Friday, March 13, 2009

23



Today i am 23.

Twenty-three is the ninth prime number, the smallest odd prime which is not a twin prime. Twenty-three is also the fifth factorial prime, the second Woodall prime. It is an Eisenstein prime with no imaginary part and real part of the form 3n − 1.

The fifth Sophie Germain prime and the fourth safe prime, 23 is the next to last member of the first Cunningham chain of the first kind to have five terms (2, 5, 11, 23, 47). Since 14! + 1 is a multiple of 23 but 23 is not one more than a multiple 14, 23 is a Pillai prime. 23 is the smallest odd prime to be a highly cototient number, as the solution to x - φ(x) for the integers 95, 119, 143, 529.

Twenty-three is the aliquot sum of two integers; the discrete biprimes 57 and 85 and is the base of the 23-aliquot tree.

23 is the first prime P for which unique factorization of cyclotomic integers based on the P'th root of unity breaks down.

The sum of the first 23 primes is 874, which is divisible by 23, a property shared by few other numbers.

In the list of Fortunate numbers, 23 occurs twice, since adding 23 to either the fifth or eighth primorial gives a prime number (namely 2333 and 9699713).

23 also has the distinction of being one of two integers that cannot be expressed as the sum of fewer than 9 cubes of integers (the other is 239). See Waring's problem.

23 is a Wedderburn-Etherington number. The codewords in the perfect binary Golay code are of size 23.

According to the birthday paradox, in a group of 23 (or more) randomly chosen people, the probability is more than 50% that some pair of them will have the same birthday.

There were 23 problems on David Hilbert's famous list of unsolved mathematical problems, presented to the International Congress of Mathematicians in Paris in 1900.

In base 10, 23 is the second Smarandache-Wellin prime, as it is the concatenation of the base 10 representations of the first two primes (2 and 3) and is itself also prime. It is also a happy number in base 10. 23! is 23 digits long in base 10. There are only three other numbers that have this property: 1, 22, and 24.

The natural logarithms of all positive integers lower than 23 are known to have binary BBP-type formulae.

The first 6 digits of Pi are 3.14159 which all add up to 23.

16 comments:

Mira said...

happy birthday! i've seen so many piks of u with ure wildly amazing futuristic sunglasses. love ure style!

p.s. i love 23 because it was michael jordans lucky number

TheGlamorousEccentric said...

Happy Birthday! This is my first time coming to your blog but it will not be my last. I think you have incredible style and really embody the notion of fashion as art form rather than function alone. xxo

KimLeeStar said...

Wow you just made me appreciate being 23!!

Happy Birthday!!!!! I hope you have a fantastic day!

xoxo

thefatandskinnyonfashion said...

Happy Birthday!

jenny said...

i ve sent my best wishes to u yesterday:P
and im so bad at math
keep wearing ur unbelieveable outfit..
xoxo

Jei said...

Happy 23rd! I hope you have an awesome birthday <3.

- Jei
noiretro.cjb.net

no-more-wire-hangers said...

HAPPY BIRTHDAY babe x

Joris Bruring said...

You're such a math geaniuss! :)

A little late but... Happy birthday!!! And I wish you a lot of crazyness and inspiration this year!

Joris

Anonymous said...

wikipedia much..?

Anonymous said...

but happy happy birthday...

... said...

Hi from Paris !
Happy Birthday !

Fred the Mole

http://easyfashion.blogspot.com/2009/03/jean-paul-his-incredible-look-christian.html

Clément Louis said...

Happy Birthday mister .
I can see you in the Dior show .
sorry for my realy bad english !

Clément Louis .

Summer said...

Hi, this is my first time dropping by at your blog.And i found it great.I would definitely follow through your beautiful blog.;D
I love your outfit here.It's so gorgeous.Have a nice day, hope to see you on my blog too..;D

Summer said...

ps: Belated happy 23rd birthday.;D

Fashion Hazel by Thaïs Veronica said...

Happy b-day, and your skirt is really amazing! You go!

Joanie said...

Nog gefeliciteerd!! dikke kus