A158816 Prime factors of 2^843 - 1

7, 80929, 1390916281, 2475486361, 48009215293052652841860443273079338843737271906291675944391068955229998769420319, 626322472637042112379617556574437460372478130091490111806135154280070248067062629972139895896953692975358576879266688023648639640273675162065398163911

Offset

1,1

Comments

The 265 bit factor 48009215293052652841860443273079338843737271906291675944391068955229998769420319 was found in less than 30 seconds by Zhenxiang Zhang's method using a 2GHz Athlon. The entire factorization was completed in 47 seconds.

Links

Table of n, a(n) for n=1..6.

Zhenxiang Zhang, Using Lucas Sequences to Factor Large Integers Near Group Orders, 1999

Crossrefs

Cf. A000040, A000225

Sequence in context: A194194 A110719 A068162 * A173839 A122000 A291906

Adjacent sequences: A158813 A158814 A158815 * A158817 A158818 A158819

Keyword

fini,full,nonn

Author

Reikku Kulon, Mar 27 2009

Status

approved