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 A075526 a(n) = A008578(n+2) - A008578(n+1). 13
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified June 1 17:00 EDT 2023. Contains 363076 sequences. (Running on oeis4.)