Substitute each of the capital letters in bold by a different base ten digit from 0 to 9 to satisfy this set of alphametic relationships. None of the numbers can contain any leading zero.

• Each of GALLUS and AMICUS is a perfect square, and:
• Each of MAN and LANGE is a prime, and:
• Each of UME and GEMIS is equal to three times a prime number

Pigeolet was rather clever, no?  (If you do get stuck, try the SPHINX journal from France, Nov. 1933, pg. 167!!!)     

Posted by rod hines on 2010-04-20 17:06:19