OFFSET
0,2
COMMENTS
1
3 5
7 11 13
17 19 23 25
29 31 37 41 43
47 49 53 59 61 67
71 73 79 83 89 97 101
...
2 is the only prime that is not a member. Conjecture: There are finitely many composite terms.
The sequence contains infinitely many composites. Through n rows, there are ~ n^2/2 terms. The number of primes up to (n+1)^2 is ~ n^2/(2 log n), which is eventually quite a bit less. Most products of two nearby primes will be in the sequence. - Franklin T. Adams-Watters, Apr 14 2006
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Amarnath Murthy, Jul 08 2005
EXTENSIONS
Corrected, extended and edited by Franklin T. Adams-Watters, Apr 14 2006
STATUS
approved