A391002 Smallest positive integer k such that k^n contains each digit of k exactly n times, or -1 if no such k exists.

1, 72576, 87624375, 5702631489, 961527834, 7025869314, 92751390846, 847351722906, 95479203618

Offset

1,2

Links

Table of n, a(n) for n=1..9.

Example

a(3) = 87624375, because 87624375^3 = 672782675854638427734375 has each digit of 87624375 for 3 times, and no lesser number satisfies this.

Crossrefs

Cf. A114259, A114260, A114261, A363160, A371469.

Sequence in context: A093212 A389546 A114258 * A238151 A234243 A260053

Adjacent sequences: A390999 A391000 A391001 * A391003 A391004 A391005

Keyword

nonn,base,more

Author

Zhining Yang, Nov 25 2025

Status

approved