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A317090 Positive integers whose prime multiplicities span an initial interval of positive integers. 26

%I #11 Oct 18 2020 15:43:45

%S 2,3,5,6,7,10,11,12,13,14,15,17,18,19,20,21,22,23,26,28,29,30,31,33,

%T 34,35,37,38,39,41,42,43,44,45,46,47,50,51,52,53,55,57,58,59,60,61,62,

%U 63,65,66,67,68,69,70,71,73,74,75,76,77,78,79,82,83,84,85

%N Positive integers whose prime multiplicities span an initial interval of positive integers.

%C The first term in this sequence but absent from A179983 is 180.

%H <a href="/index/Pri#prime_signature">Index to sequences related to prime signature</a>

%t normalQ[m_]:=Union[m]==Range[Max[m]];

%t Select[Range[2,100],normalQ[FactorInteger[#][[All,2]]]&]

%Y Cf. A001222, A007916, A055932, A056239, A069799, A112798, A124010, A133808.

%Y Cf. A317087, A317088, A317089, A317091, A317092.

%Y Subsequences: A129912\{1}, A179983\{1}.

%Y Subsequence of A337533.

%K nonn

%O 1,1

%A _Gus Wiseman_, Jul 21 2018

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Last modified April 19 08:36 EDT 2024. Contains 371782 sequences. (Running on oeis4.)