Math Is Fun Forum

I don't get it. Why would.................

prove that all possible prime factors will =mn+1..........................?

I think the meaning of life is to survive and have children. Taking my theory from Darwin- "survival of the fittest". It's good to be alive right? Right. So the only reason you are alive is because your ancestors survived and had children. (If they hadn't done that you wouldn't be here). Therefore for your future offsprings life you must survive and have children. Therefore the purpose of life in general is to survive and have children.

Thanks so much!

Now I can continue with my mersenne prime theorem.

 

A= all the primes below

    multiplied together
If (A-p) and p do not share a common factor then p = prime.

I realise my first post is incomplete so I have made some amendments...............

A= 3, 15, 105, 1155, 15015 x next prime in the series................
p= prime or not factorable by any primes in A

another p

and

a gap of 2, therefore a p+1 can NOT be a prime because p+2 can not be prime

and

a gap of 4, therefore a gap of 4 can not occur because p+2 can not be prime
OR

and

a gap of 4, therefore a gap of 4 can not occur because p+1 can not be prime
With a gap of 4, one number minused from A will be divisible by 4 or 2. If one is divisible by a

higher than 4, the other can't be because the gap would have to be higher than 4 for the remainders to match. Therefore we can express a gap of 4 using the above equations, where if one number is divisible by a

greater than 4 this will be p+1 an even no. and p is what was divisible by 4 but no higher.

and

a gap of 8, therefore a gap of 8 can not occur because p+4 can not be prime

and

a gap of 8, therefore a gap of 8 can not occur because p+2 can not be prime

and

a gap of 8, therefore a gap of 8 can not occur because p+1 can not be prime
With a gap of 8, one number minused from A will be divisible by 2,4 or 8. If one is divisible by a

higher than 8, the other can't be because the gap would have to be higher than 8 for the remainders to match. Therefore we can express a gap of 8 using the above equations, where if one number is divisible by a

greater than 8 this will be p+1 an even no. and p is what is divisible by 8 but no higher.
Divide A by 3 and multiply by 2

another p

and

a gap of 6, therefore a gap of 6 can not occur because p+2 can not be prime
With a gap of 6, one number minused from A will be divisible by 3. If one is divisible by a

higher than 3, the other can't be because the gap would have to be higher than 6 for the remainders to match. Therefore we can express a gap of 6 using the above equation, where if one number is divisible by a

greater than 3 this will be p+2 and p is what is divisible by 3 but no higher.
Divide A by 5 and multiply by 2

another p

and

a gap of 10, therefore a gap of 10 can not occur because p+2 can not be prime
With a gap of 10, one number minused from A will be divisible by 5. If one is divisible by a

higher than 5, the other can't be because the gap would have to be higher than 10 for the remainders to match. Therefore we can express a gap of 10 using the above equations, where if one number is divisible by a

greater than 5 this will be p+2 and p is what is divisible by 5 but no higher.

..........And so on until a gap that must be >2 becomes a gap that must be >infinity, there therefore must be an infinite No. of twin primes.

Thanks for the post. I have checked out the website. Very interesting!

I still don't get this post..................? Is 1 modulo 10 a mathematical way of saying, ends in 1.....? I was trying to prove x is composite not prime......? a or b ending in 1 wouldn't guarantee x is prime...?

Hi Bob,
          Thanks for looking at my posts. I will try to recreate it into simpler style and put it in an algorithm. Might take me a little while. Get back to you later................Primenumbers.