be an acute triangle with circumcenter 
.
,
on side 
.
passing through 
at point 
.
and 
be a triangle and 
points in the same plane such that 
,
,
.
is parallel to 
,
is the midpoint of segment 
,
and
meaning 
is the least common multiple of the numbers 
.
such that
for every positive integer 
such that 
for any relatively prime natural numbers 
.
Y by Adventure10, Mango247
If 
are positive integers such that 
divides 
, show that for every positive integer 
, 
and 
are relatively prime.
What I did:
As are 
integers, let 
where 
.
Then
must divides 
. As 
then 
.
So
leads to a contradiction of what we assumed 
.
Therefore
Please let me know if it is correct.
are positive integers such that 
divides 
, show that for every positive integer 
, 
and 
are relatively prime.What I did:
As
are 
integers, let 
where 
.Then
must divides 
. As 
then 
.So
leads to a contradiction of what we assumed 
.Therefore
Please let me know if it is correct.
This post has been edited 2 times. Last edited by sengupta_arka123, Apr 11, 2015, 6:16 AM
and use the Euclidean algorithm to get 
.
.
