Recent content by nkpstn

ah I see. Although I do believe referring to complex numbers is over complicating it. I've also found that the only if part of my conjecture is untrue with a counterexample of 73. (I checked all the way to 71 before the first post) I guess there is no more purpose for this thread. Though I...

I'm pretty sure the if part of this conjecture involves proving that 8gx - g - x cannot be a power of two. 2^k+1/u(8x-1) = m; in integers Then 2^k = um(8x-1) - 1 for this to possibly be true (um) must be of form 8g-1 because subtracting a number that isn't divisible by 8 from a number that...

your argument simply put is that 2^k+1 wouldn't be divisible by any even number, indeed this is correct. I forgot to specify that n here must also be odd.

It seems that there exists no integer k such that 2^k+1 is divisible by a positive integer n, if and only if n is of the form u(8x-1) (where u and x are also both positive integers). How could this be proved/disproved?

Is it possible for a particle to exist according to one reference frame and simultaneously not exist according to another? If energy is relative, can a collision between two particles have enough energy to produce new particles according to its own reference frame but not have said amount of...