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A204691 Numbers n such that n contains exactly 5 digits, all distinct, and n^2 contains exactly 9 distinct digits. 0

%I

%S 10278,12543,12586,13268,13278,13698,14098,15963,16549,16854,17529,

%T 18072,19023,20316,20513,20754,21397,21439,23019,23178,24807,25941,

%U 26351,26409,27105,27984,28346,28731,29034,29106

%N Numbers n such that n contains exactly 5 digits, all distinct, and n^2 contains exactly 9 distinct digits.

%C There are 30 terms (a(30)=29106); the only prime is a(17)=21397.

%t Select[Range[10000, Sqrt[10^9]], Length[Union[IntegerDigits[#]]] == 5 && Length[Union[IntegerDigits[#^2]]] == 9 &] (* _T. D. Noe_, Jan 18 2012 *)

%Y Subsequence of A054037.

%K base,nonn,fini,full

%O 1,1

%A _Zak Seidov_, Jan 18 2012

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Last modified October 18 01:39 EDT 2021. Contains 348065 sequences. (Running on oeis4.)