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30 31 32

# 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.

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

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

30 31 32
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