Mathlean · Online math workspace

Integer partition calculator

Count unordered partitions of a positive integer into positive parts.

How to use this calculator

Replace 5; there are seven integer partitions of 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

PartitionsP⁡(5)\operatorname{PartitionsP}\left(5\right)

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

What to know

This counts partitions, not ordered compositions or set partitions.

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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