perplexus.info :: Numbers : Gallus and Amicus

Gallus and Amicus (Posted on 2010-04-20)

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

Submitted by K Sengupta

Rating: 5.0000 (2 votes)

Solution: (Hide)

C=0,N=1,A=2,E=3,U=4,M=5,G=6,I=7,L=8,S=9

GALLUS AMICUS MAN LANGE UME GEMIS 628849 257049 521 82163 453 63579 =793² =507²

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
(SOLUTION)	ed bottemiller	2010-04-20 21:07:43
Some Thoughts	rod hines	2010-04-20 17:06:19

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