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 Samba Primes (Posted on 2011-06-14)

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)

 Subject Author Date re(2): Supplementary condition to resolve duplicate solution. broll 2011-06-15 15:02:02 re: Supplementary condition to resolve duplicate solution. Ady TZIDON 2011-06-15 12:17:58 Supplementary condition to resolve duplicate solution. broll 2011-06-15 11:30:20 re(2): all letters resolved Ady TZIDON 2011-06-14 19:50:05 re: all letters resolved Math Man 2011-06-14 19:41:03 re(2): Hmmmm... computer solution (spoiler) Charlie 2011-06-14 15:50:34 re: Hmmmm... computer solution (spoiler) Ady TZIDON 2011-06-14 15:39:24 Hmmmm... computer solution (spoiler) Charlie 2011-06-14 14:46:24 all letters resolved - spoiler Ady TZIDON 2011-06-14 13:02:14

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