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Top: Science: Math: Number_Theory: Tables:
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» A Database for Number Fields - By Jürgen Klüners and Gunter Malle. Polynomials for all transitive groups up to degree 15, for most of the possible combinations of signature and Galois group. Up to degree 7 the fields with minimal (absolute) discriminant with given Galois group and signature are included.
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» Enumeration of Twin Primes and Brun's Constant - Enumeration of the twin primes, and the sum of their reciprocals, to 1.6 × 10^15. An improved estimate is obtained for Brun's constant, B2 = 1.90216 05824 ± 0.00000 00030. Error analysis is presented to support the opinion that the stated error bound represents a 99 % confidence level.
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» Extended Counts of Twin Primes - By Thomas Nicely. Counts in decades up to 10^12 then in steps of 10^12 up to 3.10^15, giving 3,310,517,800,844 pairs.
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- Multiply Perfect Numbers - Over 2000 multiperfect numbers sorted by numerical value and by factorisation.
- Number Field Tables - FTP site at the University of Bordeaux. Fields of degree up to 7.
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» The Positive Integers - Information about the positive integers, with counts of some number-theoretic functions, maintained by Saqib Kadri.
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» Practical Numbers - A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Giuseppe Melfi.
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» Tables and Computations - Browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms.
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» Tables of Number Fields - Hilbert class field of totally real fields of degree 2, 3 and 4; Totally real fields with small root discriminant; Totally real quintic dihedral fields. By Xavier-François Roblot.
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» Vanishing Fermat Quotients - R. Ernvall and T. Metsänkylä. Tables of the pairs (p,k) such that the Fermat quotient q(k) = (k^{p-1}-1)/p vanishes mod p. The tables cover the primes p up to one million and, for each prime, the range 1 < k < p.
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