A135732 -id:A135732 - cp's OEIS frontend

A176246 a(n) = A001223(n+1) - 1.

1, 1, 3, 1, 3, 1, 3, 5, 1, 5, 3, 1, 3, 5, 5, 1, 5, 3, 1, 5, 3, 5, 7, 3, 1, 3, 1, 3, 13, 3, 5, 1, 9, 1, 5, 5, 3, 5, 5, 1, 9, 1, 3, 1, 11, 11, 3, 1, 3, 5, 1, 9, 5, 5, 5, 1, 5, 3, 1, 9, 13, 3, 1, 3, 13, 5, 9, 1, 3, 5, 7, 5, 5, 3, 5, 7, 3, 7, 9, 1, 9, 1, 5, 3, 5, 7, 3, 1, 3, 11, 7, 3, 7

Offset: 1

Edmund Algeo, Apr 13 2010

Previous name was: Numbers which added to an odd prime plus one, yield the next prime in the series for primes.

Essentially a duplicate of A046933 and A135732. - T. D. Noe, Oct 23 2013

Cf. A046933 (number of composites between successive primes).

Differences[Prime[Range[2, 100]]] - 1 (* Paolo Xausa, Jul 02 2025 *)

a(n) = A001223(n+1) - 1. - Michel Marcus, Jun 08 2013

New name using formula from Michel Marcus, Joerg Arndt, Oct 22 2013

A135731 a(1) = 3; thereafter a(n+1) = a(n) + nextprime(a(n)) - prevprime(a(n)).

Original entry on oeis.org

3, 6, 8, 12, 14, 18, 20, 24, 30, 32, 38, 42, 44, 48, 54, 60, 62, 68, 72, 74, 80, 84, 90, 98, 102, 104, 108, 110, 114, 128, 132, 138, 140, 150, 152, 158, 164, 168, 174, 180, 182, 192, 194, 198, 200, 212, 224, 228, 230, 234, 240, 242, 252, 258, 264, 270, 272, 278

Offset: 1

Enoch Haga, Nov 26 2007

Essentially the same as A008864. [From R. J. Mathar, Oct 28 2008]

Only the first term is prime, the rest are even, and between any pair of adjacent terms a(n) and a(n+1), there is just one prime, namely prime(n+2). - David James Sycamore, Dec 07 2018

			a(1) = 3, so a(2) = 3 + (5-2)  = 6,
a(3) = 6 + (7-5) = 8,
a(4) = 8 + (11-7) = 12; etc.

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A001223, A008864, A135732.

NestList[#+NextPrime[#]-NextPrime[#,-1]&,3,60] (* Harvey P. Dale, Oct 13 2024 *)

a(n+1) = a(n) + A001223(n+1) for n>1. - David James Sycamore, Dec 07 2018

Definition corrected and entry revised by David James Sycamore, Dec 07 2018

cp's OEIS Frontend

A176246 a(n) = A001223(n+1) - 1.

Views

Author

Keywords

Comments

Crossrefs

Programs

Mathematica

Formula

Extensions