Differences between revisions 16 and 21 (spanning 5 versions)
 ⇤ ← Revision 16 as of 2007-01-23 03:24:38 → Size: 767 Editor: TimothyClemans Comment: ← Revision 21 as of 2008-11-14 13:41:51 → ⇥ Size: 1009 Editor: localhost Comment: converted to 1.6 markup Deletions are marked like this. Additions are marked like this. Line 1: Line 1: 1. $a^n \pm 1$ for $a = 2, 3, 5, 6, 7, 10, 11, 12$ and large exponents n [http://homes.cerias.purdue.edu/~ssw/cun/index.html] * $a^n \pm 1$ for $a ≤ 13$ and $a$ not a perfect number [http://wwwmaths.anu.edu.au/~brent/factors.html] * $2^n \pm 1$ for $1200 < n < 10000$ [http://www.euronet.nl/users/bota/medium-p.htm] * $10^n \pm 1$ for $n ≤ 100$ [http://www.swox.com/gmp/repunit.html] * $p^p \pm 1$ where $p$ is a prime number and $p < 180$. [http://homes.cerias.purdue.edu/~ssw/bell] * $2^{2^n} + 1$ (Fermat numbers) [http://www.prothsearch.net/fermat.html] * $2^{3^n} \pm 1$ [http://www.alpertron.com.ar/MODFERM.HTM]  * Fibonacci numbers ($F_n$) and Lucas numbers ($L_n$) for $n < 10000$ [http://home.att.net/~blair.kelly/mathematics/fibonacci/] * $a^n \pm 1$ for $a = 2, 3, 5, 6, 7, 10, 11, 12$ and large exponents n [[http://homes.cerias.purdue.edu/~ssw/cun/index.html]] * $a^n \pm 1$ for $a ≤ 13$ and $a$ not a perfect number [[http://wwwmaths.anu.edu.au/~brent/factors.html]] * $2^n \pm 1$ for $1200 < n < 10000$ [[http://www.euronet.nl/users/bota/medium-p.htm]] * $10^n \pm 1$ for $n ≤ 100$ [[http://www.swox.com/gmp/repunit.html]] * $p^p \pm 1$ where $p$ is a prime number and $p < 180$. [[http://homes.cerias.purdue.edu/~ssw/bell]] * $2^{2^n} + 1$ (Fermat numbers) [[http://www.prothsearch.net/fermat.html]] * $2^{3^n} \pm 1$ [[http://www.alpertron.com.ar/MODFERM.HTM]]  * Fibonacci numbers ($F_n$) and Lucas numbers ($L_n$) for $n < 10000$ [[http://home.att.net/~blair.kelly/mathematics/fibonacci/]] * $n*2^n \pm 1$ (Cullen and Woodall numbers) [[http://www.leyland.vispa.com/numth/factorization/cullen_woodall/cw.htm]] * Euclid numbers [[http://en.wikipedia.org/wiki/Sylvester's_sequence#Divisibility_and_factorizations]]

factorization_of_integers_of_special_forms (last edited 2008-11-14 13:41:51 by localhost)