|
| |
|
|
A113729
|
|
a(n) is the integer between p(n) and p(n+3) which is divisible by (p(n+3)-p(n)), where p(n) is the n-th prime.
|
|
1
| |
|
|
5, 8, 8, 10, 16, 20, 24, 24, 28, 36, 36, 40, 48, 48, 56, 56, 60, 72, 72, 72, 80, 90, 90, 98, 100, 104, 110, 120, 110, 120, 132, 144, 140, 144, 154, 160, 160, 176, 168, 180, 182, 192, 192, 198, 208, 224, 216, 230, 228, 240, 234, 252, 242, 252, 266, 266, 276, 276
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Exactly one integer exists between each p(n+3) and p(n) which is divisible by (p(n+3)-p(n)).
|
|
|
FORMULA
| a(n)=p(n+3) - (p(n) (mod p(n+3)-p(n))).
|
|
|
EXAMPLE
| Between the primes 19 and 31 is the composite 24 and 24 is divisible by (31-19)=12. So 24 is in the sequence.
|
|
|
MATHEMATICA
| f[n_] := Block[{p = Prime[n], q = Prime[n + 3]}, q - Mod[p, q - p]]; Table[ f[n], {n, 58}] (* Robert G. Wilson v *)
|
|
|
CROSSREFS
| Cf. A113709, A113728.
Sequence in context: A073822 A198606 A031165 * A097523 A197815 A021633
Adjacent sequences: A113726 A113727 A113728 * A113730 A113731 A113732
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Leroy Quet Nov 08 2005
|
|
|
EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 09 2005
|
| |
|
|
