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%I #4 Apr 01 2019 07:24:50
%S 1,3,5,9,11,13,15,17,19,25,27,29,31,33,37,39,41,43,45,47,51,55,57,59,
%T 61,65,67,71,73,75,79,81,83,85,87,89,93,95,99,101,103,107,109,111,113,
%U 117,121,123,125,127,129,131,135,137,139,141,143,145,149,153,155
%N Heinz numbers of integer partitions into nonsquares (A087153).
%C The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k).
%e The sequence of terms together with their prime indices begins:
%e 1: {}
%e 3: {2}
%e 5: {3}
%e 9: {2,2}
%e 11: {5}
%e 13: {6}
%e 15: {2,3}
%e 17: {7}
%e 19: {8}
%e 25: {3,3}
%e 27: {2,2,2}
%e 29: {10}
%e 31: {11}
%e 33: {2,5}
%e 37: {12}
%e 39: {2,6}
%e 41: {13}
%e 43: {14}
%e 45: {2,2,3}
%t Select[Range[100],!MemberQ[If[#==1,{},FactorInteger[#]],{p_,_}/;IntegerQ[Sqrt[PrimePi[p]]]]&]
%Y Cf. A001156, A011757, A033461, A056239, A062457, A066328, A087153, A112798.
%Y Cf. A324571, A324587, A324588, A325128, A325130.
%K nonn
%O 1,2
%A _Gus Wiseman_, Apr 01 2019
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