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Home / Science / Math / Number Theory / Tables
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- Science/ Math/ Number Theory/ Elliptic Curves and Modular Forms/ Tables@ (16)
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- Science/ Math/ Number Theory/ Factoring/ Tables@ (14)
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Web Sites
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- Algorithmic Number Theory: Tables and Links - Compiled by Noam Elkies.
www.math.harvard.edu/~elkies/compnt.html
- 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.
www.shokrollahi.com/amin/TAB.html
- Carmichael and Perrin - The 150 Carmichael numbers out of 246683 up to 10^16 that are Perrin pseudoprimes.
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.
home.hia.no/~jkhaug00/carmichael.txt
- Curves of Genus 2 - FTP site maintained by Victor Flynn. Formulae for Jacobian arithmetic and Maple algorithms.
ftp://ftp.liv.ac.uk/pub/genus2
- 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 signature are included.
www.iwr.uni-heidelberg.de/groups/compalg/minimum/minimum.html
- Dedekind Zeta Functions - Tabulated by Eyal Goren using Pari.
www.math.mcgill.ca/goren/ZetaValues/zeta.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 represents a 99 % confidence level.
www.trnicely.net/twins/twins2.html
- 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.
www.trnicely.net/twins/tabpi2.html
- Factorization Tables - Tables of the factorization of sigma(n).
www-staff.maths.uts.edu.au/~rons/fact/fact.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].
www.math.harvard.edu/~elkies/ferm.html
- Fermat Quotients Divisible by p - Wilfrid Keller and Jörg Richstein. A complete list of solutions (a, p) for odd prime bases a < 1000 and primes p < 10^11: for the single base a = 5 the larger interval p < 2^38.
www.informatik.uni-giessen.de/staff/richstein/cnth/FermatQuotient.html
- Genus-2 Curves with Small Odd Discriminant - FTP site by Michael Stoll.
reh.math.uni-duesseldorf.de/~stoll/data
- Imaginary Quadratic Fields - Tables of the fields with class number at most 23.
www.numbertheory.org/classnos
- Index Form Equations and Power Integral Bases in Algebraic Number Fields - Lists of results, description of algorithms and tables of numerical data, by István Gaál.
neumann.math.klte.hu/~igaal/power.html
- Multiply Perfect Numbers - Over 2000 multiperfect numbers sorted by numerical value and by factorisation.
ftp://ftp.cs.arizona.edu/xkernel/rcs/mpfn.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
- Number Fields with Prescribed Ramification - Number fields of degree up to seven ramified at only a few small primes.
math.la.asu.edu/~jj/numberfields
- Practical Numbers - A number is practical if all smaller numbers are sums of distinct divisors. Tables compiled by Guiseppe Melfi.
www.unine.ch/statistics/melfi/pratica.html
- Pseudoprimes and Carmichael Numbers - Tables of the Fermat pseudoprimes base 2 up to 10^13 and Carmichael numbers up to 10^16.
www.chalcedon.demon.co.uk/carpsp.html
- Solutions to Mordell's Equation - Solutions to Y^2 = X^3 + k with k up to 10,000 in absolute value.
diana.math.uni-sb.de/~simath/MORDELL
- Table of Masses of 32-dimensional Even Unimodular Lattices - With any given root system. Oliver King.
www.math.berkeley.edu/~king/rootmass.txt
- Tables of Primes - Primes to 19 million; twin primes to 394 million; quadruple primes to 500 million.
mathematical.com/primetables.html
- The First 100,000 Prime Numbers - A Project Gutenberg etext.
digital.library.upenn.edu/webbin/gutbook/lookup?num=65
- The First 28,915 Odd Primes - Tabulated using a simple C program.
www.newdream.net/~sage/old/numbers/primeodd.htm
- The First 498 Bernoulli Numbers - A Project Gutenberg etext.
digital.library.upenn.edu/webbin/gutbook/lookup?num=2586
- The Value of Zeta(3) to 1,000,000 Decimal Digits - A Project Gutenberg etext.
digital.library.upenn.edu/webbin/gutbook/lookup?num=2583
- 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.
users.utu.fi/taumets/fermat/fermat.htm
- Zeroes of the Riemann Zeta Function - By Andrew Odlyzko. The first 100,000 to 8 places, the first 1000 to 1000 places.
www.dtc.umn.edu/~odlyzko/zeta_tables
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