A129729 Primes dividing numbers k such that k divides the k-th Lucas number A000032(k).

2, 3, 107, 1283, 8747, 21401, 34667, 46187, 104003, 137387, 138563, 374929, 549547, 2204243, 2771281, 2808107, 11128427, 11223683, 13497443, 14880347, 21747529, 22753547, 23712683, 33697283, 44513387, 46970929, 57395627, 65898683

Offset

1,1

Comments

A prime p belongs to this sequence iff for some positive integer m, m*p divides A000032(m*p) or, alternatively, m*p belongs to A016089.

The minimum multiples from A016089 of listed primes are given by A140258.

Links

Table of n, a(n) for n=1..28.

C. Smyth, The terms in Lucas Sequences divisible by their indices, JIS 13 (2010) #10.2.4.

Crossrefs

Cf. A000032, A016089, A140258.

Sequence in context: A039768 A097653 A164926 * A109349 A330842 A235619

Adjacent sequences: A129726 A129727 A129728 * A129730 A129731 A129732

Keyword

nonn

Author

Alexander Adamchuk, May 12 2007

Extensions

Revised and extended by Max Alekseyev, May 16 2008

Status

approved