A199632 Numbers having each digit once and whose 5th power has each digit five times.

7351062489, 8105632794, 8401253976, 8731945026, 9164072385, 9238750614, 9615278340, 9847103256

Offset: 1

Author

T. D. Noe, Nov 09 2011

Keywords

• nonn
• base
• fini
• full

Comments

There are 8 numbers total. Subsequence of A114261.

Examples

			7351062489 ^5 = 21465972705539303240727164839587886180361092651449.
		

Links

• Patrick De Geest, The nine digits (page 4) with some ten digit (pandigital) exceptions
• Author?, All terms

Crossrefs

Cf. A050278 (pandigital numbers), A199630, A199631, A114260, A114261, A199633.

Programs

Mathematica

t = Select[Permutations[Range[0, 9]], #[[1]] > 0 &]; t2 = Select[t, Union[DigitCount[FromDigits[#]^5]] == {5} &]; FromDigits /@ t2