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Aperiodvent 2018 – a month of mathematical things

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.

1

The only triangular cube

2

The only even prime

3

The only prime followed by a square

4

The smallest number of colours sufficient to colour any planar map

5

The number of Platonic solids

6

The smallest perfect number

7

The only prime followed by a cube

8

The only composite cube in the Fibonacci sequence

59

The smallest odd composite number

10

The base of our number system

11

The only prime comprising an even number of identical digits

12

The smallest abundant number

13

The smallest emirp

14

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

15

The smallest emirpimes

16

The number of vertices of a tesseract

17

The number of syllables in a haiku

18

The only number that is twice the sum of its digits

19

The largest prime which is a palindrome in Roman numerals

20

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

21

The number of spots on a standard cubical die

22

The only fixed point of the Look and Say operation

23

The smallest isolated prime (not a Twin prime)

24

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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