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A336794
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Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 3.
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3
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13, 61, 73, 109, 157, 241, 277, 421, 1549, 3061, 4561, 4861, 5701, 6301, 6829, 8941, 10429, 13381, 14029, 14221, 21169, 22369, 24049, 26161, 29761, 30529, 33601, 39901, 44221, 45061, 47581, 55609, 61609, 62869, 64381, 74869, 97549
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OFFSET
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1,1
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COMMENTS
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Analogous to A033316 for x^2-D*y^2=1, and D is required to be prime, and for record values of x.
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LINKS
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EXAMPLE
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For D=73, the least x for which x^2-D*y^2=3 has a solution is 94. The next prime, D, for which x^2-D*y^2=3 has a solution is 97, but the smallest x in this case is 10, which is less than 97. The next prime, D, after 97 for which x^2-D*y^2=3 has a solution is 109 and the least x for which it has a solution is 9532, which is larger than 97, so it is a new record value. 73 is a term of this sequence and 94 is a term of A336795, but 97 is not a term here because the least x for which x^2-D*y^2=3 has a solution at D=97 is not a record value.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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