| coprime | Find the Greatest Common Divisor, Smallest Common Multiple, or Coprimality |
| cousin_primes | Prime _k_-tuples |
| gcd | Find the Greatest Common Divisor, Smallest Common Multiple, or Coprimality |
| generate_n_primes | Generate a Sequence of Prime Numbers |
| generate_primes | Generate a Sequence of Prime Numbers |
| is_prime | Test for Prime Numbers |
| k_tuple | Prime _k_-tuples |
| lcm | Find the Greatest Common Divisor, Smallest Common Multiple, or Coprimality |
| next_prime | Find the Next and Previous Prime Numbers |
| nth_prime | Get the n-th Prime from the Sequence of Primes. |
| nth_prime_estimate | Prime-counting Functions and Estimating the Value of the n-th Prime |
| phi | Euler's Totient Function |
| prev_prime | Find the Next and Previous Prime Numbers |
| primes | Pre-computed Prime Numbers |
| prime_count | Prime-counting Functions and Estimating the Value of the n-th Prime |
| prime_factors | Perform Prime Factorization on a Vector |
| primorial | Compute the Primorial |
| primorial_n | Compute the Primorial |
| primorial_p | Compute the Primorial |
| Rgcd | Find the Greatest Common Divisor, Smallest Common Multiple, or Coprimality |
| Rscm | Find the Greatest Common Divisor, Smallest Common Multiple, or Coprimality |
| ruth_aaron_pairs | Find Ruth-Aaron Pairs of Integers |
| scm | Find the Greatest Common Divisor, Smallest Common Multiple, or Coprimality |
| sexy_primes | Prime _k_-tuples |
| sexy_prime_triplets | Prime _k_-tuples |
| third_cousin_primes | Prime _k_-tuples |
| twin_primes | Prime _k_-tuples |