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

2,1

Links

Table of n, a(n) for n=2..41.

Example

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.

Sequence in context: A291600 A092380 A096566 * A198863 A199630 A374023

Adjacent sequences: A217048 A217049 A217050 * A217052 A217053 A217054

Keyword

nonn,base

Author

James G. Merickel, Sep 25 2012

Status

approved