Partition Function Calculator

p(n) integer partitions

All Tools

n (0–200)

p(7)

Partitions

6 + 1

5 + 2

5 + 1 + 1

4 + 3

4 + 2 + 1

4 + 1 + 1 + 1

3 + 3 + 1

3 + 2 + 2

3 + 2 + 1 + 1

3 + 1 + 1 + 1 + 1

2 + 2 + 2 + 1

2 + 2 + 1 + 1 + 1

2 + 1 + 1 + 1 + 1 + 1

1 + 1 + 1 + 1 + 1 + 1 + 1

Table

p(0)=1

p(1)=1

p(2)=2

p(3)=3

p(4)=5

p(5)=7

p(6)=11

p(7)=15

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About Partition Function Calculator

An integer partition function calculator computing p(n) = number of ways to write n as sum of positive integers. Shows partition list, generating function, and Ramanujan congruences. Uses dynamic programming. All calculations are client-side.

Partition Function Calculator Features

p(n)
Partition list
Generating function
Congruences
Table

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