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 > (pk+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 n2 and (n+1)2? • Primes between cubes:  How many primes are there between n3 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 logk+1p. • 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

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