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Build one – get two free (Posted on 2011-10-08) Difficulty: 5 of 5

Construct a 4x4 magic square using integer numbers,
fulfilling the following conditions:
-Each number is an average of a twin prime pair.
-The lowest number is 30 - place it in the upper left corner.
- The highest number is 1092 - place it in the lower right corner.

  Rem: Once you’ve created the above magic square you can derive 2 new magic squares, each consisting of prime numbers only, - simply by increasing ( decreasing ) each number by one.

    Hint : The eligible even numbers are a subset of a sequence A014574 of Sloane’s encyclopedia of integer sequences.

It is a tough project - g o o d l u c k !

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: first one ( maybe more) ..... well done | Comment 4 of 5 |
(In reply to first one ( maybe more) by Daniel)

You are ok , except the typo. Please change 248==>240.

My solution has 1500 as a sum (eight numbers terminated by zero vs seven  in yours).

I assume there are more than those 2 generic solutions.

 


  Posted by Ady TZIDON on 2011-10-09 10:00:47
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