Question 22
What is the exponent of the prime 2 in the factorization of
$$(5-1)(5^5-1)\cdots(5^{5\ldots{}^5}-1),$$
where in each factor the exponent contains one more “5” than in the preceding factor, and the last factor contains 2014 fives as exponents?
$$(5-1)(5^5-1)\cdots(5^{5\ldots{}^5}-1),$$
where in each factor the exponent contains one more “5” than in the preceding factor, and the last factor contains 2014 fives as exponents?