A320700 Odd numbers whose product of prime indices is a nonprime prime power (A246547).

7, 9, 19, 21, 23, 25, 27, 49, 53, 57, 63, 81, 97, 103, 115, 121, 125, 131, 133, 147, 159, 171, 189, 227, 243, 289, 311, 343, 361, 371, 393, 399, 419, 441, 477, 513, 515, 529, 567, 575, 625, 661, 691, 719, 729, 917, 931, 933, 961, 1007, 1009, 1029, 1067, 1083

Offset: 1

Author

Gus Wiseman, Oct 19 2018

Keywords

• nonn

Examples

			The sequence of all integer partitions whose Heinz numbers belong to the sequence begins: (4), (2,2), (8), (4,2), (9), (3,3), (2,2,2), (4,4), (16), (8,2), (4,2,2), (2,2,2,2), (25), (27), (9,3), (5,5), (3,3,3), (32), (8,4), (4,4,2), (16,2), (8,2,2), (4,2,2,2), (49), (2,2,2,2,2)
		

Links

• Index entries for sequences computed from indices in prime factorization

Crossrefs

Cf. A000720, A000961, A001597, A003963, A056239, A064573, A112798, A246547, A279787, A320322, A320325, A320698, A320699.

Programs

Mathematica

Select[Range[1000],With[{x=Times@@Cases[FactorInteger[#],{p_,k_}:>PrimePi[p]^k]},OddQ[#]&&!PrimeQ[x]&&PrimePowerQ[x]]&]