On Sum of Two Squares in One or Two Ways
1V.Sujatha
2M.Gangadhar Reddy
3M.V Sesha Reddy
1Gouthami Institute of Technology & Management For Women, Proddatur,
2Gouthami Institute of Technology & Management For Women, Proddatur,
3Gouthami Institute of Technology & Management For Women, Proddatur
The question of expressing a natural number as sum of two squares in one or two different ways has been of significant importance in mathematics. This question has affirmatively been answered by several prominent mathematicians like Euler, Lagrange, Gauss, Dedekind and many more. In this paper, we will provide nice and elementary techniques by which we can determine the numbers which are expressible as sum of two squares in one or two different ways using the concept of factorization of a number.
Sum of Two Squares, Factorization, Greatest Common Divisor, Primes
