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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)

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 Supplementary condition to resolve duplicate solution. | Comment 7 of 9 |

I had not intended there to be two solutions. If anyone else wishes to attempt to solve, please note that P is larger than U, which eliminates the duplicate, without giving too much away...

 Posted by broll on 2011-06-15 11:30:20

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