All being well we should be moving to a different house soon. We are moving to a house numbered 25, which is pretty good in a mathematical sense because not only is it a square number but it is also the smallest square that can be written as the sum of two other squares (25=16+9, or 52=42+32).
That got me thinking about other house numbers that I have lived in, and what makes them special. A quick bit of research reveals:
- A house where I was born for which I am usure of the number so am unable to comment.
- A house where I spent my first four years. I can't remember this house number either.
- Number 19 where I lived between ages 5-17. 19 is the 8th prime number. It also happens to be the maximum number of 4th powers needed to sum to any number.
- Then I lived at number 21 briefly when I went off to university. This is the smallest number of distinct squares needed to tile a square.
- After that I lived at number 147 (also while at university). Apart from being the maximum break at snooker, 147 is also the number of 6-sided hexes.
- I left uni and rented at some other house, the number of which escapes me.
- Then I lived at number 47 for a while. This is the largest number of cubes that cannot tile a cube.
- Following that I moved to York for a bit and lived at number 63. This is the number of partially ordered sets of five elements.
- Finally, for now, I live at number 77, which, as everyone knows, is the largest number that cannot be written as a sum of distinct numbers whose reciprocals sum to 1.
I bet noone else can claim such an interesting list of house numbers to have lived at.
Apart from that... well, I can't be bothered to find interesting things about the numbers
But I can remember them all - 97, 21, 22, 47, 24, 33, 52, 39, 10, 14, 11
13/3 (a flat)
7
**
99
41
[no house number, but occasionally the Post Office used to refer to it as "8 The Bowlings", the official address being "RSM's House" - posh, eh?]
46
**
(all the time between ** I was incarcerated in Scotland at a house with no number)
5
118
6
5
Make of that what you will. I'm more than a little alarmed that I've lived in so many houses with no number. Does this make me sepcial?
The first one I can't remember but it was one-hundred-and-something, then they were 13, 32 and 20. Very dull.
45 - which is the sum of all single digit numbers (1+2+3+4+5+6+7+8+9). It is also a Kaprekar number, which makes it extra-sepcial.
25 - wot you sed.
62 - which is the smallest number which can be written as the sum of 3 distinct squares in 2 ways.
64 - the smallest number with 7 divisors
and
19 - the maximum number of 4th powers needed to sum any number.
Sorry, got confused there.
Sorry I can't think of anything intelligent to say about the game. Maybe I'm just sore thou, from when me and my friend sent our fantastic game to Waddington's and it came back with apologetic but encouraging words