login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A090680
Number of primes p such that n < p < n+A033677(n).
0
1, 1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 3, 2, 2, 2, 4, 2, 4, 1, 1, 3, 5, 1, 1, 3, 2, 2, 6, 1, 7, 1, 3, 4, 2, 2, 9, 4, 3, 3, 9, 2, 9, 2, 2, 5, 9, 1, 1, 2, 4, 3, 11, 2, 2, 2, 5, 7, 13, 2, 12, 6, 2, 2, 3, 1, 13, 4, 5, 3, 14, 2, 13, 8, 3, 3, 2, 3, 15, 2, 2, 8, 15, 1, 3, 8, 7, 2, 16, 1, 3, 6, 6, 10, 6, 4, 19, 4, 4, 4, 20, 4, 19, 3, 3, 10, 19, 2, 18, 1, 5, 1, 18, 2, 3, 4, 1, 10, 2, 2, 2, 12, 8, 6, 5, 4, 23, 3, 8, 3, 23, 2, 4, 14
OFFSET
2,6
COMMENTS
Conjecture: no a(n) is zero. Example: n=15: A033677(15) = 5; 2 primes between 15 and 15+5=20 (17 and 19), so a(15) = 2.
CROSSREFS
Cf. A033677.
Sequence in context: A333856 A182972 A153452 * A133771 A352895 A288158
KEYWORD
easy,nonn
AUTHOR
Philippe Deléham, Dec 18 2003
EXTENSIONS
More terms from Benoit Cloitre, Dec 23 2003
STATUS
approved