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?

(In reply to Hmmmm... computer solution (spoiler) by Charlie)

Having found a solution ,I never tried to look for another one.

Luckily enough,your program lokked for ALL  SOLUTIONS.

Although the  TE-ET  couple remained the same,-  2 diff. values of S   exist.

All in all- excellent problem - I rated it 5. 

Posted by Ady TZIDON on 2011-06-14 15:39:24