Two math problems in http://projecteureka.org sumitted by me.

http://projecteureka.org/problem/question/814

 

 

Problem 814 - Tringles whose perimeter are 12345

Count different Tringles whose all 3 side lengths are integers and perimeter are 12345.

Solution Format/Example: 98765

 

 

 

 

Figure:

 

 

 

 

http://projecteureka.org/problem/question/815

 

Problem 815 - Find the smallest pair of a,b

We can prove that for any positive integer n>1,there exists integer pairs of a,b which n=(a^2+b)/(a+b^2) and a>b>1
e.g.

13=(19^2+3)/(19+3^2)

If n=202, find the smallest pair of a and b

Solution Format/Example: 1089,108