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| * 2^n-1 where n is odd * 2^n+1 where n is odd * 2^n+1 where n=4k-2 |
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/]