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 A098908 Sorted products of primes (2,3,5,7...) and factorials (1,2,6,24...). 1
 2, 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 17, 18, 19, 22, 23, 26, 29, 30, 31, 34, 37, 38, 41, 42, 43, 46, 47, 48, 53, 58, 59, 61, 62, 66, 67, 71, 72, 73, 74, 78, 79, 82, 83, 86, 89, 94, 97, 101, 102, 103, 106, 107, 109, 113, 114, 118, 120, 122, 127, 131, 134, 137, 138, 139 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Robert Israel, Table of n, a(n) for n = 1..10000 EXAMPLE In the set of products of primes and factorials 10 (= 5 times factorial 2) is the seventh largest number and therefore is the seventh member of the sequence. MAPLE N:= 1000: # to get all terms <= N P:= select(isprime, [2, seq(i, i=3..N, 2)]): F:= 1: v:= 1: for n from 2 do v:= v*n; if v > N then break fi; F:= F, v; od: F:= {F}: sort(convert(select(`<=`, {seq(seq(p*f, f=F), p=P)}, N), list)); # Robert Israel, Aug 27 2018 MATHEMATICA With[{upto=140}, Select[Union[Flatten[Table[p*f, {p, Prime[ Range[ PrimePi[ upto]]]}, {f, Range[10]!}]]], #<=upto&]] (* Harvey P. Dale, Jul 19 2019 *) CROSSREFS Cf. A000040, A000142. Sequence in context: A074946 A279455 A050687 * A097296 A131616 A175857 Adjacent sequences: A098905 A098906 A098907 * A098909 A098910 A098911 KEYWORD nonn AUTHOR Axel Harvey, Oct 15 2004 STATUS approved

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Last modified May 31 19:08 EDT 2023. Contains 363068 sequences. (Running on oeis4.)