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%I #9 Mar 21 2021 21:47:05
%S 7,9,19,21,23,25,27,49,53,57,63,81,97,103,115,121,125,131,133,147,159,
%T 171,189,227,243,289,311,343,361,371,393,399,419,441,477,513,515,529,
%U 567,575,625,661,691,719,729,917,931,933,961,1007,1009,1029,1067,1083
%N Odd numbers whose product of prime indices is a nonprime prime power (A246547).
%H <a href="/index/Pri#prime_indices">Index entries for sequences computed from indices in prime factorization</a>
%e 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)
%t Select[Range[1000],With[{x=Times@@Cases[FactorInteger[#],{p_,k_}:>PrimePi[p]^k]},OddQ[#]&&!PrimeQ[x]&&PrimePowerQ[x]]&]
%Y Cf. A000720, A000961, A001597, A003963, A056239, A064573, A112798, A246547, A279787, A320322, A320325, A320698, A320699.
%K nonn
%O 1,1
%A _Gus Wiseman_, Oct 19 2018