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,
- Each of MAN and LANGE is a prime, and:
- Each of UME and GEMIS is equal to three times a prime
Pigeolet was rather clever, no? (If you do get stuck, try the SPHINX journal from France, Nov. 1933, pg. 167!!!)