A075526 - OEIS

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

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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