The letters of TALES have been added to the grid to form six words, one being a lingual import into English.
L 
E 
A 
S 
T 
S 
L 
A 
T 
E 
S 
T 
A 
L 
E 
S 
T 
E 
A 
L 
T 
A 
E 
L 
S 
T 
A 
L 
E 
S 
Assign a base 10 digit to each of the letters in the grid to create an alphametic so that each row but one forms a 5digit prime number.
This situation can occur in three ways, and logic should prevail.
(In reply to
computer solution by Charlie)
I know it is usually assumed that leading zeroes are excluded, yet, if permitted, the following is a tenth solution:
LEAST : 03917 [prime]
SLATE : 10973 [prime]
STALE : 17903 [prime]
STEAL : 17390 [composite]
TALES : 79031 [prime]
TAELS : 79301 [prime]
I am curious as to maximum number of primes for the anagrams of TALES that exist that would include the additonal anagrams of TALES: LEATS, SALET, SETAL, STELA, TEALS, TESLA.
LEATS: 03971 [composite]
SALET: 19037 [prime]
SETAL: 13790 [composite]
STELA: 17309 [composite]
TEALS: 73901 [composite]
TESLA: 73109 [composite]
Total primes for anagrams with {0,1,3,7,9) = 6.
(You are welcome to post a solution to the unasked question, Charlie, but if it is of no interst to you, no matter. Thank you, anyway.)

Posted by Dej Mar
on 20100321 02:01:47 