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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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