Unsolved Problems As of December 2002, 39 Mersenne Primes are known. There are thus 39 known evenperfect numbers. The following questions have not been answered to date http://www.math.utah.edu/~alfeld/math/conjectures.html
Extractions: Understanding Mathematics by Peter Alfeld, Department of Mathematics, University of Utah One of the things that turned me on to math were some simple sounding but unsolved problems that were easy for a high school student to understand. This page lists some of them. To understand them you need to understand the concept of a prime number A prime number is a natural number greater than 1 that can be divided evenly only by 1 and itself. Thus the first few prime numbers are You can see a longer list of prime numbers if you like. Named after the number theorist Christian Goldbach (1690-1764). The problem: is it possible to write every even number greater than 2 as the sum of two primes? The conjecture says "yes", but nobody knows. You can explore the Goldbach conjecture interactively with the Prime Machine applet.
List Of Number Theory Topics - Wikipedia, The Free Encyclopedia Formula for primes; Factorization RSA number. Fundamental theorem of arithmetic;Squarefree; perfect square; Power of two; Integer-valued polynomial. Fractions. http://en.wikipedia.org/wiki/List_of_number_theory_topics
Extractions: This is a list of number theory topics , by Wikipedia page. See also list of cryptology topics Table of contents 1 Factors 2 Fractions 3 Modular arithmetic 4 Primality tests and factorization ... edit Even and odd numbers edit Main article: Computational number theory Cousin prime ... edit edit NB Listing here is not pejorative , since many famous topics in number theory have origins in challenging problems posed purely for their own sake. See recreational mathematics edit edit edit edit Categories Number theory Views Personal tools Navigation Search Toolbox Other languages Deutsch This page was last modified 23:11, 31 May 2004.
