Recent content by Joseph Fermat

  1. J

    Graduate A Possible Proof for Brocard's Problem

    For approximately the last two years, I have been working off and on for a proof of whether Brocard's problem was finite and what it's solutions were. Brocard's problem refers to the question as to whether the following equation, [SIZE="4"]n!+1=m2 possesses a finite number of solutions...
  2. J

    Graduate Could the new particle @ CERN be a massive graviton?

    I was listening to their announcement and the evidence seems to point to the boson being scalar. The idea of multiple massed Gravitons is an interesting idea though.
  3. J

    Graduate How can the Higgs Boson have a mass?

    The Higgs Boson doesn't cause mass. The Higgs field does. The boson is just sort of a particle that results from traveling through the Higgs field. Thats how it was explained to me.
  4. J

    Undergrad Which Book Should I Start With for Learning Number Theory?

    It doesn't really teach you a lot of mathematics, but Fermat's Enigma by Simon Singh. It is really engaging and helps to explain the history of some of the more famous topics in number theory.
  5. J

    Graduate Consecutive Numbers in the Fibbonacci Sequence and Sums of Two Squares

    Could you show examples for these conjectures. The way you wrote them is rather difficult to understand. They seem to be very interesting.
  6. J

    Graduate Do Quasiperfect Numbers Really Exist?

    Which would mean that my proof is fallous.:redface: Oh, well back to the drawing board. Anyone have any ideas where to go from here. Any help would be appreciated.
  7. J

    Graduate Do Quasiperfect Numbers Really Exist?

    A Quasiperfect number is any number for which the sum of it's divisors is equal to one minus twice the number, or a number where the following form is true, [SIZE="4"]σ(n)=2n+1 One of the well known and most difficult questions in mathematics is whether such numbers exist at all. I have...