Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Post-office Problem for n>2

  1. Jan 15, 2012 #1

    Bacle2

    User Avatar
    Science Advisor

    Hi, All:

    I was hoping someone would know a source for the Post-office, say POP problem, n>2.

    For n=2, POP asks, given a pair of positive integers p, q, with (p,q)=1, to find the largest

    positive integer M that cannot be written as a nonnegative combination of p,q (so, if p,q

    are resp. the values of stamps, M is the largest-priced of a package that cannot be

    paid-for with p-stamps and q-stamps. ). For n=2, this number is (p-1)(q-1)-1 .

    Proof is not too hard.

    Anyway, for n>2 we have an n-ple (x1 x2,...,xn)

    of relatively-prime positive integers , and we want to find M . I don't even know the

    results for n=3 . Any sources, refs? Thanks in Advance.


    Anyway, for n=3, we have a tri
     
  2. jcsd
  3. Jan 16, 2012 #2
  4. Jan 16, 2012 #3

    Bacle2

    User Avatar
    Science Advisor

    Nice.Thanks for the link.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Post-office Problem for n>2
  1. 2^n+1 = m^2 (Replies: 2)

  2. Summation of n^2 (Replies: 5)

Loading...