Mathlean · Online math workspace

Jacobi symbol calculator

Evaluate the Jacobi symbol for integer numerator and odd positive denominator.

How to use this calculator

Edit JacobiSymbol(a,n). The starter returns 1 for (5,11).

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

JacobiSymbol⁡(5,11)\operatorname{JacobiSymbol}\left(5,11\right)

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

What to know

A Jacobi symbol of 1 does not guarantee a quadratic residue for a composite denominator.

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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