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.

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

Links

Table of n, a(n) for n=1..52.

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

Adjacent sequences: A205519 A205520 A205521 * A205523 A205524 A205525

Keyword

nonn

Author

Harvey P. Dale, Jan 28 2012

Status

approved