Recent content by kebz33

  1. K

    Beginners books on number theory?

    I would recommend Number Theory by George E. Andrews. It's great for a general introduction. While there aren't *that* many examples, there are hints and solutions to selected exercises. Additionally, at around $20CDN, if you find the book doesn't suite your needs, at least you didn't break the...
  2. K

    What Are Perfect Numbers and Why Are They So Mysterious?

    thx for the link! it's interesting that so much can be known about something that may or may not exist so far I have been unable to find anything on Stuyvaert proof, or any other documentation, other than what you stated . Maybe I'll make a trip to the library if I'm feeling motivated.
  3. K

    What Are Perfect Numbers and Why Are They So Mysterious?

    I have an assignment free night and thought I would make a post that hopefully hasn't been made before. A discussion of perfect numbers: A positive integer n is said to be perfect if n is equal to the sum of all its positive divisors, not including n itself Alternatively, if σ(n)...
  4. K

    How Does the Rule of 72 Relate to Doubling Time in Investments?

    i edited my post somewhat to make things more clear :smile: actually its ln(2) which equals .6931 apprx. which is already close to .72 as it is.
  5. K

    How Does the Rule of 72 Relate to Doubling Time in Investments?

    we want to double p, our initial investment. then (pardon my crappy notation): p(1+i)^t = 2p where i is our rate of interest. we can solve for t and get t=[ln(2)/i]*[i/ln(1+i)] so with this formula, it is a little easier to see what is going on: (1/i)ln(2)*[i/ln(1+i)] =appx .72 so...
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