A073492 Numbers having at least one prime gap in their factorization.

10, 14, 20, 21, 22, 26, 28, 33, 34, 38, 39, 40, 42, 44, 46, 50, 51, 52, 55, 56, 57, 58, 62, 63, 65, 66, 68, 69, 70, 74, 76, 78, 80, 82, 84, 85, 86, 87, 88, 91, 92, 93, 94, 95, 98, 99, 100, 102, 104, 106, 110, 111, 112, 114, 115, 116, 117, 118, 119, 122, 123, 124, 126

Offset

1,1

Comments

A073490(a(n)) > 0.

A137794(a(n))=0, complement of A073491. - Reinhard Zumkeller, Feb 11 2008

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Mathematica

pa[n_, k_] := If[k == NextPrime[n], 0, 1]; Select[Range[126], Total[pa @@@ Partition[First /@ FactorInteger[#], 2, 1]] > 0 &] (* Jayanta Basu, Jul 01 2013 *)

Prog

(Haskell)
a073492 n = a073492_list !! (n-1)
a073492_list = filter ((> 0) . a073490) [1..]
-- Reinhard Zumkeller, Dec 20 2013

Crossrefs

Cf. A005117, A073493, A073494, A073495, A073491, A073486.

Sequence in context: A255532 A307516 A069900 * A073493 A162685 A272374

Adjacent sequences: A073489 A073490 A073491 * A073493 A073494 A073495

Keyword

nonn

Author

Reinhard Zumkeller, Aug 03 2002

Status

approved