Mathlean · Online math workspace

Primitive root calculator

Find a supported generator of the multiplicative group modulo an integer.

How to use this calculator

Replace 7; 3 is a primitive root modulo 7.

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

PrimitiveRoot⁡(7)\operatorname{PrimitiveRoot}\left(7\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Not every modulus has a primitive root. Different valid generators need not be identical.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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