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## The Number 31: Properties and Meanings

**31**is a Prime Number.

**31** is a Mersenne Number.

**31** is a Centered Triangular Number.

**31** is a Centered Pentagonal Number.

**31** is a Centered Decagonal Number.

There are only **31** numbers which cannot be expressed as the sum of distinct squares.

**31** is the number of moves required in a Tower of Hanoi Puzzle containing 5 discs.

**31** can be Partitioned 6842 ways.

**31** can be Partitioned 16 times with each term no larger than 2

**31** can be Partitioned 96 times with each term no larger than 3

**31** can be Partitioned 321 times with each term no larger than 4

**31** can be Partitioned 748 times with each term no larger than 5

**31** can be Partitioned 1360 times with each term no larger than 6

The number of regular polygons with an odd number of sides that can be constructed with straightedge and compass = **31**.

The Chemical Element Gallium has an atomic number of **31**.

The Chemical Element Phosphorus has one Stable Isotope. It has **31** neutrons.

Pradjapati created the universe by articulating the odd numbers from 1 to **31**, according to the Vajasaneya Samhita - white Yajur.

In Buddhism, there are **31** planes of existence.

### The Year 31 AD

In the year**31**AD Musonius Rufus, Roman philosopher was born.

In the year **31** AD Saint Stephen died, by stoning.

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