the next square number is $(? )^2 = a_{1}a_{2}\cdots $ where $a_{i}$ is consecutive positive integer Today:
I found this interesting fact
$$18^2=324,\quad 24^2=576,\quad 66^2=4356$$
my Question:
then next   square numbers is ?
such as $$(x_{1}x_{2}\cdots)^2=a_{1}a_{2}a_{3}\cdots$$  where $a_{1},a_{2},a_{3},\cdots$ is consecutive positive integer,
such
$18^2=324$,then $2,3,4$ is consecutive positive integer.
$24^2=576$,then $5,6,7$ is consecutive positive integer.
$66^2=4356$,then $3,4,5,6$ is consecutive positive integer
Thank you

By brute force, the next few are
74 5476
152 23104
179 32041
3678 13527684
3698 13675204
4175 17430625
4616 21307456
5904 34857216
5968 35617024
6596 43507216
7532 56731024
8082 65318724
8559 73256481
9024 81432576

There are another 52 with 9-digit squares, and 87 with 10-digit squares; the largest is $99066^2 = 9814072356$.
