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Samba Primes (Posted on 2011-06-14) Difficulty: 3 of 5

Let capitalised letters of the alphabet stand for 4-digit prime numbers each of whose digits is distinct and also prime, so that e.g. A=5237.

A pair of such letters stands for the concatenation of two such numbers to form an 8-digit number, e.g. AA=52375237

Denote 8 different such 4-digit primes by the letters of the word CAPTURES, so that each of CP,ET,PU,RU,TE,TR, and UC is also prime.

Given that A=5237, what is the value of S?

No Solution Yet Submitted by broll    
Rating: 3.6000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Hmmmm... computer solution (spoiler) | Comment 4 of 9 |
(In reply to re: Hmmmm... computer solution (spoiler) by Ady TZIDON)

Actually the program only identified the possible 8-digit primes and their constituent 4-digit primes.  I did the letter matchup by hand.
  Posted by Charlie on 2011-06-14 15:50:34

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