Pythagorean triples

 Pythagorean triples with same digital endings

 Sum of squares of two integers can be a square of an integer. Such a set of integers is called Pythagorean triple. The smallest known Pythagorean triple is (3,4,5). One can develop Pythagorean triples having same digital endings. For example in the case of (3,4,5) , we have first few Pythagorean triples with same digital endings

 3²  + 4²  = 5²

13² + 84² = 85²

23² + 264²= 265²

33²+ 544²= 545²  

43² + 924² = 925²

This set can be expressed with an algebraic relation

(10 n + 3)² + ( 50 n² + 30n + 4)² =  ( 50 n² + 30n + 5)²