MathDB

1

Part of 2005 Federal Competition For Advanced Students, Part 1

Problems(1)

All 10 Digits

Source: Austrian MO 2005 round 1

6/27/2005
Prove that there are infinitely many multiples of 2005 that contain all the digits 0, 1, 2,...,9 an equal number of times.
pigeonhole principlenumber theorynumber theory unsolved