4
Part of 1997 Bundeswettbewerb Mathematik
Problems(2)
10000 trees in a park, arranged in a 100x100 square grid
Source: 1997 German Federal - Bundeswettbewerb Mathematik - BWM - Round 1 p4
1/27/2020
There are trees in a park, arranged in a square grid with rows and columns. Find the largest number of trees that can be cut down, so that sitting on any of the tree stumps one cannot see any other tree stump.
gridcombinatorics
3n+1 , 4n+1 are perfect squares then n is divisible by 56
Source: 1997 German Federal - Bundeswettbewerb Mathematik - BWM - Round 2 p4
1/27/2020
Prove that if is a natural number such that both and are squares, then is divisible by .
number theoryPerfect SquaresPerfect Squaredivisible