A217051 Smallest k such that the number k^n in its decimal representation has a prime number of copies of the digit d for each d from 0 through 9.

3164252736, 258479, 69636, 15165, 3123, 1019, 1315, 815, 307, 205, 475, 347, 143, 151, 272, 1388, 618, 245, 12080, 48, 8635, 23, 287467, 17, 23118, 8440, 48387, 127009, 65457, 70662, 13181, 42911, 4965, 162192, 14460, 226994, 12, 55853, 4104749, 2674855

Offset: 2

Author

James G. Merickel, Sep 25 2012

Keywords

• nonn
• base

Examples

			23^23 = 20880467999847912034355032910567 has a prime number of copies of each digit (two 1's and two 6's; three 2's, 3's, 4's, 5's, 7's and 8's; and five each of 9's and 0's), and no k < 23 is such that k^23 has this property.
		

Crossrefs

Cf. A216855.