1

Part of 1992 Cono Sur Olympiad

Problems(2)

Source: Cono Sur 1992-problem 1

Find a positive integrer number

n

such that, if yor put a number

2

on the left and a number

1

on the right, the new number is equal to

33n

number theory unsolvednumber theory

Proof about solutions

Source: Cono Sur 1992-problem 4

Prove that there aren't any positive integrer numbers

x,y,z

x^2+y^2=3z^2

calculusintegrationnumber theory unsolvednumber theory