A084856 a(n) = prime(n+2)^2 - prime(n)^2.

21, 40, 96, 120, 168, 192, 240, 480, 432, 528, 720, 480, 528, 960, 1272, 912, 1008, 1320, 840, 1200, 1560, 1680, 2520, 2280, 1200, 1248, 1272, 1320, 4248, 4392, 2640, 2160, 3432, 3480, 2448, 3768, 3240, 3360, 4152, 2832, 4440, 4488, 2328, 2352, 5712

Offset

1,1

Comments

Except for the first two terms, these numbers are divisible by 24.

Links

Table of n, a(n) for n=1..45.

Formula

a(n) = A001248(n+2) - A001248(n).

a(n) = A069482(n+1) + A069482(n).

a(n) = 24 * (A024702(n+2) - A024702(n)) for n>=3.

Example

a(3) = prime(5)^2 - prime(3)^2 = 11^2 - 5^2 = 96.

Mathematica

Table[ Prime[n + 2]^2 - Prime[n]^2, {n, 1, 45}]

Crossrefs

Cf. A000040, A001248, A024702, A069482.

Sequence in context: A270667 A020220 A251122 * A070666 A320775 A104393

Adjacent sequences: A084853 A084854 A084855 * A084857 A084858 A084859

Keyword

nonn

Author

Meir Avshalomi (amomy(AT)yahoo.com), Jul 13 2003

Extensions

Edited and extended by Robert G. Wilson v, Jul 19 2003

Status

approved