Numbers & such

[H:O:R:A:C:E]

i have an interest in sharing a number that i've discovered.
i'm not the brightest bulb in the toolbox, so some assistance in
expressing the value through proper use of mathematical terms
would be appreciated.
it would involve the twin prime conjecture.
http://en.wikipedia.org/wiki/Twin_prime

[H:O:R:A:C:E]

if there is any one interested, please let me know.

I want to reply because I'm vibrating at about 250Mhz at the moment sending out music...

Seriously, I don't know if I can help unless you explain more of what you want to do. Have you actually written out in plain text what your hypothesis is because that's often a useful first step to setting up a model (in mathematical notation).

(I'd better say now that I'm fairly busy, working to a deadline, which is why I'm spending odd moments here to take breaks from it! So I'll look in from time to time.)

[H:O:R:A:C:E]

Lorelyen , super, thanks much.
i simply want to share.
i will need someone to check my math along the way.
i have the number, virtually, but it needs proper expression.
i would like to go through the process, with witness, and provide a compelling argument.

the number generated from the process is called the sika.
a special tool required will be a notation for something like a factorial [k!], but for prime numbers!

[H:O:R:A:C:E]

i think that at the end, an understanding that an infinite set, divided finitely, will yield an infinite set is required.

the challenge: prove/disprove the twin prime conjecture.

the twin prime conjecture:
There are infinitely many primes p such that p + 2 is also prime.

(the more general conjecture that for every natural number k, there are infinitely many prime
pairs p and p′ such that p′ − p = 2k... should follow simply)

[dream jo]

for me it wud be yr 2525 2.5 i wud luv 2 sea or hears 1 yr 9999 9/9 hears 1 but it cud be bad 1 6666 6/6 satn nunr

[H:O:R:A:C:E]

thanks dream jo,

Originally Posted by H:O:R:A:C:E

i think that at the end, an understanding that an infinite set, divided finitely, will yield an infinite set is required.

the challenge: prove/disprove the twin prime conjecture.

the twin prime conjecture:
There are infinitely many primes p such that p + 2 is also prime.

(the more general conjecture that for every natural number k, there are infinitely many prime
pairs p and p′ such that p′ − p = 2k... should follow simply)

Assuming sufficient time I'd be happy enough to watch what's going on.
My maths isn't up to too much but I'd do my best. It isn't a branch that I've looked at. Dad is miles better than me. I remember him trying to show me the derivation of some of the continuous probability distributions. Pretty daunting but with some similarities such as a random variable can take on one of an infinite number of values.

You sound to be taking on something quite ambitions. I had a brief look at the "problem". Intuitively the conjecture doesn't sound right but here's where you come in!
...

[H:O:R:A:C:E]

my idea for this is really quite amazingly simple.
it's so easy, that it must be wrong.

first, let me speak to the idea of dividing an infinite set by a finite amount.
take the set of all whole numbers greater than zero; this set is infinite.
if we were to divide this set in two, each half would be infinite as well.
this might be accomplished as odds and evens.
similarly, thirds, fourths, fifths, etc would each/all produce infinite sets (still).
i believe that this is likely already proven.
i intuit that the cardinality of any set is not diminished by dividing it by a lower cardinality set.

i'll begin, properly, soon. i'd like to rediscover the names given to the first and last terms of the pairs, so that i can use them.
here's a link to a related story:
http://www.nature.com/news/first-pro...-pairs-1.12989
and another:
http://www.businessinsider.com/yitan...jecture-2014-9

[H:O:R:A:C:E]

okay; in searching for those elusive terms which are used to label the first and second number in a prime pair set, i came across the following link:
http://mathworld.wolfram.com/news/20...09/twinprimes/
the Brun's constant value appears to be what i have been on the verge of sharing, or nearly so.