Damiano has thrown four dice and the numbers 2, 2, 4, 5 showed up on top.
Damiano asks himself:

What is the smallest positive integer that cannot be generated with these four numbers according to the following rules?

• One may use the four numbers 2, 2, 4, 5, and it is fine if not all of them are used.
• Concatenation of digits is NOT allowed.
• The only allowed operations are additions, subtraction, multiplication, and division ($+,-,*,/$).
• One may use any number of brackets.

Examples: $~~~~1=5-4$; $~~~~2=4-2$; $~~~~3=4-(2/2)$; $~~~~4=(4+2)-2$; $~~~~$etc.