May 6–May 12, 2008
Problem
In an old edition of Ripley's Believe It Or Not, it was stated that the number N = 526315789473684210 is a "persistent" number. That is, if multiplied by any positive integer the resulting number always contains the ten digits 0, 1, 2, ..., 9 in some order with possible repetitions.
- Prove or disprove the above statement.
- Are there any peristent numbers smaller than the above number N?
Solution
here.
List of solvers
Jacob Lewis, Dustin Moody (graduate); Konrad Schroder (staff); Stefan Sharkansky, Lloyd Sakazaki (outside).
Konrad Schroder wins the prize!