11, 12, 13, 14, 15, 17, 19, 23, 29, 31, 32, 37, 38, 41, 42, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 59, 61, 62, 63, 64, 65, 67, 71, 72, 74, 79, 83, 84, 89, 97, 98, 101, 103, 107, 109, 113, 127, 131, 137, 138, 140, 141, 142, 149, 150, 151, 157, 163, 167
Offset: 1
Keywords
Examples
a(4) cannot be 4 because 4 is composite; it cannot be 5, for then 4 is not in the sequence while a(4) is not composite; but 6 is possible.
Links
- B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence, J. Integer Seqs., Vol. 6 (2003), #03.2.2.
- B. Cloitre, N. J. A. Sloane and M. J. Vandermast, Numerical analogues of Aronson's sequence (math.NT/0305308)