We’re planning to reprise our some-but-not-every-yearly advent calendar of mathematical curiosities, starting here on 1st December and proceeding very advent-calendar-like daily thereafter. You’ll see posts appear in our site feed and on Twitter, and we’ll keep this post updated with links to each day’s post. Credit to Number Gossip for the numbery facts.

The only prime followed by a square

The smallest number of colours sufficient to colour any planar map

The number of Platonic solids

The smallest perfect number

The only prime followed by a cube

The only composite cube in the Fibonacci sequence

The smallest odd composite number

The base of our number system

The only prime comprising an even number of identical digits

The smallest abundant number

The smallest positive integer n such that n and $2^n$ end with the same digit

The number of vertices of a tesseract

The number of syllables in a haiku

The only number that is twice the sum of its digits

The largest prime which is a palindrome in Roman numerals

The maximum number of moves needed to solve the Rubik’s cube

The number of spots on a standard cubical die

The only fixed point of the Look and Say operation

The smallest isolated prime (not a Twin prime)

The only number that is the product of all the numbers less than its square root

We wish you all a brilliant festive season!

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