# Python | sympy.core() method

With the help of sympy.core() method, we can calculate the of a positive integer n. core(n, t) calculates the t-th power free part of n.
If n’s prime factorization is :

then

Syntax: core(n, t=2)

Parameter:
n – It denotes an integer.
t – It denotes an integer(optional). Default for t is 2.

Returns: Returns the t-th power free part of n.

Example #1:

 # import core() method from sympy  from sympy.ntheory.factor_ import core     n = 24 k = 2    # Use core() method   core_n_k = core(n, k)          print("core({}, {}) =  {} ".format(n, k, core_n_k))

Output:

core(24, 2) =  6


Example #2:

 # import core() method from sympy  from sympy.ntheory.factor_ import core     n = 11**4 k = 3    # Use core() method   core_n_k = core(n, k)          print("core({}, {}) =  {} ".format(n, k, core_n_k))

Output:

core(14641, 3) =  11


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