| Directory > Science > Math > Number Theory > Factoring > Tables Factorizations of Repunit Numbers
Tables available in text and compressed format.
http://www.h4.dion.ne.jp/~rep/
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Repunit Primes and Factors
Factors of 10^n +- 1 for n<1000.
http://www.swox.com/gmp/repunit.html
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Factors of Numbers near Googolplex
This table includes all known prime factors of the numbers in the range 10^(10^100) to
10^(10^100)+999, including more than 57000 prime factors of googolplex + 10.
http://www.alpertron.com.ar/googol.htm
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Factors of Modified Fermat Numbers
Factors of numbers of the form 4^(3^n)+2^(3^n)+1 and 4^(3^n)-2^(3^n)+1.
http://www.alpertron.com.ar/MODFERM.HTM
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Brilliant Numbers
Tables of maximal and minimal numbers with two, three or four prime factors of the same length (in
decimal notation).
http://www.alpertron.com.ar/BRILLIANT.HTM
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Cullen and Woodall numbers
Cullen numbers are of the form n.2^n + 1 and Woodall numbers are n.2^n - 1. These tables of Cullen
and Woodall numbers include factorizations for n up to 1000.
http://research.microsoft.com/~pleyland/factorization/cullen_woodall/cw.htm
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Factors of 2^n + or - 1
Factorizations for values of n up to 10000, extending the results of the Cunningham Project.
http://www.euronet.nl/users/bota/medium-p.htm
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Smarandache Factors
Micha Fleuren's summary of the state of factorization of Smarandache and Reverse Smarandache
numbers.
http://www.sci.kun.nl/sigma/Persoonlijk/michaf/ecm/
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Prime Factorization of Cyclotomic Numbers
Professor Mitsuo Morimoto extends the factor tables of cyclotomic numbers for values of phi(n) up
to 120.
http://science.icu.ac.jp/~morimoto/enbunsu/table.html
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Fermat Factoring Status
Compiled by Wilfrid Keller, lists the known prime factors and complete factorizations of Fermat
numbers.
http://www.prothsearch.net/fermat.html
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Factorization Results
Tables, summaries, and links to many factoring endeavors, including primorials, factorials, and
cyclotomic polynomials. Includes theorems and descriptions behind each project.
http://www.asahi-net.or.jp/~KC2H-MSM/mathland/matha1/index.htm
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Fibonacci and Lucas Factorizations
Tables of known factorizations of the first 10,000 Fibonacci and Lucas numbers.
http://home.att.net/~blair.kelly/mathematics/fibonacci/
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Factor Tables
Richard Brent's tables extend the scope of the Cunningham project (factoring b^n+-1) to all
applicable bases b less than 100, plus some higher bases.
http://web.comlab.ox.ac.uk/oucl/work/richard.brent/factors.html
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Factorization of Cyclotomic Numbers
Hisanori Mishima is coordinating the search and producing tables of factorizations of cyclotomic
numbers for values of phi(n) less than 48.
http://www.asahi-net.or.jp/~KC2H-MSM/cn/
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Cunningham Project
Current status of the project to factor numbers of the form b^n +/- 1, b = 2, 3, 5, 6, 7, 10, 11,
and 12. Maintained by Samuel S. Wagstaff, jr.
http://www.cerias.purdue.edu/homes/ssw/cun/
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Factors
Lists the factors of every single number up to 600, for quick reference and as a resource for
students.
http://factorzone.tripod.com/factors.htm
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