Recent content by PrimeExample

If Natural numbers do not stop, and Mn = 2n-1, how would you calculate massive natural numbers other than through Mersenne Primes? And you're more than welcome to try it on your calculator, please tell me if you get a different result. Maybe my calculator is just lying to me.

That's awesome so different infinites. But aren't Mersenne Primes always 2n-1? Is it possible that the Natural Numbers stop and Mersenne Primes continue it? You can see this if you make n = 1.0 x 10^100 You'd get Mn = 2(1.0 x 10^100-1) Or maybe it would be (1.0 x 10^100-1)^2 You can also do...

The number of primes is literally infinity, is what the equation shows. I tried understanding Graham's number but it's hard to grasp ahaha. Knuths notation as well. I understand that googol is miniscule, but infinity must contain all the numbers you mentioned earlier, right?

1e+300 x 1.0 x 10^100 is what I came to the conclusion of regarding primes search it like this then just click the next numbers in the sequence

Haha okay so imagine you have an infinite number of primes within natural numbers. How many primes are there outside of natural numbers? How many before? How many after? If primes are infinite, where does the infinite of natural numbers end? Are they the same infinite? So when we plot natural...

Well, yeah... R = {{0,0},{1,1},{2,2},...} is what I'm looking for, then. That's what I've been trying to say. Take that and multiply R by P where p0,p1,p2 = {{0,1}{1,2}{2,3}...} Something like this. I think I did that r(p+1) and r(p-1) for upper and lower limits? Edit, sorry I think it's this...

Thank you for the well thought-out response. In exchange, I hand you the next piece of the puzzle. x = N(p) y = R(p) Please, I would love to hear what you make of this.

Right. The properties aren't that special, though. They have to abide by the rules of natural numbers.

That's right... The Natural number line starts at 1, though, not 0. The whole number/rational number line starts at 0,0. The prime line starts at p1, 2. p2, 3. p3, 4, p4 5, p5 6 and then p6 becomes 5 again on the natural number line.

Sorry I think it's supposed to be R = {0,0 | 1,1 | 2,2...} To show rational numbers 0,0, 1,1, 2,2...

w = {0,0 | 1,1 | 2,2...} Let x = number of primes up to w+1 Let y = number of primes up to w-1 Now there's an empty prime box in the 0,0 slot not connected to anything. So I let x = p-1 and y = p+1 p = [p0, p1, p2...] Now p0 becomes 1,0/1 It can be either on or off. For the sake of...