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Number Theory Algorithms APK

Perform algorithms & arithmetic operations for very big numbers

Version2.0.1.0 (2010)
UpdatedApr 13, 2018 (3 years ago)
DeveloperERVIN GEGPRIFTI
CategoryApps, Education
IDcom.gegprifti.android.numbertheoryalgorithms
Installs5,000+

Created for personal use this application can handle the following operations:

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 (performance is based on the device)
- root of a big integer number (performance is based on the device)
- GCD of two big integer numbers
- LCM of two big integer numbers
- modulo of two big integer numbers
- modulo inverse of two big integer numbers
- check a big integer if is probable prime
- next probable prime to a big integer

Algorithms:
- 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 Congruence, Solve for x, a congruence of the form ax ≡ b (mod m).
- Tonelli-Shanks Algorithm, calculate 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.

What's New

Calculator:
Added, is probable prime checker
Added, next probable prime to a number

Algorithms:
Added, Extended Euclidean Algorithm module
Added, Linear Congruence module
Added, Mod factors/Count module
Added, Primes List module

Other changes:
Added, documentation
New UI
Some bug fixes
Minor improvements here & there

Email: gegprifti.ervin@gmail.com

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