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Primes to 19 million; twin primes to 394 million; quadruple primes to 500 million.
http://mathematical.com/primetables.html
Number fields of degree up to seven ramified at only a few small primes.
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Tables of Number Fields with Prescribed Ramification This site contains tables of number fields of low degree which are ramified at only a few small primes. Except where an entry is listed as preliminary we believe the tables to be exhaustive. Check back since the number of...FTP site maintained by Victor Flynn. Formulae for Jacobian arithmetic and Maple algorithms.
ftp://ftp.liv.ac.uk/pub/genus2/
FTP site at the University of Bordeaux. Fields of degree up to 7.
ftp://megrez.math.u-bordeaux.fr/pub/numberfields
Tabulated using a simple C program.
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The First 28,915 Odd Primes These were calculated in about 6 hours on a Pentium-90 with a fairly simply C program I wrote. The source can be found at the bottom of this document, but be warned it's not exactly divine. 8-3-95 Update: Woah! It...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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Counts of twin-prime pairs and Brun's constant to 5e15 This document may be reproduced and distributed for educational and non-profit purposes. Last updated 2302 EDT 7 August 2005. This is a table of the values of pi_2(x the count of twin-prime pairs x. The values in this table were...Over 2000 multiperfect numbers sorted by numerical value and by factorisation.
ftp://ftp.cs.arizona.edu/xkernel/rcs/mpfn.html
A Project Gutenberg etext.
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Project Gutenberg Edition of The First 100,000 Prime Numbers Download the etext in the format you prefer from Ibiblio or an alternate site (not all sites will have everything Format Alternate Sites Text IbiblioSailorArchive.orgUK MirrorAARNetZip IbiblioSailorArchive.orgUK MirrorAARNet Key to sites: Ibiblio Gutenberg.org (on Ibiblio: North Carolina, USA) Sailor Sailor.gutenberg.org...A Project Gutenberg etext.
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Project Gutenberg Edition of The First 498 Bernoulli Numbers Download the etext in the format you prefer from Ibiblio or an alternate site (not all sites will have everything Format Alternate Sites Text IbiblioSailorArchive.orgUK MirrorAARNetZip IbiblioSailorArchive.orgUK MirrorAARNet Key to sites: Ibiblio Gutenberg.org (on Ibiblio: North Carolina, USA) Sailor Sailor.gutenberg.org...A Project Gutenberg etext.
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Project Gutenberg Edition of The Value of Zeta(3) to 1,000,000 Decimal Digits Download the etext in the format you prefer from Ibiblio or an alternate site (not all sites will have everything Format Alternate Sites Text IbiblioSailorArchive.orgUK MirrorAARNetZip IbiblioSailorArchive.orgUK MirrorAARNet Key to sites: Ibiblio Gutenberg.org (on Ibiblio: North Carolina, USA) Sailor Sailor.gutenberg.org...Irregular primes and relative class numbers. Irregular pairs (and Vandiver and cyclotomic residues) for primes up to 8 million. Compiled by Amin Shokrollahi.
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Tables Relative class number computations Class number of subfields Partial factorization Statistics file I Statistics file II Quadratic subfields Bernoulli Computations The file Table.gz contains a (compressed) table of the irregular pairs (and Vandiver and cyclotomic residues) for all primes up...Tables of the factorization of sigma(n).
http://www-staff.maths.uts.edu.au/~rons/fact/fact.htm
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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Enumeration to 1.6*10^15 of the twin primes and Brun's constant This document may be freely reproduced and distributed for educational and non-profit purposes. Date of first release 16 July 1999. Last revised 0815 GMT 13 September 2004. The content of this document (other than the addendum, which was not part...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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Tables of vanishing Fermat quotients These are tables of the pairs (p,k) such that the Fermat quotient q(k k^{p-1}-1)/p vanishes mod p. Here p is an odd prime and k is an integer prime to p. The tables cover the primes p up to one...Tabulated by Eyal Goren using Pari.
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Zeta Values Explanations about how the values are calculated. Riemann's Zeta Function. The totally real subfield of a cyclotomic field. Of roots of unity of order 5 Of roots of unity of order 7 Of roots of unity of order 8 Of...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].
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Fermat near-misses Rational points near curves and small nonzero |x3-y2| via lattice reduction Lecture Notes in Computer Science 1838 (proceedings of ANTS-4, 2000; W.Bosma, ed 33-63 (math.NT/0005139 on the arXiv extended from z106 to z223=8388608, and with the threshold on the absolute...Compiled by Noam Elkies.
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Algorithmic Number Theory: Tables and Links Tables of solutions and other information concerning Diophantine equations [equations where the variables are constrained to be integers or rational numbers Trinomials with unusual Galois groups (x5-5x2-3, x5-5x2+15, x7-7x+3, x8+324x+567, etc Supporting computational data for Nils Bruin's theorem here) Elliptic...By Andrew Odlyzko. The first 100,000 to 8 places, the first 1000 to 1000 places.
