Mathematical Tools

Generate prime numbers in a range or list the first N primes using the Sieve of Eratosthenes with copy-ready output.

Find the prime factorization of any integer, list all divisors, and see trial-division steps with copy-ready output.

Find the least common multiple (LCM) and GCD of two or more positive integers with prime-factor and step-by-step GCD methods.

Find the greatest common divisor (GCD) and LCM of two or more positive integers with Euclidean algorithm steps and prime-factor method.

Compute natural log (ln), common log (log₁₀), binary log (log₂), custom-base logarithms, and antilogs with change-of-base steps and verification.

Compute sin, cos, tan, csc, sec, cot, and inverse trig functions in degrees or radians with exact values and step-by-step work.

Calculate basic, complement, union, intersection, conditional, and binomial probabilities with formulas and step-by-step work.

Calculate combinations nCr and permutations nPr with factorial formulas, step-by-step work, and support for large results.

Calculate permutations nPr and factorials n! for ordered arrangements with formulas and step-by-step work.

Compute mean, median, mode, standard deviation, variance, quartiles, range, and more from any dataset with step-by-step formulas.

Fit a linear regression line to (x, y) data — slope, intercept, equation, correlation r, R², and predictions with step-by-step work.

Convert raw scores to z-scores and back using z = (x − μ) ÷ σ, with percentile and step-by-step work.