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 A273381 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 factors of k (A001222). 2
 2, 26, 15526, 151165506068 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..4. EXAMPLE Among the numbers from 2 to a(2)=26 the most common value of Omega is 2. Indeed, there are 9 numbers for which Omega is 1 (the primes) and 10 for which Omega is 2 (the semiprimes). MATHEMATICA a[n_] := Block[{c1=0, c2=0, v, k=1}, While[c2<=c1, v=PrimeOmega[++k]; If[v == n-1, c1++]; If[v == n, c2++]]; k]; Array[a, 3] CROSSREFS Cf. A001222, A273380. Sequence in context: A134795 A268667 A330032 * A094680 A259326 A061192 Adjacent sequences: A273378 A273379 A273380 * A273382 A273383 A273384 KEYWORD nonn,more AUTHOR Giovanni Resta, May 21 2016 STATUS approved

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Last modified February 26 02:39 EST 2024. Contains 370335 sequences. (Running on oeis4.)