Date: 12/24/97 at 15:16:44 From: ALee256410 Subject: Twin primes I'm a high school senior in Maryland. This year I am doing an independent research on twin primes. Do you know if there are any researches or studies being conducted on this topic? Thank you for your time. Sincerely, Austin Lee
Date: 01/10/98 at 11:00:01 From: Doctor Nick Subject: Re: Twin primes Hi Austin, Twin primes are a very interesting area of investigation. A lot of research continues on them still. The big question, whether there are infinitely many of them, is still unsolved. If you have web access, try this page: http://www.astro.virginia.edu/~eww6n/math/TwinPrimes.html which has lots of neat information on twin primes. You should also try your library (you might need to go to a university or college library) for the following books, which you should find quite helpful: Ribenboim, P.; The Book of Prime Number Records, 2nd ed. New York: Springer-Verlag, pp. 199-204, 1989. Guy, R. K.; Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 19-23, 1994. These are both great books that cover lots of interesting questions about primes. They are also both quite up to date. You also should look at Dickson, L. E. History of the Theory of Numbers, vol. 1: Divisibility and Primality. New York: Chelsea, 1952. This book is part of a set of books covering all number theory up to 1900. It's a great place to start looking for the history of any problem in number theory. Don't get too discouraged by the difficult mathematics involved. Research into twin primes is extremely complicated, at least on the graduate school level. For now, I'd suggest reading about what has been determined, the names of the people involved, and what the big open questions are. Good luck, and have fun. -Doctor Nick, The Math Forum Check out our web site! http://mathforum.org/dr.math/
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