be a fixed positive integer and consider an 
grid of real numbers. Determine the greatest possible number of cells 
in the grid such that the entry in 
be a positive integer . Prove that there exists infinitely many pairs of positive integers 
such that 
and :
such that 
and 
are coprime if and only if 
?
Y by donotoven
On the sides 
and 
of the triangle 
, the points 
and 
are selected, respectively, so that 
. Point 
is thw midpoint of side 
. The point 
is such that 
, 
and the segments 
and intersect at the inner point. Prove that 
if 
.
and 
of the triangle 
, the points 
and 
are selected, respectively, so that 
. Point 
is thw midpoint of side 
. The point 
is such that 
, 
and the segments 
and intersect at the inner point. Prove that 
if 
.This post has been edited 1 time. Last edited by parmenides51, Jul 17, 2021, 10:05 AM
Reason: latex
Reason: latex
