| agm | Arithmetic-geometric Mean |
| bell | Bell Numbers |
| bernoulli | Bernoulli Numbers |
| carmichael | Carmichael Numbers |
| catalan | Catalan Numbers |
| cf2num | Generalized Continous Fractions |
| chinese | Chinese Remainder Theorem |
| collatz | Collatz Sequences |
| contFrac | Continued Fractions |
| coprime | Coprimality |
| div | Integer Division |
| divisors | List of Divisors |
| droplet_e | Droplet Algorithm for pi and e |
| egyptian_complete | Egyptian Fractions - Complete Search |
| egyptian_methods | Egyptian Fractions - Specialized Methods |
| eulersPhi | Eulers's Phi Function |
| extGCD | Extended Euclidean Algorithm |
| factorize | Prime Factors |
| fibonacci | Fibonacci and Lucas Series |
| GCD | GCD and LCM Integer Functions |
| hermite | Hermite Normal Form |
| inthroot | Integer N-th Root |
| IsIntpower | Powers of Integers |
| isNatural | Natural Number |
| isprime | isPrime Property |
| isPrimroot | Primitive Root Test |
| legendre_sym | Legendre and Jacobi Symbol |
| mersenne | Mersenne Numbers |
| mod | Modulo Operator |
| modinv | Modular Inverse and Square Root |
| modlin | Modular Linear Equation Solver |
| modlog | Modular (or: Discrete) Logarithm |
| modpower | Power Function modulo m |
| moebius | Moebius Function |
| necklace | Necklace and Bracelet Functions |
| nextprime | Next Prime |
| numbers-package | Number-Theoretic Functions |
| omega | Number of Prime Factors |
| ordpn | Order in Faculty |
| pascal | Pascal Triangle |
| periodicCF | Periodic continued fraction |
| previousPrime | Previous Prime |
| primes | Prime Numbers |
| primroot | Primitive Root |
| pythagorean | Pythagorean Triples |
| quadratic_residues | Quadratic Residues |
| rabin | Miller-Rabin Test |
| ratFarey | Farey Approximation and Series |
| rem | Integer Remainder |
| sigma | Divisor Functions |
| solvePellsEq | Solve Pell's Equation |
| stern_brocot | Stern-Brocot Sequence |
| twinprimes | Twin Primes |
| zeck | Zeckendorf Representation |
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