A273380 2..a(n) is the smallest range in which the most common value of omega(k) is n, where omega(k) is the number of prime divisors of k (A001221).

2, 46, 22196, 7870163103377

Offset

1,1

Links

Table of n, a(n) for n=1..4.

Example

Among the numbers from 2 to a(2)=46 the most common value of omega is 2. Indeed, there are 21 numbers for which omega is 1 (primes or prime powers) and 22 for which omega is 2.

Mathematica

a[n_] := Block[{c1=0, c2=0, v, k=1}, While[c2<=c1, v=PrimeNu[++k]; If[v == n-1, c1++]; If[v == n, c2++]]; k]; Array[a, 3]

Crossrefs

Cf. A001221, A273381.

Sequence in context: A000191 A000192 A196197 * A124690 A389685 A195877

Adjacent sequences: A273377 A273378 A273379 * A273381 A273382 A273383

Keyword

nonn,more

Author

Giovanni Resta, May 21 2016

Status

approved