A146028 Numbers that can be written from base 2 to base 15 using only the digits 0 to 7.

0, 1, 2, 3, 4, 5, 6, 7, 15, 16, 174731235562130, 174731235562131, 174731235562132, 174731235562143, 174731235562147, 174731235562170, 174731235562171, 174731235564710, 174731235564711, 174731236371006, 25354527232277132536350, 25354527232277132536351

Offset: 1

Author

Daniel Mondot, Nov 02 2008, Nov 06 2008

Keywords

• nonn
• base

Comments

It is a plausible conjecture that there are no more terms, but this has not been proved. - N. J. A. Sloane, Nov 17 2017

Links

• Stuart A. Burrell, Han Yu, Digit expansions of numbers in different bases, arXiv:1905.00832 [math.NT], 2019.

Crossrefs

Cf. A146025, A146026, A146027, A146029, A131646, A275600.

Programs

Mathematica

Select[Range[0, 10^5], Function[n, Times @@ Boole@ Map[Max@ IntegerDigits[n, #] <= 7 &, Range[2, 15]] > 0]] (* Michael De Vlieger, Aug 15 2016 *)