A186277 a(n) is the number of transitive Galois groups for polynomials of degree p = prime(n).

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, 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, 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

Offset: 1

Author

Artur Jasinski, Feb 16 2011

Keywords

• nonn

Links

• Artur Jasinski, Table of n, a(n) for n = 1..367
• Artur Jasinski, 367 of first terms in format n:n-th prime:a(n):

Crossrefs

Cf. A002106.

Programs

Magma

[NumberOfPrimitiveGroups(NthPrime(i)) : i in [1..100]]; // Vincenzo Librandi, Dec 31 2019

Formula

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