HP 49G: Minimum Multiplier M of Integer N such that M*N Consists Only of 1's & 0's

[Gerald H]

(01-24-2020 11:48 PM)Albert Chan Wrote:  

(01-24-2020 04:06 PM)Gerald H Wrote:  Surprisingly (?) every integer N is a factor of a integer P consisting solely of 1's & 0's, for the smallest N the values of P are given here:

https://oeis.org/A004290

The challenge is to write an HP 49G programme to find minimal P/N.

Fastest unerring programme wins.

All positive integer N that can be interpreted as valid binary gives minimal P/N = 1

Example: N=1, 10, 11, 100, 101 ...

A quick solution for an infinite number of integers, leaving an infinite number still unresolved.

Please supply algorithm (programme) to effect your partial solution.