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| Integer Pair and Prime Constant (Posted on 2009-10-24) |
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Determine all possible value(s) of a positive prime constant P such that the equation: 2X – 3P = Y2 has precisely two distinct solutions in (X, Y), where each of X and Y is a positive integer.
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Submitted by K Sengupta
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Rating: 3.0000 (1 votes)
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Solution:
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(Hide)
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P = 5 is the only solution, with (X, Y) being (6, 7) and (4, 1).
For a detailed explanation, refer to the solution submitted by Harry in this location.
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