**
True or False?
**

"There exists a positive integer $n$ such that the set $[n, n+1, n+2, n+3, n+4, n+5]$ can be partitioned into two subsets so that the product of the numbers in each subset is equal."

**
Bonus
**
: What if it isn't just
$6$
consecutive integers? What about
$9$
?
$16$
?
$4n+2$
, if
$4n+3$
is a prime/composite?

Taken from IMO.

True
False

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