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Floor function and primes (Posted on 2006-12-09) Difficulty: 3 of 5
Determine the integer(s) n for which [n²/3] is a prime.
Note: [x] is the greatest integer ≤ x (floor function).

No Solution Yet Submitted by atheron    
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Some Thoughts re: I got it, i got it | Comment 2 of 5 |
(In reply to I got it, i got it by JLo)

True.
However, since n must be an integer( whether positive or negative) n= -3, for the case n=3a, and n=-4 corresponding to the case n= 3a+2 are also valid.
Thus, n= +/-3 and n= +/-4 gives all possible solutions to the given problem.

Edited on December 9, 2006, 12:33 pm
  Posted by K Sengupta on 2006-12-09 12:32:16

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