Math Is Fun Forum

Smallest solution for Pt=5

Another result for Pt=3

I agree but in this case it seems that the primes love to hang out with primes more than the odd numbers.

There is no apparent twin prime up to Pt=9 so far. The occurrence of the twin primes becoming scarce when the series are becoming larger.

Let P1=2 and Pt=3

Dear googol

p should be a prime whereas p=35=5x7, p=51=3x17, p=341=11x31

Basically 0/0 can be anything. Unless we tend to go beyond normal understanding of infinity, we can actually get 0/0=1. For example

let

Taking natural long on both sides yields

Then

If we could consider the "undefined" cancelling each other equal to zero.

Thus

We can argue like forever with this thing but this is how mathematics progresses Perhaps 0/0=An Apple:)

Extension into odd numbers instead of using primes

Where

Example

Dear Primenumbers, the idea of the equations is to get the largest primes or perhaps they simply non-existence as n goes into the infinity. There are several types of equations formed from the generalize equation (i.e. n=integers, n=primes, n=square numbers).

You get funny values when you take all the infinities as the same. Infinity as a concept gives rise to many problems like S=1-1+1-...infinity=1/2 because we tend to take all the infinities as the same like (1+infinity)=infinity. What is the value of infinity/infinity? I am more to the concept that the Infinity has an origin and point of reference. For example, if we had a source of light that could travel forever into the infinity and is set to travel today and the another one would be set to travel tomorrow, are they the same value when they reach infinity?

If they do have the same value, I can show you that Riemman zeta function

The journal has been accepted for publication in the Journal of Discrete Mathematical Sciences & Cryptography