Sum of squares

This applet finds the decomposition of any positive number greater than 1 into up to four squares.

Notice that it does not find the prime factorization of the number entered by the user, so some cases where two squares would be enough will be represented as a sum of three squares. For example, 10000998089 = 953172 + 302602.

If you find any error or you have a comment, please fill in the form.

Written by Dario Alpern.

Source code

You can download the source of the current program and the old sum of four squares applet from here. Notice that the source code is in C language and you need the Emscripten environment in order to generate Javascript.

You can also enter expressions that use the following operators and parentheses:

See the methods used in this applet here.