In: Math
23. Show that for any numbern, n andn+1 are coprime.
28. Show that if (a,b)=1 and c divides a, then (c,b)=1.
Solution:

Suppose 
  
and 


  
is always true


  
and   
  
are coprime


  there
are integers 
  and 
   such that 
Also,   
  there
is an integer 
  such that 
substitute 
  in   
  

