MathDB

3

Part of 2020 Malaysia IMONST 2

Problems(2)

Malaysia IMONST 2 Senior Problem 3

Source: Malaysia IMO national selection test 2020

10/19/2020
Find all possible integer values of nn such that 12n2+12n+1112n^2 + 12n + 11 is a 44-digit number with equal digits.
number theoryquadratics
a and b are both divisible by 11 when a^2+b^2 is divisible by 11

Source: 2020 Malaysia IMONST Round 2 Junior 3

9/22/2021
Given integers aa and bb such that a2+b2a^2+b^2 is divisible by 1111. Prove that aa and bb are both divisible by 1111.
number theorydivisibledivides