A186306 -id:A186306 - cp's OEIS frontend

A186307 Prime degrees of polynomials where records occur in A186277.

Original entry on oeis.org

2, 3, 5, 7, 11, 13, 17, 31, 61, 73, 181, 241, 421, 757, 1009, 1321, 1801, 2161

Offset: 1

Artur Jasinski, Feb 17 2011

nonn

Cf. A186277, A186306.

A185176 a(n) = maximal number of different Galois groups with that same order for polynomials of degree n.

Original entry on oeis.org

1, 1, 2, 1, 3, 1, 8, 4, 5, 1, 30, 1, 5, 5, 260, 1, 43, 1, 57, 7, 4, 1, 1930, 8, 10, 99, 93, 1, 223, 1

Offset: 2

Artur Jasinski, Feb 19 2011

For prime p, a(p)=1.
For nonprime n, the most frequently seen orders are:
= 4,
= 24,
= 32,
= 54,
= 200,
= 192,
= 2688,
= 360,
= 256,
= 1296,
= {5120,40000},
= 30618,
= 2420,
= 1536,
= {500,2500,12500},
= 4056,
= 4374,
= 114688,
= 24000000

			a(4)=2 because for polynomials of degree 4, there are two different groups of order 4.
a(20)=57 because for polynomials of degree 20, there are 57 different groups of order 5120 and 57 different groups of order 40000.

Cf. A002106, A177244, A186277, A186306, A186307, A186308.

cp's OEIS Frontend

A186307 Prime degrees of polynomials where records occur in A186277.

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A185176 a(n) = maximal number of different Galois groups with that same order for polynomials of degree n.

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