again with the positive real numbers :P! Geez, what do imaginary numbers have to do to gain some respect around here :P...

Be easy to work your way through. The complex plane is hard to find some good order too.

very true...

real numbers ... you know they dont exist in any real sense. I'm happy to stick with the naturals.

26: number of letters in the English alphabet
26: 222 in base 3 and 22 in base 12
27: cube
28: (28-1)=3^3 and (82-1)=3^4
29: co prime with 31
30: 101 in base 3
31: co prime with 29

qwigufeq!

29: coprime with 31
31: coprime with 29

That surely doesn't count!

That they are prime does.

Isn't 3^0 = 1 ? Or hasn't my brain booted yet?

If so, 12 is wrong.

Yeah, it is. My mistake

1: Empty product
2: Only even prime
3: First Odd Prime
4: Square number (2^2)
5: Prime
6: Perfect number (1+2+3=6)
7: Prime
8: Cube (2^3)
9: Square (3^2)
10: First noncototient number
11: Prime
12: 3^2+3^1
13: Prime
14: 2^3+2^2+2^1
15: Hypotenuse length of 9-12-15 right triangle
16: Square and Fourth Power (4^2, 2^4)
17: Prime
18: 2*3^2
19: Prime
20: Hypotenuse length of 12-16-20 right triangle
21: Fibonacci Number
22: Palindromic
23: Prime
24: Side in a 7-24-25 right triangle
25: Square
26: number of letters in the English alphabet
26: 222 in base 3 and 22 in base 12
27: cube
28: (28-1)=3^3 and (82-1)=3^4
29: Prime
30: 101 in base 3
31: Prime
32: 2^5

Who gets to do 42?

And do we have to do them in order or can we jump to favourites, such as 137?

3 is a magic number. http://www.youtube.com/watch?v=rCKjB0ilA4k

Work your way up, flashy.

If about 5-10 people do 5-10 a day, we will make progress very quickly.

To spoil your effort, you can find properties of all numbers in the Wikipedia.

28 is the second perfect number.

6 is also the Ramsey number of 3.

If you are in a group of 6, there are always 3 people that never did a handshake which other (pair wise) or 3 people that did a handshake with each other (pair wise).

Lucas

The real test of ability is to find the errors in a given Wikipedia article/entry...

1 is easy,
2 is the 'crossword at breakfast',
3 is the challenge for a train journey to work,
4 is the 'Why don't I write a new entry myself' level, and
5 is the 'real man' test before lunch draws your attention to that very pretty looking girl in the next office, etc.

Unlike the Encyclopedia Britannica where 1 error qualifies you for a whole page to yourself in Wikipedia and 2 earns you a Nobel Prize.

"13: prime"

Is that it? What about Trisdekaphobia?

There must be something more interesting about 26 than the number of letters. That's not pure math.

To be fair, he did give two entries for 26.

26: 222 in base 3 and 22 in base 12

Yes, I like that much better

13: the first number after the 'named' numbers, i.e. zero through twelve. The first number that has a compound name?

Hmm. Not really in Spanish. That's actually 16, isn't it. once, doce, trece, catorce, quince, dies y seis...

It is in German - elf, zwolf, dreizehn....

So it's a Germanic language thing.

That would be Dieciseis (Diez y seis)

They're all interesting.
The number '1' is interesting.
Let k be the first uninteresting number. By definition, all numbers n < k are interesting. k is the first uninteresting number -- which is interesting.
Therefore, by induction, all numbers are interesting.

QED.

@bh: very nice

@bh: that only works on countable numbers, N, Z, Q,....
what about real numbers and complex numbers?

I gave a similar proof in the other thread... which really only proves that no one can write down a boring number.

@sceptic_ka: All members of uncountably infinite sets are boring. ;-)

Glad I dodged that one!

This thread would be more interesting if you said something non-mathematically interesting about each of the numbers.

Jacob, I reckon they are equally good. We could start another thread.

bh, the idea is to find something interesting about numbers

@Jacab like..

1 true god
2 to tango
3 steps to heaven
4 crying out loud
5 alive
6 third of a beast
7 lucky
8 my dinner but still hungary
9 said the german prostitute
10 a reef for my holidays
11 oceans
12 days of xmas
13 cakes in a baker's dozen
14

4 crying out loud - no homonyms allowed!

14
.
.
.
.
1000000000 different "1 true god"

@jbalcorn - I'll think you'll find it's a homophone.

I like these (almost, well vaguely, mathematical) quotes:-

"He's chased me across distances you couldn't even write down."
"All religions are true, for different values of 'true'".
"665 - the neighbour of the beast."
"Pence make pounds, pounds make stones, stones make walls and walls make sausages."
"Black holes are were God divided by zero."

Just ask Wolfram Alpha.

eg. http://www93.wolframalpha.com/input/?i=13

Check the properties of 13. =)

http://www.numbergossip.com/

and to kill the thread again
http://www.stetson.edu/~efriedma/numbers.html

@maniac MY BAD!

I used the interesting number formula to name some of my games, with the ante corresponding to the name.

For example: Barbara Feldon - Secret Agent 99
Unununium - atomic number 111
The Largest Supersingular Prime - 71
Steve Rubell - Studio 54
WTA Blackjack -21
WTA Spinal Tap Speaker Limit - 11