Doing Math With JavaScript

This section of the JavaScripter.net website contains
(1) Code examples and notes on various aspects of JavaScript math.
(2) Short math essays (here JavaScript & the browser may be used as computation tools)
(3) A couple of JavaScript calculators.

Probability and Statistics

  • Maximal intervals between rare random events

    Primes

  • Trial division primality tests (in JavaScript FAQ section)
  • The Miller-Rabin primality test
  • Prime Twins
  • Prime Quadruplets
  • Prime Sextuplets
  • Generalized Legendre conjecture: Is there a prime between ns and (n+1)s for s < 2?
  • Primes between consecutive squares: How many primes are there between n2 and (n+1)2?
  • Primes between consecutive cubes: How many primes are there between n3 and (n+1)3?
  • Stronger-than-Goldbach conjecture: Every even number n > 4208 is a sum of two prime twins!?
  • Maximal gaps between prime k-tuples: gk(p) < Mk logk+1p.

    Number Theory & Arithmetic Functions:
    Divisors d(n), Sum of Divisors σ(n), Totient φ(n), Prime Factorization

  • Prime Factors Calculator (up to 20 digits)
  • Euler's Totient Function φ(n) (up to 20 digits)
  • Divisors Calculator: σ(n) and d(n) (up to 20 digits)
  • Highly Composite Numbers (up to 20 digits)

    Other Calculators

  • City Distance Calculator

    More on Factorization

  • Factorization of numbers up to 9007199254740992 = 253
  • Finding the least factor in integers under 1020 (to be published soon)

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