Hi


I've added a project idea here: 


*Number Theory*


*Idea*

I want to Implement more functions in number theory 

Finding solutions to system Diophantine equations,

Prime factorization of factorials in less time, 

Finding n consecutive composite numbers , 

Checking Perfect Number or not,

Whether Given number is Perfect Nth power or not

Finding Solutions for a2 + b2 = c2 for a given c

Given two numbers like ax , by finding which one is larger without 
computing exact values



*Status*

I found methods to solve diophantine equations but not found for system of 
diphantine equations

Prime factorization was implemeted for normal methods we can apply same for 
factorials but it will be more time taking process

Finding n consecutive composite numbers are not implemented

Perfect Number Not Implemented


*Potential Mentors*


*Involved Software*

Sympy


*Difficulty*

Intermediate


*Prerequisite Knowledge*

Number Theory


I am familiar with topics Diophantine equation,Congruence ,Continued 
Fraction,Divisor Function,Euclidean Algorithm,Fermat's Last Theorem,Perfect 
Number,Prime Factorization Algorithms, Totient Function.




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