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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: ( You must be logged in to post comments.)
  Subject Author Date
re(2): Supplementary condition to resolve duplicate solution.broll2011-06-15 15:02:02
Some Thoughtsre: Supplementary condition to resolve duplicate solution.Ady TZIDON2011-06-15 12:17:58
Hints/TipsSupplementary condition to resolve duplicate solution.broll2011-06-15 11:30:20
Hints/Tipsre(2): all letters resolvedAdy TZIDON2011-06-14 19:50:05
re: all letters resolvedMath Man2011-06-14 19:41:03
re(2): Hmmmm... computer solution (spoiler)Charlie2011-06-14 15:50:34
Hints/Tipsre: Hmmmm... computer solution (spoiler)Ady TZIDON2011-06-14 15:39:24
SolutionHmmmm... computer solution (spoiler)Charlie2011-06-14 14:46:24
Solutionall letters resolved - spoilerAdy TZIDON2011-06-14 13:02:14
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