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A205522
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Primes resulting from adding x and y from the least positive solution to Pell's equation (x^2 - d*y^2 == 1), with d squarefree.
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0
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5, 3, 13, 7, 11, 13, 829, 19, 5, 41, 67, 239, 29, 61, 11621, 13, 41, 7, 43, 29, 4013, 101, 599, 71, 73, 281, 4129, 59, 89, 181, 11527, 31, 13411, 43, 249947, 23, 1231, 335171, 131, 7069, 103, 13, 313, 157, 23011, 269, 1429, 12703, 1163, 1832918207, 181, 1721
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OFFSET
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1,1
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REFERENCES
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Daniel Zwillinger, CRC Standard Mathematical Tables and Formulae (31st ed. 2003), p. 99
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LINKS
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EXAMPLE
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The least positive solution to Pell's equation with d = 5 is (x = 9 and y = 4). 9 + 4 = 13, which is a prime number, so 13 is in the sequence.
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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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