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index.html Riemann zeta function text] Zeros number 10^21+1 through 10^21+10^4 of the Riemann zeta function text] Zeros number 10^22+1 through 10^22+10^4 of the Riemann zeta function text] Up Return to home page...The 150 Carmichael numbers out of 246683 up to 10^16 that are Perrin pseudoprimes.
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Carmichael 8-Jul-1996) Carmichael numbers out of 246683 up to 10^16 that are Perrin pseudoprimes 7045248121=821*1231*6971 7279379941=211*3571*9661 24306384961=19*53*79*89*3433 43234580143=223*5107*37963 52437986833=23*463*1453*3389 60518537641=23*89*991*29833 80829302401=89*199*463*9857 118805562613=829*9109*15733 144377609419=1319*9227*11863 165321688501=101*271*691*8741 167385219121=83*6971*289297 254302215553=307*3673*225523 364573433665=5*7*23*37*997*12277 575687567521=11*19*79*137*307*829 588909469501=1871*16831*18701 652270080001=3361*9241*21001 2152302898747=6763*10627*29947 4094040693601=17*19*23*79*271*25741 6287912246305=5*359*5227*670177 7729741408201=1151*4831*1390121 8419008492961=11*79*593*2887*5659 14328811076581=19*271*25741*108109 16043638781521=13*223*691*829*9661 24708862470601=23*89*149*167*485101 28523411058241=11*691*1217*3083473 36626985975601=7*19*101*307*1451*6121 40547369292001=11*13*101*13921*201667 66355877639521=3637*54541*334513...Tables of the fields with class number at most 23.
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Tables of class numbers of imaginary quadratic fields Tables of class numbers of imaginary quadratic fields Tables of imaginary quadratic fields with even class numbers Tables of imaginary quadratic fields with odd class numbers Last modified 17th July 2002...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
Tables and results on cubic number fields by Daniel A. Mayer.
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Cubic Field Extensions Number Theory Web Navigation Center Q of the rational number field Q 1.0. Introduction 1.0.1. Polynomials 1.0.1.1. Polynomials of the third degree as generators of cubic fields 1.0.1.2. Interactive test of a tracefree cubic polynomial for reducibility 1.0.2. Discriminants 1.0.2.1. How many fields share a...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.
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Carmichael number n up to 1,000,000,000 together with phi(n n-1)/phi(n) and the factorization of n. A brief discussion of Lehmer's problem can be found at the bottom of the page. 561 320 7/4 3 x 11 x 17 1105 768...Browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms.
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Computational Number Theory Tables and computations In this pages you will find browsable interfaces to tables and computations on elliptic curves, quadratic forms, and modular forms. This project is part of the computational component of the NSF award DMS 0200605, P/I Fernando Rodriguez Villegas villegas@math.utexas.edu. Cremona's...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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Tables 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 Hilbert class field of totally real fields of degree 2, 3 and 4 This table...FTP site by Michael Stoll, with MAGMA code.
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Index of /stoll/data The files in this directory contain data on genus 2 curves with small odd discriminant and small coefficients. All these curves have good reduction mod 2, and one can show that every curve with good reduction mod 2 has a...By John W. Jones and David P. Roberts. Tables of low degree extensions of Qp, for small p.
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Local Fields This site contains complete tables of low degree extensions of the fields Qp of p-adic numbers and also some interactive features. Details about the content and construction of the database are given in the following paper. A Database of Local...Lists of results, description of algorithms and tables of numerical data, by István Gaál.
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Algorithms for solving index form equations and computing power integral bases Algorithms for solving index form equations and computing power integral bases in algebraic number fields Lists of results, description of algorithms and tables of numerical data Cubic fields Quartic fields Quintic fields Sextic fields Octic fields Nonic fields Higher degree...Information about the positive integers, with counts of some number-theoretic functions, maintained by Saqib Kadri.
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The Positive Integers Use the form below to get the divisors of and additional information about any positive integer up to 1 million decimal places are rounded) Or just append the integer you want information about to the end of this site's URL....Tables of the Fermat pseudoprimes base 2 up to 10^13 and Carmichael numbers up to 10^17 compiled by Richard Pinch.
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Pseudoprimes and Carmichael numbers Fermat pseudoprime base b is a composite number N which satisfies the Fermat condition bN-1 congruent to 1 modulo N. In the common case b 2 we often talk simply of a pseudoprime. The first few examples are 341 11.31,...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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A Database for Number Fields This site contains a database of number fields up to degree 15 created by Jürgen Klüners and Gunter Malle. The number fields are represented by a minimal polynomial of a primitive element. The database contains polynomials for all transitive groups...