A074592 -id:A074592 - cp's OEIS frontend

A074593 Largest prime factors of numbers that are not prime powers.

3, 5, 3, 7, 5, 3, 5, 7, 11, 3, 13, 7, 5, 11, 17, 7, 3, 19, 13, 5, 7, 11, 5, 23, 3, 5, 17, 13, 3, 11, 7, 19, 29, 5, 31, 7, 13, 11, 17, 23, 7, 3, 37, 5, 19, 11, 13, 5, 41, 7, 17, 43, 29, 11, 5, 13, 23, 31, 47, 19, 3, 7, 11, 5, 17, 13, 7, 53, 3, 11, 37, 7, 19, 23, 29, 13, 59, 17, 5, 61

Offset: 1

Reinhard Zumkeller, Aug 25 2002

nonn

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A006530, A024619, A074592, A074594, A074595.

s[n_] := Module[{f = FactorInteger[n]}, If[Length[f] > 1, f[[-1, 1]], Nothing]]; Array[s, 200] (* Amiram Eldar, Oct 10 2024 *)

a(n) = A006530(A024619(n)).

A074594 Number of distinct prime factors of numbers that are not prime powers.

Original entry on oeis.org

2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 2, 3, 2, 2, 3, 2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 3, 2

Offset: 1

Reinhard Zumkeller, Aug 25 2002

nonn

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A074595, A074592, A074593.

PrimeNu/@Select[Range[2,300],!PrimePowerQ[#]&] (* Harvey P. Dale, Nov 18 2018 *)

a(n) = A001221(A024619(n)).

A074595 Number of prime factors of numbers that are not prime powers (with multiplicity).

Original entry on oeis.org

2, 2, 3, 2, 2, 3, 3, 2, 2, 4, 2, 3, 3, 2, 2, 2, 4, 2, 2, 4, 3, 3, 3, 2, 5, 3, 2, 3, 4, 2, 4, 2, 2, 4, 2, 3, 2, 3, 3, 2, 3, 5, 2, 3, 3, 2, 3, 5, 2, 4, 2, 2, 2, 4, 4, 2, 3, 2, 2, 2, 6, 3, 3, 4, 3, 4, 3, 2, 5, 3, 2, 5, 3, 2, 3, 3, 2, 2, 5, 2, 2, 3, 4, 2, 3, 4, 2, 2, 4, 4, 3, 4, 2, 2, 2, 6, 2, 2, 3, 3, 4, 4, 3, 3, 2

Offset: 1

Reinhard Zumkeller, Aug 25 2002

nonn

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A001222, A024619, A074594, A074592, A074593.

s[n_] := Module[{f = FactorInteger[n]}, If[Length[f] > 1, Total[f[[;; , 2]]], Nothing]]; Array[s, 200] (* Amiram Eldar, Oct 10 2024 *)

a(n) = A001222(A024619(n)).

cp's OEIS Frontend

A074593 Largest prime factors of numbers that are not prime powers.

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A074594 Number of distinct prime factors of numbers that are not prime powers.

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Author

Keywords

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Programs

Mathematica

Formula

A074595 Number of prime factors of numbers that are not prime powers (with multiplicity).

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