A177879 The smallest odd prime factor of the Lucas-Lehmer number A003010(n).

7, 97, 31, 708158977, 127, 22783, 113210499946729046527, 12289, 1049179854847, 22427452848394140276947044397991663611794141183, 8191, 29687809

Offset

1,1

Comments

Does this sequence include all of the Mersenne primes greater than 3?

a(8)=12289; a(11)=8191, a(15)=131071.

Also the least prime factor of A002812(n). - Michel Marcus, Dec 16 2022

a(p-2) = 2^p-1 for all odd Mersenne exponents p in A000043? - Thomas Ordowski, Aug 12 2018

Links

Table of n, a(n) for n=1..12.

Chris Caldwell, Mersenne primes

Example

A003010(3)=37634 and its smallest odd prime factor is 31.

Crossrefs

Cf. A000040, A003010, A000668, A002812.

Sequence in context: A222834 A327676 A338075 * A090687 A116125 A142315

Adjacent sequences: A177876 A177877 A177878 * A177880 A177881 A177882

Keyword

nonn,more

Author

G. L. Honaker, Jr., Dec 13 2010

Extensions

More terms, using factordb, from Michel Marcus and Hugo Pfoertner, Dec 16 2022

Status

approved