.TH MATHO-SUMSQ 1 "" "Mathomatic" "Mathomatic Utilities" .SH NAME matho-sumsq \- Find the minimum sum of the squares for integers .SH SYNOPSIS .B matho-sumsq .RI [ numbers ] .SH DESCRIPTION This command-line utility is optionally part of the .BR mathomatic (1) package. It finds the minimum number of positive integers that when squared and added together, equal the given number. There is a proof that no more than 4 squares summed together are required to represent any positive integer. The command-line may contain positive integers to find the minimum squares of, they must be less than 2147483648 (2^31) on 32-bit systems or less than 9223372036854775808 (2^63) on 64-bit systems. If "+" is appended to the given number, the program counts up from the given number. If the minimum number of squares is 2, this program displays all possible combinations with 2 squares for the given number, otherwise it just displays the first combination it finds. If no command-line arguments are given, the programs reads the numbers from standard input. .SH AUTHOR George Gesslein II (gesslein@mathomatic.org) at "http://www.mathomatic.org". .SH "REPORTING BUGS" If you find a bug, please report it to the author or at "https://launchpad.net/mathomatic". .SH "SEE ALSO" .BR mathomatic (1), .BR matho-pascal (1), .BR matho-primes (1)