factorization_of_integers_of_special_forms

an±1 for a=2,3,5,6,7,10,11,12 and large exponents n [http://homes.cerias.purdue.edu/~ssw/cun/index.html]
an±1 for a≤13 and a not a perfect number [http://wwwmaths.anu.edu.au/~brent/factors.html]
2n±1 for 1200<n<10000 [http://www.euronet.nl/users/bota/medium-p.htm]
10n±1 for n≤100 [http://www.swox.com/gmp/repunit.html]
pp±1 where p is a prime number and p<180. [http://homes.cerias.purdue.edu/~ssw/bell]
22n+1 (Fermat numbers) [http://www.prothsearch.net/fermat.html]
23n±1 [http://www.alpertron.com.ar/MODFERM.HTM]
Fibonacci numbers (Fn) and Lucas numbers (Ln) for n<10000 [http://home.att.net/~blair.kelly/mathematics/fibonacci/]
n*2n±1 (Cullen and Woodall numbers) [http://www.leyland.vispa.com/numth/factorization/cullen_woodall/cw.htm]
Euclid's numbers [http://en.wikipedia.org/wiki/Sylvester's_sequence#Divisibility_and_factorizations]