Tables (Number Theory)

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Pseudoprimes and Carmichael Numbers Tables of the Fermat pseudoprimes base 2 up to 10^13 and Carmichael numbers up to 10^17. http://www.chalcedon.demon.co.uk/carpsp.html The First 498 Bernoulli Numbers A Project Gutenberg etext. http://digital.library.upenn.edu/webbin/gutbook/lookup?num=2586 Multiply Perfect Numbers Over 2000 multiperfect numbers sorted by numerical value and by factorisation. ftp://ftp.cs.arizona.edu/xkernel/rcs/mpfn.html Curves of Genus 2 FTP site maintained by Victor Flynn. Formulae for Jacobian arithmetic and Maple algorithms. ftp://ftp.liv.ac.uk/pub/genus2/ Tables and Computations Browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms. http://www.math.utexas.edu/users/tornaria/cnt/ Algorithmic Number Theory: Tables and Links Compiled by Noam Elkies. http://www.math.harvard.edu/~elkies/compnt.html Cubic Field Extensions Tables and results on cubic number fields by Daniel A. Mayer. http://www.algebra.at/CubicNumberFields.htm Table of Masses of 32-dimensional Even Unimodular Lattices With any given root system. Oliver King. http://www.math.berkeley.edu/~king/rootmass.txt 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. http://igd.univ-lyon1.fr/~roblot/tables.html 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 re http://www.trnicely.net/twins/twins2.html Zeroes of the Riemann Zeta Function By Andrew Odlyzko. The first 100,000 to 8 places, the first 1000 to 1000 places. http://www.dtc.umn.edu/~odlyzko/zeta_tables/ Carmichael and Perrin The 150 Carmichael numbers out of 246683 up to 10^16 that are Perrin pseudoprimes. http://www.ai.univie.ac.at/carmichael.html Carmichael Numbers and Lehmer's Problem Carmichael numbers n up to 10^9 together with phi(n), (n-1)/phi(n) and the factorization of n. Compiled by Jan Kristian Haugland. http://home.no.net/zamunda/carmichael.txt The First 100,000 Prime Numbers A Project Gutenberg etext. http://digital.library.upenn.edu/webbin/gutbook/lookup?num=65 Algorithms for Solving Index Form Equations and Computing Power Integral Bases Lists of results, description of algorithms and tables of numerical data, by István Gaál. http://www.math.klte.hu/~igaal/algorithm.html Number Fields with Prescribed Ramification Number fields of degree up to seven ramified at only a few small primes. http://math.la.asu.edu/~jj/numberfields/ Imaginary Quadratic Fields Tables of the fields with class number at most 23. http://www.numbertheory.org/classnos/ Tables of Primes Primes to 19 million; twin primes to 394 million; quadruple primes to 500 million. http://mathematical.com/primetables.html Practical Numbers A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Guiseppe Melfi. http://www.unine.ch/statistics/melfi/pratica.html The Value of Zeta(3) to 1,000,000 Decimal Digits A Project Gutenberg etext. http://digital.library.upenn.edu/webbin/gutbook/lookup?num=2583 Fermat Quotients Divisible by p Wilfrid Keller and Jörg Richstein. A complete list of solutions (a, p) for odd prime bases a &lt; 1000 and primes p &lt; 10^11: for the single base a = 5 the larger interval p &lt; 2^38. http://www.informatik.uni-giessen.de/staff/richstein/cnth/FermatQuotient.html Database for Polynomials over the Rationals 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 s http://www.iwr.uni-heidelberg.de/groups/compalg/minimum/minimum.html Number Field Tables FTP site at the University of Bordeaux. Fields of degree up to 7. ftp://megrez.math.u-bordeaux.fr/pub/numberfields Database of Local Fields By John W. Jones and David P. Roberts. Tables of low degree extensions of Qp, for small p. http://math.asu.edu/~jj/localfields/ Factorization Tables Tables of the factorization of sigma(n). http://www-staff.maths.uts.edu.au/~rons/fact/fact.htm Bernoulli Computations Irregular primes and relative class numbers. Irregular pairs (and Vandiver and cyclotomic residues) for primes up to 8 million. Compiled by Amin Shokrollahi. http://www.shokrollahi.com/amin/TAB.html 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 &lt; k &lt; p. http://users.utu.fi/taumets/fermat/fermat.htm Fermat Near-misses Noam Elkies. Approximate solutions of x^n + y^n = z^n in integers with 0 < x <= y < z < 2^23 and n in [4,20]. http://www.math.harvard.edu/~elkies/ferm.html Genus-2 Curves with Small Odd Discriminant FTP site by Michael Stoll, with MAGMA code. http://www.faculty.iu-bremen.de/stoll/data/ Dedekind Zeta Functions Tabulated by Eyal Goren using Pari. http://www.math.mcgill.ca/goren/ZetaValues/zeta.html The First 28,915 Odd Primes Tabulated using a simple C program. http://www.newdream.net/~sage/old/numbers/primeodd.htm 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. http://www.trnicely.net/twins/tabpi2.html

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