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a(n) is the number of transitive Galois groups for polynomials of degree p = prime(n).
5

%I #16 Sep 08 2022 08:45:55

%S 1,2,5,7,8,9,10,8,7,8,12,11,10,10,6,8,6,14,10,10,16,10,6,10,14,11,10,

%T 6,14,12,15,10,10,10,8,14,14,12,6,8,6,20,10,16,11,14,18,10,6,14,10,10,

%U 22,10,15,6,8,18,14,18,10,8,15,10,18,8,18,22,6,14,14,6,10,14,18,6,8,20,17,18,10,26,10,22,10,10,16,18,14,18,6,6,14,14,10,6,8,18,14,26,18,8,6,10,18,23,6,12,10,26,10,20,18,10

%N a(n) is the number of transitive Galois groups for polynomials of degree p = prime(n).

%H Artur Jasinski, <a href="/A186277/b186277.txt">Table of n, a(n) for n = 1..367</a>

%H Artur Jasinski, <a href="/A186277/a186277_1.txt">367 of first terms in format n:n-th prime:a(n):</a>

%F a(n) = A002106(prime(n)).

%o (Magma) [NumberOfPrimitiveGroups(NthPrime(i)) : i in [1..100]]; // _Vincenzo Librandi_, Dec 31 2019

%Y Cf. A002106.

%K nonn

%O 1,2

%A _Artur Jasinski_, Feb 16 2011