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 A106149 Number of prime factors with multiplicity of the difference between consecutive primes. 0
 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 3, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 3, 3, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 3, 2, 3, 2, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 LINKS FORMULA a(n) = bigomega(p(n+1)-p(n)). EXAMPLE p(5)-p(4)=4, bigomega(4)=2. MATHEMATICA PrimeOmega/@Differences[Prime[Range[100]]] (* Harvey P. Dale, Mar 16 2020 *) PROG (PARI) a(n) = bigomega(prime(n+1) - prime(n)); \\ Michel Marcus, Aug 26 2013 CROSSREFS Cf. A001222, A001223. Sequence in context: A270641 A076371 A175044 * A253607 A212179 A257023 Adjacent sequences:  A106146 A106147 A106148 * A106150 A106151 A106152 KEYWORD easy,nonn AUTHOR Paul Finley (pfinley(AT)touro.edu), Sep 11 2007 STATUS approved

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Last modified January 25 17:26 EST 2021. Contains 340419 sequences. (Running on oeis4.)