4

Part of 2018 Flanders Math Olympiad

Problems(1)

3-digit number wanted

Source: Flanders Math Olympiad 2018 p4

Determine all three-digit numbers N such that

N^2

has six digits and so that the sum of the number formed by the first three digits of

N^2

and the number formed by the latter three digits of

N^2

N

number theoryDigits