A182050 Number of odd primes between successive numbers of the form n*(n+1)^2/2.

0, 3, 5, 6, 9, 10, 14, 18, 21, 23, 28, 32, 35, 43, 45, 51, 58, 55, 71, 72, 79, 84, 92, 95, 107, 117, 116, 119, 146, 134, 159, 156, 162, 178, 189, 196, 202, 214, 217, 240, 238, 250, 264, 278, 276, 296, 308, 324, 327, 332, 357, 369, 372, 395, 395, 416, 441, 429, 451, 466, 480, 501

Offset

1,2

Links

Table of n, a(n) for n=1..62.

Example

There is no odd prime between 0 and 2. There are three odd primes between 2 and 9.

Mathematica

Join[{0}, Differences[PrimePi[Table[n (n + 1)^2/2, {n, 1, 62}]]]] (* T. D. Noe, Apr 09 2012 *)

Crossrefs

Cf. A006002.

Sequence in context: A050083 A081175 A269110 * A094598 A367334 A329003

Adjacent sequences: A182047 A182048 A182049 * A182051 A182052 A182053

Keyword

nonn

Author

Gerasimov Sergey, Apr 08 2012

Status

approved