A216562 Numbers n such that the n-th Lucas number is prime and can be written in the form a^2 + 2*b^2.

0, 4, 5, 11, 13, 16, 17, 37, 41, 47, 53, 61, 71, 113, 313, 353, 503, 613, 617, 863, 1097, 1361, 4787, 4793, 7741, 10691, 12251, 14449, 19469, 35449, 36779, 44507, 51169, 56003, 81671, 89849, 94823, 140057, 148091, 159521, 183089, 193201, 202667, 344293, 387433, 443609, 532277, 616787, 631181, 637751, 651821, 692147

Offset

1,2

Links

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

Blair Kelly, Factorizations of Fibonacci and Lucas numbers

Crossrefs

Cf. A000032, A001606.

Sequence in context: A100107 A066828 A163098 * A174009 A370980 A379357

Adjacent sequences: A216559 A216560 A216561 * A216563 A216564 A216565

Keyword

nonn

Author

V. Raman, Sep 08 2012

Status

approved