login
Largest prime factor of A000058(n) = A007018(n) + 1 (Sylvester's sequence).
2

%I #19 Oct 29 2024 03:44:39

%S 2,3,7,43,139,3263443,31051,6212157481,77366930214021991992277,

%T 35874380272246624152764569191134894955972560447869169859142453622851

%N Largest prime factor of A000058(n) = A007018(n) + 1 (Sylvester's sequence).

%H Amiram Eldar, <a href="/A367020/b367020.txt">Table of n, a(n) for n = 0..10</a>

%H Filip Saidak, <a href="http://dx.doi.org/10.2307/27642094">A new proof of Euclid's theorem</a>, Amer. Math. Monthly, 113:10 (2006) 937-938.

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Sylvester%27s_sequence#Divisibility_and_factorizations">Sylvester's sequence: Divisibility and factorizations</a>.

%F a(n) = A006530(A000058(n)).

%Y Cf. A000058, A007018, A006530, A091335, A323605.

%K nonn,changed

%O 0,1

%A _Sean A. Irvine_, Nov 01 2023