Natural numbers between 17 and18square
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Perhaps to make it a little easier to see how to construct it: you want to form a number p2q2 p2q2 , p p and q q being integers and with the numerator and denominator relatively prime, that is between 172 = 289 172 = 289 and 182 = 324 182 = 324 .
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(17)² = 288
(18)² = 324
So, the natural no's. between (17)² and (18)² i.e between 288 and 324 are:
289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323 [ 35 real no's ]
(18)² = 324
So, the natural no's. between (17)² and (18)² i.e between 288 and 324 are:
289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323 [ 35 real no's ]
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