Mathlean · Online math workspace
Integer quotient ring calculator
Count the classes in the ring of integers modulo a positive integer.
How to use this calculator
Edit the modulus 5 inside Count. There are five distinct classes in the integers modulo 5.
Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.
Try it here
Interactive tools require JavaScript. You can read the guide and example without it.
What to know
The notation means integers modulo n here, not p-adic integers. This guide does not claim general symbolic quotient-ring computation.
Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.