Directory: Top/Science/Math/Number

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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/
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Number Field Tables
FTP site at the University of Bordeaux. Fields of degree up to 7.
ftp://megrez.math.u-bordeaux.fr/pub/numberfields
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The First 28,915 Odd Primes
Tabulated using a simple C program.
http://www.newdream.net/~sage/old/numbers/primeodd.htm
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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.
http://www.trnicely.net/twins/tabpi2.html
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Multiply Perfect Numbers
Over 2000 multiperfect numbers sorted by numerical value and by factorisation.
ftp://ftp.cs.arizona.edu/xkernel/rcs/mpfn.html
Arizona.edu ~ Site Info Whois Trace Route RBL Check

The First 100,000 Prime Numbers
A Project Gutenberg etext.
http://digital.library.upenn.edu/webbin/gutbook/lookup?num=65
Upenn.edu ~ Site Info Whois Trace Route RBL Check

The First 498 Bernoulli Numbers
A Project Gutenberg etext.
http://digital.library.upenn.edu/webbin/gutbook/lookup?num=2586
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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
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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 rep
http://www.trnicely.net/twins/twins2.html
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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.
http://users.utu.fi/taumets/fermat/fermat.htm
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