
    As part of a student's personalized number theory curriculum, develop a function that determines the specific Newman-Shanks-Williams prime number corresponding to their current progression level. The function should calculate this special prime number based on the student's learning stage to ensure appropriate mathematical concept difficulty, helping maintain an optimal learning progression through increasingly complex number theory concepts.
    

    
def newman_prime(n):
    """
    As part of a student's personalized number theory curriculum, develop a function that determines the specific Newman-Shanks-Williams prime number corresponding to their current progression level. The function should calculate this special prime number based on the student's learning stage to ensure appropriate mathematical concept difficulty, helping maintain an optimal learning progression through increasingly complex number theory concepts.
    

    """
def newman_prime(n):
    """
    As part of a student's personalized number theory curriculum, develop a function that determines the specific Newman-Shanks-Williams prime number corresponding to their current progression level. The function should calculate this special prime number based on the student's learning stage to ensure appropriate mathematical concept difficulty, helping maintain an optimal learning progression through increasingly complex number theory concepts.
    

    """
    if n == 0 or n == 1:
        return 1
    return 2 * newman_prime(n - 1) + newman_prime(n - 2)