Doing Math with JavaScript (original) (raw)

Doing Math With JavaScript

This section of the JavaScripter.net website contains
• JavaScript calculators for prime factorization, arithmetic functions, etc.
• Short math essays (here JavaScript & the browser may be used as computation tools)
• A list of my more formal publications | my Erdös number
• See also JavaScript Numbers FAQ for more information on JavaScript math.

Number theory and 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)
• Big integer calculator: arbitrary precision arithmetic (10000+ digits)
• Binomial coefficients calculator (0 ≤ k ≤ n ≤ 50000)
• Fibonacci numbers calculator (0 ≤ n ≤ 50000)
• Catalan numbers calculator (0 ≤ n ≤ 25000)

Primes
• Trial division primality tests (in JavaScript FAQ section)
• The Miller-Rabin primality test
• Firoozbakht conjecture: (pk)k+1 > (p k+1)k
• Generalized Legendre conjecture: Is there a prime between ns and (n+1)s for s < 2?
• Primes between squares: _How many primes are there between n_2 and (n+1)2?
• Primes between cubes: _How many primes are there between n_3 and (n+1)3?
• Stronger-than-Goldbach conjecture: Large even numbers are sums of prime twins!?

Prime constellations or _k_-tuples
• Maximal gaps between prime _k_-tuples: gk(p) < Mk log_k_+1_p_.
• Prime Twins |Prime Quadruplets |Prime Sextuplets

Probability and statistics
• Maximal intervals between rare random events
• Maximal gaps between Cramer's random primes

Miscellaneous topics
• Solving the Dirichlet problem for Burgers equation
• City Distance Calculator
• A bug report on the Miller-Rabin test in BigInt.js