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Introductory Prime Number Theory Resources
Notes and links compiled by Mark Watkins on the relation of the Riemann zeta function to the distribution of prime numbers.
www.maths.ex.ac.uk
Prime number theory.
www.geocities.com
Computational number theory, prime numbers.
members.aon.at
St. Patrick's College, Dublin. Computational number theory, primes and factoring.
www.spd.dcu.ie
Research in number theory, prime numbers and parity of arithmetic functions. Includes primality testing theorems and prime number chains. In English and French.
ourworld.compuserve.com
Chebyshev - Pafnuty Lvovich Chebyshev (1821-1894)
Work on prime numbers included the determination of the number of primes not exceeding a given number, wrote an important book on the theory of congruences, proved that there was always at least one prime between n and 2n for n > 3.
www-history.mcs.st-and.ac.uk
Category: Science > Math > History > People
Hungarian Academy of Sciences. Analytic number theory, distribution of prime numbers, and sieve methods. Curriculum vitae and list of publications.
www.renyi.hu
Introductory text on the theory of prime numbers and number fields. Contains proofs of some important theorems including the fundamental theorem of arithmetic. (PDF)
www.maths.tcd.ie
Case Western Reserve University. Analytic number theory: distribution of primes and pair correlation of zeros of the Riemann zeta function; elementary and combinatorial number theory.
home.cwru.edu
University of Plovdiv "Paisii Hilendarski". Analytic number theory: additive prime number theory, distribution of primes, exponential sums, sieve methods, Riemann zeta-function and Dirichlet L-functions.
geocities.com
University of Tennessee at Martin. Number theory, especially primality conditions. Prime pages, links and other resources.
www.utm.edu
University of Illinois at Urbana-Champaign. Analytic number theory, distribution of primes, arithmetic functions, sieve methods. Publications.
www.math.uiuc.edu
University of Bristol. Prime numbers, the Riemann zeta function, L-functions, and random matrix theory.
www.maths.bris.ac.uk
Least Primitive Root of Prime Numbers
Empirical and statistical results showing the smallest base required to prove a number is prime. Includes theory and conjectures.
www.ieeta.pt
Category: Science > Math > Number Theory > Prime Numbers > Primality Tests
Basic Library List in Number Theory
Compiled by the Mathematical Association of America (MAA). This site sub-divides Number Theory into Introductory Texts, Expositions, Elementary Monographs, Primes and Factors, Algebraic Number Theory, Analytic Number Theory, Modular Forms, P-adic Fields, Special Topics, Cryptography, History and Biography and Classic Works.
www.maa.org