Concepts3
∑MathIntermediate
Legendre's Formula
Legendre's formula gives the exponent of a prime p in n! by summing how many multiples of p, p^2, p^3, ... are ≤ n.
#legendre's formula#p-adic valuation#binomial divisibility+10
∑MathIntermediate
Prime Factorization
Prime factorization expresses any integer greater than 1 as a product of primes raised to powers, uniquely up to ordering.
#prime factorization#trial division#spf sieve+12
∑MathIntermediate
Sieve of Eratosthenes
The Sieve of Eratosthenes marks multiples of each prime to find all primes up to n in O(n log log n) time.
#sieve of eratosthenes#segmented sieve#linear sieve+11