Python | sympy.core() method

Namachila October 15, 2025

0 1 1 minute read

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

$n = \prod_{i=1}^\omega p_i^{m_i}$

then

$core_t(n) = \prod_{i=1}^\omega p_i^{m_i \mod t}$

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)) 