All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Twisted TALES (Posted on 2010-03-20)
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 No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 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

 Search: Search body:
Forums (0)