Python | sympy.reduced_totient() method Last Updated : 17 Sep, 2019 Comments Improve Suggest changes Like Article Like Report With the help of sympy.reduced_totient() method, we can find the Carmichael reduced totient function or lambda(n) in SymPy. reduced_totient(n) or \lambda(n) is the smallest m > 0 such that k^m \equiv 1 \mod n for all k relatively prime to n. Syntax: reduced_totient(n) Parameter: n - It denotes an integer. Returns: Returns the smallest integer m > 0 such that km % n is equal to 1 for all k relatively prime to n. Example #1: Python3 # import reduced_totient() method from sympy from sympy.ntheory import reduced_totient n = 8 # Use reduced_totient() method reduced_totient_n = reduced_totient(n) print("lambda({}) = {} ".format(n, reduced_totient_n)) # 1 ^ 2 = 1 (mod 8), 3 ^ 2 = 9 = 1 (mod 8), # 5 ^ 2 = 25 = 1 (mod 8) and 7 ^ 2 = 49 = 1 (mod 8) Output: lambda(8) = 2 Example #2: Python3 # import reduced_totient() method from sympy from sympy.ntheory import reduced_totient n = 30 # Use reduced_totient() method reduced_totient_n = reduced_totient(n) print("lambda({}) = {} ".format(n, reduced_totient_n)) Output: lambda(30) = 4 Comment R rupesh_rao Follow Improve R rupesh_rao Follow Improve Article Tags : Python SymPy Explore Python FundamentalsPython Introduction 2 min read Input and Output in Python 4 min read Python Variables 5 min read Python Operators 4 min read Python Keywords 2 min read Python Data Types 7 min read Conditional Statements in Python 3 min read Loops in Python - For, While and Nested Loops 5 min read Python Functions 5 min read Recursion in Python 4 min read Python Lambda Functions 5 min read Python Data StructuresPython String 5 min read Python Lists 4 min read Python Tuples 4 min read Python Dictionary 3 min read Python Sets 6 min read Python Arrays 7 min read List Comprehension in Python 4 min read Advanced PythonPython OOP Concepts 11 min read Python Exception Handling 5 min read File Handling in Python 4 min read Python Database Tutorial 4 min read Python MongoDB Tutorial 2 min read Python MySQL 9 min read Python Packages 10 min read Python Modules 7 min read Python DSA Libraries 15 min read List of Python GUI Library and Packages 3 min read Data Science with PythonNumPy Tutorial - Python Library 3 min read Pandas Tutorial 6 min read Matplotlib Tutorial 5 min read Python Seaborn Tutorial 15+ min read StatsModel Library- Tutorial 4 min read Learning Model Building in Scikit-learn 8 min read TensorFlow Tutorial 2 min read PyTorch Tutorial 6 min read Web Development with PythonFlask Tutorial 8 min read Django Tutorial | Learn Django Framework 7 min read Django ORM - Inserting, Updating & Deleting Data 4 min read Templating With Jinja2 in Flask 6 min read Django Templates 7 min read Python | Build a REST API using Flask 3 min read How to Create a basic API using Django Rest Framework ? 4 min read Python PracticePython Quiz 3 min read Python Coding Practice 1 min read Python Interview Questions and Answers 15+ min read Like