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27-8=19 (Posted on 2015-03-31) Difficulty: 2 of 5
19 is the only prime which is equal to the difference of two cubes of primes.

Prove the above statement.

See The Solution Submitted by Ady TZIDON    
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Hints/Tips re: Solution ...........add the conclusion Comment 2 of 2 |
(In reply to Solution by Jer)

To conclude the proof one should add:

For   p=3, q=2 the value of p^2+pq+q^2 is 9+6+4=19   q.e.d.

  Posted by Ady TZIDON on 2015-04-01 09:53:59
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