A071956 Table in which n-th row list prime factors and their exponents in factorization of prime(n)!.

2, 1, 2, 1, 3, 1, 2, 3, 3, 1, 5, 1, 2, 4, 3, 2, 5, 1, 7, 1, 2, 8, 3, 4, 5, 2, 7, 1, 11, 1, 2, 10, 3, 5, 5, 2, 7, 1, 11, 1, 13, 1, 2, 15, 3, 6, 5, 3, 7, 2, 11, 1, 13, 1, 17, 1, 2, 16, 3, 8, 5, 3, 7, 2, 11, 1, 13, 1, 17, 1, 19, 1, 2, 19, 3, 9, 5, 4, 7, 3, 11, 2, 13, 1, 17, 1, 19, 1, 23, 1, 2, 25, 3, 13