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Continued Fraction Satisfaction (Posted on 2014-10-04) Difficulty: 3 of 5
Find the smallest value of a 3-digit positive integer N such that continued fraction for √N has period 8.

No Solution Yet Submitted by K Sengupta    
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Solution Answer Comment 1 of 1
Sloane A020348 indicates the smallest positive integer with continued fraction having a period of 8 is 31 followed by 44, 69, 71, 91, 92, 108, 135, 153, and onward. As the problem asks for the smallest 3-digit positive integer, this then would be the positive integer 108.
  Posted by Dej Mar on 2014-10-04 11:53:47
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