A377723 Contribution to the OEIS

 A377723

Numbers whose number of prime factors (counted with repetition) is greater than or equal to its smallest prime factor.

0

4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 27, 28, 30, 32, 34, 36, 38, 40, 42, 44, 45, 46, 48, 50, 52, 54, 56, 58, 60, 62, 63, 64, 66, 68, 70, 72, 74, 75, 76, 78, 80, 81, 82, 84, 86, 88, 90, 92, 94, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 112, 114, 116

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OFFSET

1,1

COMMENTS

Numbers k such that A001222(k) >= A020639(k).

Complement of A091377.

A091371(a(n)) < 1: A001222(a(n)) => A020639(a(n)).

LINKS

James C. McMahon, Table of n, a(n) for n = 1..10000

EXAMPLE

4 is a term because bigomega(4) = spf(4) = 2.

12 is a term because bigomega(12) = 3 > spf(12) = 2.

3 is not a term because bigomega(3) = 1 < spf(3) = 3.

MATHEMATICA

Select[Range[116], PrimeOmega[#]>=FactorInteger[#][[1, 1]]&]

CROSSREFS

Cf. A001222, A020639, A091371, A091375, A091376, A091377.

Sequence in context: A330948 A324705 A032583 * A175074 A063127 A272651

Adjacent sequences: A377720 A377721 A377722 * A377724 A377725 A377726

KEYWORD

nonn,new

AUTHOR

James C. McMahon, Dec 28 2024

STATUS

approved