be real positive numbers such that: 
.
satisfying :![\[n^{2p}=m^2+n^2+p+1\]](http://latex.artofproblemsolving.com/7/4/e/74ee592cb8b3f3a3996ea34f40b78fde9d3672fc.png)
and 
are integers and 
is a prime number.
be a positive integer and let 
be a finite set of odd prime numbers. Prove that there is at most one way (up to rotation and reflection) to place the elements of 
for some positive integer 
.
Y by
Let 
be a right triangle with 
and M the center of 
. Let 
br any point on the line 
and 
a point on the line 
, such that 
. Further let 
be a point on the straight line 
, such that 
. Show that the circles of the triangles 
and 
intersect on the segment .
be a right triangle with 
and M the center of 
. Let 
br any point on the line 
and 
a point on the line 
, such that 
. Further let 
be a point on the straight line 
, such that 
. Show that the circles of the triangles 
and 
intersect on the segment .
