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A023581 Sum of exponents in prime-power factorization of p(n)+3. 1
1, 2, 3, 2, 2, 4, 3, 2, 2, 5, 2, 4, 3, 2, 3, 4, 2, 6, 3, 2, 3, 2, 2, 3, 4, 4, 2, 3, 5, 3, 3, 2, 4, 2, 4, 3, 6, 2, 3, 5, 3, 4, 2, 4, 5, 2, 2, 2, 3, 4, 3, 3, 3, 2, 4, 3, 5, 2, 5, 3, 3, 4, 3, 2, 3, 7, 2, 4, 4, 6, 3, 2, 3, 4, 2, 2, 5, 6, 3, 3, 2, 4, 3, 3, 3, 2, 3, 4, 5, 2, 3, 2, 4, 3, 2, 3, 9, 3, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A001222(A113935(n)). - Michel Marcus, Sep 30 2013

MATHEMATICA

Table[PrimeOmega[3 + Prime[n]], {n, 1, 100}] (* G. C. Greubel, May 21 2019 *)

PROG

(PARI) a(n) = bigomega(prime(n) + 3); \\ Michel Marcus, Sep 30 2013

(MAGMA) [n eq 1 select 1 else (&+[p[2]: p in Factorization(NthPrime(n) + 3)]): n in [1..100]]; // G. C. Greubel, May 21 2019

(Sage) [sloane.A001222(nth_prime(n)+3) for n in (1..100)] # G. C. Greubel, May 21 2019

CROSSREFS

Sequence in context: A212174 A160558 A241019 * A023574 A210941 A193827

Adjacent sequences:  A023578 A023579 A023580 * A023582 A023583 A023584

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified August 15 01:56 EDT 2020. Contains 336485 sequences. (Running on oeis4.)