Sequence of 4 Consecutive Integers with Equal Number of Divisors

Theorem
The following sequence of integers are sets of $4$ consecutive integers which all have the same number of divisors:
 * $\tau \left({m}\right) = \tau \left({m + 1}\right) = \tau \left({m + 2}\right) = \tau \left({m + 3}\right)$

where $\tau \left({n}\right)$ denotes the $\tau$ function.


 * $242, 243, 244, 245, 3655, 3656, 3657, 3658, 4503, 4504, 4505, 4506, \ldots$