Arctic Village, a place inside the Arctic Circle that has a post office, has severe cold spells. Use the clues below to find the zip code (ABCDE) of Arctic Village. (Note: the only zip code not allowed is 0000 and
that A, B, C, D, E are not necessarily distinct, ie there can be repeats.)

Only A, B, and C are odd numbers

B>C

A and B are square numbers
C, D, and E are prime numbers

A-C = E