Python | sympy.reduced_totient() method

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 is the smallest m > 0 such that 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:

 # 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:

 # 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


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