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Twisted TALES (Posted on 2010-03-20) Difficulty: 3 of 5
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 5-digit prime number.

This situation can occur in three ways, and logic should prevail.

See The Solution Submitted by brianjn    
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re: computer solution | Comment 3 of 7 |
(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 2010-03-21 02:01:47
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