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

Author

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

Keywords

• nonn
• more

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

Examples

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

Links

• Chris Caldwell, Mersenne primes

Crossrefs

Cf. A000040, A003010, A000668, A002812.

Extensions

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