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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): Supplementary condition to resolve duplicate solution. Comment 9 of 9 |
(In reply to re: Supplementary condition to resolve duplicate solution. by Ady TZIDON)

Yes, I really liked the way those 4 numbers danced around each other and then danced again in groups around each other, hence 'samba primes' in the title.
  Posted by broll on 2011-06-15 15:02:02

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