MathDB

1

Part of 2021 EGMO

Problems(1)

2021 EGMO P1: {m, 2m+1, 3m} is fantabulous

Source: 2021 EGMO P1

4/13/2021
The number 2021 is fantabulous. For any positive integer mm, if any element of the set {m,2m+1,3m}\{m, 2m+1, 3m\} is fantabulous, then all the elements are fantabulous. Does it follow that the number 202120212021^{2021} is fantabulous?
EGMO 2021combinatoricsEGMOSets