MathDB

5

Part of 2006 JBMO ShortLists

Problems(1)

Quadratic equation in naturals

Source: JBMO Shortlist 2006

11/10/2008
Determine all pairs (m,n) (m,n) of natural numbers for which m^2\equal{}nk\plus{}2 where k\equal{}\overline{n1}.
EDIT. [color=#FF0000]It has been discovered the correct statement is with k\equal{}\overline{1n}.
quadraticsnumber theory proposednumber theory