## Jim Howell’s Math Page

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### Tables of Factors

The Internet has many tables of factors of various kinds of numbers. For example, the Cunningham Project finds factors of numbers of the form a^n-1 and a^n+1, where “a” is from 2 to 12, and “n” goes up to some limit, so that the numbers to be factored are of some reasonable size, say under 200 digits or so.

Links to some tables of factors.

The following sites have links to several tables of factors. I have factorization tables for the following types of numbers:
Hisanori Mishima also has a table for prime numbers strung together.

• The “Great Internet Mersenne Prime Search” (GIMPS) has found several previously unknown Mersenne Primes. The most recent (but not largest) one is 2^42,643,801-1, found on April 12th, 2009. See my prime page for details.
• A list of Mersenne Primes.
• Lots of information on prime numbers can be found at the Prime Pages.
• The Prime Glossary has definitions and explanations of many terms that are related to prime numbers.
• The Prime Puzzles and Problems Connection has lots of puzzles related to prime numbers. All are invited to contribute solutions. There is a new puzzle every week.

• Paul Zimmermann’s ECMNET uses the Elliptic Curve Method to find factors of numbers. He also has links to many other mathematical sites.
• NFSNet is (or was) a distributed computing project that uses the Number Field Sieve method to factor various numbers.
• How do you find the prime factors of a number? My factoring page has a list of several methods of factoring by computer, and a start at explaining how some of these methods work.
• FactorWorld is another web site about factoring.

• Jim Loy has an extensive website about a variety of subjects, including math.

• A website where you can compute the n-th prime.

• The Clay Mathematics Institute is offering \$1,000,000 for the solution of each of seven math problems. Good luck to any potential solvers!

• Here are biographies of many mathematicians.

• Some recent papers (“e-prints”) in the field of number theory.

Send me e-mail at jrhowell@ix.netcom.com