Happy Prime Year

[jawns]

http://coding.pressbin.com/69/Happy-prime-year/

[mad44]

2011 is also the sum of 11 CONSECUTIVE prime numbers: 2011=157+163+167+173+179+181+191+193+197+199+211 http://twitter.com/#!/mathematicsprof

[aeurielesn]

2011 is a Sexy Prime[1] too.

[1] http://en.wikipedia.org/wiki/Sexy_prime

[ourfrank → aeurielesn]

How? A sexy prime seems to be a pair of prime numbers, not one number.

2011 is, like 2017, a prime number. Therefore (2011, 2017) is a sexy prime, or a pair of prime numbers where one is larger than the other by 6.

[solipsist]

The prime years in the 21st century and the differences of their differences...of their differences.

2003 2011 2017 2027 2029 2039 2053 2063 2069 2081 2083 2087 2089 2099

8 6 10 2 10 14 10 6 12 2 4 2 10

2 4 8 8 4 4 4 6 10 2 2 8

2 4 0 4 0 0 2 4 8 0 6

2 4 4 4 0 2 2 4 8 6

2 0 0 4 2 0 2 4 2

2 0 4 2 2 2 2 2

2 4 2 0 0 0 0

2 2 2 0 0 0

0 0 2 0 0

0 2 2 0

2 0 2

2 2

0

This does not always result in 0 at the end. For example, the differences of the first eight primes:

1 2 2 4 2 4 2

1 0 2 2 2 2

1 2 0 0 0

1 2 0 0

1 2 0

1 2

1

Here is what it looks like with better formatting: http://i.imgur.com/BuPij.png

[alextgordon → solipsist]

Primes greater than 2 are always odd. So your first differences will always be even. Since the first differences are always even, then so will be the second differences, and the third, and so on. So the final value will always be an even number given any finite sequence of primes > 2.

[thyrsus → solipsist]

Is there some interesting result in number theory that led you to take the absolute value of the differences?

[solipsist → thyrsus]

I wish I could say I knew of some interesting result, but I did it only out of fascination. However, if you look closely at the two triangles, you can see some interesting pattens. For example, they each have a triangle of 0's on the right side of them, bordered by 2's. I think I remember reading about this occurrence (which I'm pretty sure appears in more places than just these two triangles I happened to choose), but I can't seem to remember where.

4 2 2 2 2 2

2 0 0 0 0

2 0 0 0

2 0 0

2 0

0 2 2 2 2

2 0 0 0

2 0 0

2 0

[bkhl]

2/2/2011 is a prime number day, since 222011 is a prime ;)

[meric]

Today's date also happens to be 1/1/11.

[cd34 → meric]

You wrote it wrong, the date doesn't come first, it is 1/1/11.

[juiceandjuice]

Happy Full nibble day. 255

[cd34 → juiceandjuice]

nibble would max at 15, byte is 255. But good thinking. :)

[juiceandjuice → cd34]

Haha yeah, I'm a little drunk-over.