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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

Table of n, a(n) for n=1..81.

FORMULA

a(n) = bigomega(p(n+1)-p(n)).

EXAMPLE

p(5)-p(4)=4, bigomega(4)=2.

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 October 22 17:34 EDT 2019. Contains 328319 sequences. (Running on oeis4.)