What is special about the divisors of 24?
(Apr 27, 2011)

What is an interesting number theoretic or a combinatorial characterisation of the divisors of 24 amongst all positive integers? In this paper I will provide one characterisation in terms of modular multiplication tables. This idea evolved interestingly from a question raised by a student in my elementary number theory class. I will give the characterisation and then provide 5 different proofs using various techniques: Chinese remainder theorem, structure theory of units, Dirichlet's theorem on primes in an arithmetic progression, Bertrand-Chebyshev theorem, and results of Erdos and Ramanujan on the pi(x) function.
  • @vch
This publication has not been reviewed yet.

rating distribution
average user rating0.0 out of 5.0 based on 0 reviews
    Please log in to take part in the discussion (add own reviews or comments).