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A368057 Number of degree 4 number fields unramified outside the first n prime numbers. 2

%I #8 Dec 10 2023 08:25:31

%S 7,62,379,2165,12315,67887

%N Number of degree 4 number fields unramified outside the first n prime numbers.

%H J. W. Jones and D. P. Roberts, <a href="https://doi.org/10.1112/S1461157014000424">A database of number fields</a>, LMS J. Comput. Math. 17 (2014), no. 1, 595-618.

%e For n = 1, the a(1) = 7 degree 4 number fields unramified away from {2} can be given by Q(a) where a is a root of x^4 + 1, x^4 - 2x^2 + 2, x^4 - 2x^2 - 1, x^4 - 2, x^4 + 2, x^4 - 4x^2 + 2, or x^4 + 4x^2 + 2.

%Y Cf. A126646 (degree 2), A367669 (degree 3).

%K nonn,more

%O 1,1

%A _Robin Visser_, Dec 09 2023

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Last modified August 27 03:11 EDT 2024. Contains 375462 sequences. (Running on oeis4.)