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P,Sq,P (Posted on 2014-07-21) Difficulty: 1 of 5
How many integer squares are "sandwiched" between 2 prime numbers?

See The Solution Submitted by Ady TZIDON    
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Solution Solution | Comment 1 of 2

The integer one less than a square (n^2 - 1) is equal to (n-1)(n+1), which will obviously never be a prime except in the case where n = 2.

Thus the only integer square is 4, which is sandwiched between the primes 3 and 5.

 


  Posted by tomarken on 2014-07-21 10:04:36
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