A062308 Largest prime factor of 11^n+1 (A034524).

2, 3, 61, 37, 7321, 13421, 1117, 1623931, 6304673, 590077, 212601841, 58367, 20113, 59583967, 55527473, 7537711, 447600088289, 2218331, 3138426605161, 1390636259, 1120648576818041, 3421169496361, 2649263870814793

Offset: 0

Author

Jason Earls, Jul 12 2001

Keywords

• nonn

Links

• Table of n, a(n) for n = 0..325

Crossrefs

Cf. A006530, A034524.

Cf. similar sequences listed in A274903.

Programs

Magma

[Maximum(PrimeDivisors(11^n+1)): n in [0..40]]; // Vincenzo Librandi, Jul 12 2016

Mathematica

Table[FactorInteger[11^n + 1][[-1, 1]], {n, 0, 20}] (* Vincenzo Librandi, Jul 12 2016 *)

PARI

for(n=0,22,print(factor(11^n+1)))

PARI

{ for (n=0, 80, f=factor(11^n + 1)~; write("b062308.txt", n, " ", f[1, length(f)]) ) } \\ Harry J. Smith, Aug 04 2009

Formula

a(n) = A006530(A034524(n)). - Vincenzo Librandi, Jul 12 2016

Extensions

Terms to a(80) in b-file from Harry J. Smith, Jun 01 2010

a(81)-a(301) in b-file from Amiram Eldar, Feb 08 2020

a(302)-a(325) in b-file from Max Alekseyev, Apr 25 2022, Oct 11 2023