A107581 Numbers n such that (n + prime(n)), (n+1 + prime(n+1)) and (n+2 + prime(n+2)) are divisible by 5.

62, 136, 146, 162, 401, 526, 532, 641, 687, 986, 1022, 1132, 1421, 1551, 1856, 2197, 2481, 2597, 2611, 2687, 2722, 2757, 3457, 3467, 3792, 4026, 4281, 4911, 4962, 4972, 5001, 5232, 5236, 5277, 5317, 5517, 5706, 5786, 6012, 6171, 6291, 6292, 6416, 6527

Offset

1,1

Comments

For some values of n, e.g., 6291, 6816, 9951, 11371, also (n+3 + prime(n+3)) is divisible by 5.

Links

Table of n, a(n) for n=1..44.

Mathematica

Select[Range[20000], Mod[Prime[ # ]+#, 5]+Mod[Prime[ #+1]+#+1, 5]+Mod[Prime[ #+2]+#+2, 5]==0&]

Crossrefs

Sequence in context: A044630 A103584 A296026 * A259738 A367092 A044313

Adjacent sequences: A107578 A107579 A107580 * A107582 A107583 A107584

Keyword

easy,nonn

Author

Zak Seidov, Jun 10 2005

Status

approved