>>> from prime import iterations_is_prime

>>> iterations_is_prime(1)
(False, 0)
>>> iterations_is_prime(2)
(True, 0)
>>> iterations_is_prime(53)
(True, 51)
>>> iterations_is_prime(63)
(False, 2)
>>> iterations_is_prime(71)
(True, 69)
>>> iterations_is_prime(84)
(False, 1)
>>> iterations_is_prime(97)
(True, 95)
>>> iterations_is_prime(125)
(False, 4)