MathDB

8

Part of 2006 JBMO ShortLists

Problems(1)

Permutations of digits are perfect squares

Source: JBMO Shortlist 2006

11/10/2008
Prove that there do not exist natural numbers n≥10 n\ge 10 having all digits different from zero, and such that all numbers which are obtained by permutations of its digits are perfect squares.
number theory proposednumber theory