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Prime pentagon (Posted on 2012-11-27) Difficulty: 4 of 5
Joining every vertex of a convex pentagon to every other vertex forms three nested figures:

the original outer pentagon
an inner pentagon
a five-pointed star between them

Suppose the perimeters of these three figures are all primes; show that the three primes’ sum is at least 20.

No Solution Yet Submitted by Danish Ahmed Khan    
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Something I'm missing? | Comment 1 of 2

Edited on December 6, 2012, 10:08 pm
  Posted by atheron on 2012-12-06 22:07:18

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