A325511 Numbers whose prime signature is that of a factorial number.

1, 2, 3, 5, 6, 7, 10, 11, 13, 14, 15, 17, 19, 21, 22, 23, 24, 26, 29, 31, 33, 34, 35, 37, 38, 39, 40, 41, 43, 46, 47, 51, 53, 54, 55, 56, 57, 58, 59, 61, 62, 65, 67, 69, 71, 73, 74, 77, 79, 82, 83, 85, 86, 87, 88, 89, 91, 93, 94, 95, 97, 101, 103, 104, 106

Offset: 1

Author

Gus Wiseman, May 08 2019

Keywords

• nonn

Comments

A181819(a(n)) belongs to A325508.

Examples

			The sequence of terms together with their prime indices begins:
   1: {}
   2: {1}
   3: {2}
   5: {3}
   6: {1,2}
   7: {4}
  10: {1,3}
  11: {5}
  13: {6}
  14: {1,4}
  15: {2,3}
  17: {7}
  19: {8}
  21: {2,4}
  22: {1,5}
  23: {9}
  24: {1,1,1,2}
  26: {1,6}
  29: {10}
  31: {11}
		

Crossrefs

Cf. A000142, A011371, A022559, A076934, A115627, A181819, A325272, A325276, A325508, A325509, A325510.

Programs

Mathematica

Select[Range[30],MemberQ[Table[Sort[Last/@FactorInteger[k!]],{k,#}],Sort[Last/@FactorInteger[#]]]&]