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
