
    In a personalized learning platform, each student's achievement level corresponds to a unique star-based milestone, and you need to calculate the exact star count for any given milestone number. Write a function that determines how many stars a student should earn at their nth milestone, where each milestone's star count follows the pattern of centered star numbers to ensure progressively challenging but mathematically consistent goals.
    

    
def find_star_num(n):
    """
    In a personalized learning platform, each student's achievement level corresponds to a unique star-based milestone, and you need to calculate the exact star count for any given milestone number. Write a function that determines how many stars a student should earn at their nth milestone, where each milestone's star count follows the pattern of centered star numbers to ensure progressively challenging but mathematically consistent goals.
    

    """
def find_star_num(n):
    """
    In a personalized learning platform, each student's achievement level corresponds to a unique star-based milestone, and you need to calculate the exact star count for any given milestone number. Write a function that determines how many stars a student should earn at their nth milestone, where each milestone's star count follows the pattern of centered star numbers to ensure progressively challenging but mathematically consistent goals.
    

    """
    return 6 * n * (n - 1) + 1