Number Theory Algorithms

ERVIN GEGPRIFTI

About this app

Calculator:
Add two big integer numbers
Subtract two big integer numbers
Multiply two big integer numbers
Divide two big integer numbers
Power of a big integer number
Root of a big integer number
Greatest Common Divisor (GCD) of two big integer numbers
Lowest Common Multiple (LCM) of two big integer numbers
Modulo of two big integer numbers
Modulo Inverse of two big integer numbers
Check if a big integer is probable prime
Euler's phi-function
Factorial
Next probable prime to a big integer number
Next twin prime pair to a big integer number

Algorithms:
Simple Quadratic Form. Solve for x,y such as bxy+dx+ey=f where b,d,e,f,x,y in Z.
Euclidean Algorithm. Compute the Greatest Common Divisor (GCD) of two numbers a and b.
Extended Euclidean Algorithm. Solve for x, y such as ax + by = gcd(a, b).
Linear Diophantine Equation In Two Variables. Solve for x,y such as ax+by=c.
Linear Congruence In One Variable. Solve for x a congruence of the form ax ≡ b (mod m).
Linear Congruence In Two Variables. Solve for x,y a congruence of the form ax+by ≡ c (mod m).
Tonelli-Shanks Algorithm. Calculate the Quadratic Residue Modulo. Solve for x, a congruence of the form x² ≡ a (mod p) where p is prime.
Mod Factors. Calculate modular possible factors for a given number and a modulo. Find n ≡ bc (mod a) where (ax + c)(ay + b) = a(axy + bx + cy) + bc = n.
Primes List. List of primes ordered in columns.

Note: Performance is based on the device.

Ratings and reviews

Overall, a good app for primality and mod calculations. Would be nice to have an option to disable the tactile vibration, which is a bit annoying as it's there on pressing any button.

Very good app for college students to solve number theoretical problems.... With having a look at the method to solve that

Just what I was looking for. And the copy paste clear commands are so practical and useful. Big thumbs up for the developer!!

What’s new

Made Number Theory Algorithms Open Source