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

Author

Zak Seidov, Jan 18 2012

Keywords

• base
• nonn
• fini
• full

Comments

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

Crossrefs

Subsequence of A054037.

Programs

Mathematica

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