Calculate the sum of the self-inverting integers modulo 7 between 1 and 50. Reduce sum modulo 13.

The mathematics MS degree requirement paper authored by University of Guelph graduate Canadian Thomas Jeffery partially inspired this average level of difficulty problem. Have you ever noticed the word "all" is superfluous in some math instructions? Read instructive commentary of math tutor hdecristo for other ways to improve mathematics exposition. Definition of a self-invertible integer modulo 7: An integer, I, is self-inverting modulo 7 whenever I^2 ≡ 1(mod 7). This topic is central to proving Chinese Remainder Theorem and Wilson's Theorem.
Calculate the sum of all the self-invertible integers mod 7 between 1 and 50. Find the least residue of this sum modulo 13.

Видео Calculate the sum of the self-inverting integers modulo 7 between 1 and 50. Reduce sum modulo 13. канала My One Fiftieth Of A Dollar