A075526 a(n) = A008578(n+2) - A008578(n+1).

1, 1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 10, 6, 6, 6, 2, 6, 4, 2, 10, 14, 4, 2, 4, 14, 6, 10, 2, 4, 6, 8, 6, 6, 4, 6, 8, 4, 8, 10, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 12, 8, 4, 8, 4, 6

Offset

0,3

Comments

n appears this number of times in A000720. - Lekraj Beedassy, Jun 19 2006

a(0) = 1, for n >= 1: a(n) = differences between consecutive primes (A001223(n)) = A158611(n+2) - A158611(n+1). Partial sums give A006093 (shifted). - Jaroslav Krizek, Aug 04 2009

First differences of noncomposite numbers. - Juri-Stepan Gerasimov, Feb 17 2010

This is 1 together with A001223. A054541 is 2 together with A001223. A125266 is 3 together with A001223. - Omar E. Pol, Nov 01 2013

Links

Table of n, a(n) for n=0..96.

Formula

a(n) = A001223(n) for n>0.

Mathematica

Prime[Range[100]] // Differences // Prepend[#, 1]& (* Jean-François Alcover, Dec 11 2021 *)

Crossrefs

Cf. A000040, A001223, A075527, A158611.

Sequence in context: A193562 A249868 A255311 * A001223 A118776 A249867

Adjacent sequences: A075523 A075524 A075525 * A075527 A075528 A075529

Keyword

nonn

Author

Reinhard Zumkeller, Sep 22 2002

Extensions

Correction for change of offset in A158611 and A008578 in Aug 2009 Jaroslav Krizek, Jan 27 2010

Status

approved