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

GALLUS = 628849  (793 SQUARED)

AMICUS = 257049  (507 SQUARED)

MAN = 521

LANGE = 82163

UME = 453

GEMIS = 63579

Unique uNIQuNIQUE

Solution

Posted by ed bottemiller on 2010-04-20 21:07:43