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Largest prime factor of 11^n+1 (A034524).
7

%I #29 Oct 11 2023 16:37:03

%S 2,3,61,37,7321,13421,1117,1623931,6304673,590077,212601841,58367,

%T 20113,59583967,55527473,7537711,447600088289,2218331,3138426605161,

%U 1390636259,1120648576818041,3421169496361,2649263870814793

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

%H <a href="/A062308/b062308.txt">Table of n, a(n) for n = 0..325</a>

%F a(n) = A006530(A034524(n)). - _Vincenzo Librandi_, Jul 12 2016

%t Table[FactorInteger[11^n + 1][[-1, 1]], {n, 0, 20}] (* _Vincenzo Librandi_, Jul 12 2016 *)

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

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

%o (Magma) [Maximum(PrimeDivisors(11^n+1)): n in [0..40]]; // _Vincenzo Librandi_, Jul 12 2016

%Y Cf. A006530, A034524.

%Y Cf. similar sequences listed in A274903.

%K nonn

%O 0,1

%A _Jason Earls_, Jul 12 2001

%E Terms to a(80) in b-file from _Harry J. Smith_, Jun 01 2010

%E a(81)-a(301) in b-file from _Amiram Eldar_, Feb 08 2020

%E a(302)-a(325) in b-file from _Max Alekseyev_, Apr 25 2022, Oct 11 2023