Morning Math 17

Logic

Use the digits 1, 2, 3, 4, 5, and the following clues to find the 5 digit number.

Clue 1:  The number is less than 30 000.
Clue 2:  The 3 is nest to the 2.
Clue 3:  The 2 is not next to the 1 or 4.
Clue 4:  The 5 is not next to the 1 or 4.
Clue 5:  The 3 is next to the 4 or 5.