4 ms·
Happy Prime Year
- mad44 16y ago2011 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 http://twitter.com/#!/mathematicsprof
- aeurielesn 16y ago2011 is a Sexy Prime[1] too. [1] http://en.wikipedia.org/wiki/Sexy_prime http://en.wikipedia.org/wiki/Sexy_prime
- ourfrank 16y agoHow? 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.
- juiceandjuice 16y agoHappy Full nibble day. 255
- cd34 16y agonibble would max at 15, byte is 255. But good thinking. :)
- juiceandjuice 16y agoHaha yeah, I'm a little drunk-over.
- meric 16y agoToday's date also happens to be 1/1/11.
- cd34 16y agoYou wrote it wrong, the date doesn't come first, it is 1/1/11.
- bkhl 16y ago2/2/2011 is a prime number day, since 222011 is a prime ;)
- solipsist 16y agoThe 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 http://i.imgur.com/BuPij.png
- thyrsus 16y agoIs there some interesting result in number theory that led you to take the absolute value of the differences?
- solipsist 16y agoI 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
- alextgordon 16y agoPrimes 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.