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

10278, 12543, 12586, 13268, 13278, 13698, 14098, 15963, 16549, 16854, 17529, 18072, 19023, 20316, 20513, 20754, 21397, 21439, 23019, 23178, 24807, 25941, 26351, 26409, 27105, 27984, 28346, 28731, 29034, 29106

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..30.

Mathematica

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

Crossrefs

Subsequence of A054037.

Sequence in context: A356979 A187311 A289855 * A270762 A200712 A257191

Adjacent sequences: A204688 A204689 A204690 * A204692 A204693 A204694

Keyword

base,nonn,fini,full

Author

Zak Seidov, Jan 18 2012

Status

approved