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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.

  Submitted by Ady TZIDON    
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Solution: (Hide)
p^3-q^2=(p-q)(p^2+pq+q^2) ,therefore
p-q must be 1, so p=3, q=2 and the answer 3^3-2^3=27-8=19

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Hints/Tipsre: Solution ...........add the conclusionAdy TZIDON2015-04-01 09:53:59
SolutionSolutionJer2015-03-31 11:59:48
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