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A023514 a(n) = sum of exponents in prime-power factorization of prime(n) + 1. 7
1, 2, 2, 3, 3, 2, 3, 3, 4, 3, 5, 2, 3, 3, 5, 4, 4, 2, 3, 5, 2, 5, 4, 4, 3, 3, 4, 5, 3, 3, 7, 4, 3, 4, 4, 4, 2, 3, 5, 3, 5, 3, 7, 2, 4, 5, 3, 6, 4, 3, 4, 6, 3, 5, 3, 5, 5, 5, 2, 3, 3, 4, 4, 5, 2, 3, 3, 3, 4, 4, 3, 6, 5, 3, 4, 8, 4, 2, 3, 3, 5, 2, 7, 3, 5, 4, 5, 2, 4, 5, 5, 7, 4, 4, 5, 6, 4, 4, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
a(n) = A001222(A000040(n)+1). - Zak Seidov, Jan 04 2016
MAPLE
with(numtheory):
a:= n-> add(i[2], i=ifactors(ithprime(n)+1)[2]):
seq(a(n), n=1..100);
MATHEMATICA
Array[Plus@@Last/@FactorInteger[Prime[ # ]+1]&, 6! ] (* Vladimir Joseph Stephan Orlovsky, Feb 28 2010 *)
PROG
(PARI) a(n) = bigomega(prime(n)+1); \\ Michel Marcus, Jan 04 2016
CROSSREFS
Cf. A210934.
Sequence in context: A110012 A233542 A245908 * A179751 A039645 A317993
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)