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A205522
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.
0
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
OFFSET
1,1
REFERENCES
Daniel Zwillinger, CRC Standard Mathematical Tables and Formulae (31st ed. 2003), p. 99
EXAMPLE
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.
CROSSREFS
Sequence in context: A104587 A300940 A131939 * A111744 A083781 A349156
KEYWORD
nonn
AUTHOR
Harvey P. Dale, Jan 28 2012
STATUS
approved