Does the integer k have a factor p such that 1 < p < k?
(1) k > 4!
(2) 13! + 2 <= k <= 13! + 13
A) Statement (1) Alone is sufficient, but statment (2) alone is not sufficient.
B) Statement (2) Alone is sufficient, but statment (1) alone is not sufficient.
C) Both statements together are sufficient, but neither statement alone is sufficient.
D) Each statement alone is sufficient.
E) Statements (1) and (2) together are not sufficient.
Please explain your answer.
Make use of the socratic method...