Integer Partition Generator

n = λ₁ + λ₂ + ...

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n (1–30)

p(8)

Distinct: 6Odd parts: 6

Partitions

7 + 1

6 + 2

6 + 1 + 1

5 + 3

5 + 2 + 1

5 + 1 + 1 + 1

4 + 4

4 + 3 + 1

4 + 2 + 2

4 + 2 + 1 + 1

4 + 1 + 1 + 1 + 1

3 + 3 + 2

3 + 3 + 1 + 1

3 + 2 + 2 + 1

3 + 2 + 1 + 1 + 1

3 + 1 + 1 + 1 + 1 + 1

2 + 2 + 2 + 2

2 + 2 + 2 + 1 + 1

2 + 2 + 1 + 1 + 1 + 1

2 + 1 + 1 + 1 + 1 + 1 + 1

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

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About Integer Partition Generator

An integer partition generator listing all ways to write n as a sum of positive integers (order doesn't matter). Shows partition count p(n), Young diagrams, conjugate partitions, and distinct/odd parts. All calculations are client-side.

Integer Partition Generator Features

All partitions
Count p(n)
Young diagram
Conjugate
Distinct/odd

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