101. 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

Understanding Mathematics by Peter Alfeld, Department of Mathematics, University of Utah Some Simple Unsolved Problems 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. Prime Number Problems 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. The Goldbach Conjecture. 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.

102. 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

List of number theory topics From Wikipedia, the free encyclopedia. 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 Factors Composite number Highly composite number Even and odd numbers Parity ... edit Primality tests and factorization Main article: Computational number theory Sieve of Eratosthenes Primality test Probabilistic algorithm ... Analytic number theory : additive problems Twin prime Twin prime conjecture Brun's constant Cousin prime ... edit Named primes Cullen prime Euler prime Fermat prime Mersenne prime ... edit Recreational topics 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 Integer sequence Fibonacci sequence Golden mean base ... edit Number sequences Figurate numbers Polygonal number Triangular number Square number ... edit Prime and related sequences Semiprime Almost prime Unique prime Factorial prime ... edit Magic squares, etc. Ulam spiral Magic star Magic square Prime reciprocal magic square ... Squaring the square edit Categories Number theory Views Article Discussion Edit History Personal tools Log in Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Special pages Other languages Deutsch This page was last modified 23:11, 31 May 2004.

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