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A129729 Primes dividing numbers k such that k divides the k-th Lucas number A000032(k). 4

%I #10 Jun 08 2021 02:24:28

%S 2,3,107,1283,8747,21401,34667,46187,104003,137387,138563,374929,

%T 549547,2204243,2771281,2808107,11128427,11223683,13497443,14880347,

%U 21747529,22753547,23712683,33697283,44513387,46970929,57395627,65898683

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

%C 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.

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

%H C. Smyth, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL13/Smyth/smyth2.html">The terms in Lucas Sequences divisible by their indices</a>, JIS 13 (2010) #10.2.4.

%Y Cf. A000032, A016089, A140258.

%K nonn

%O 1,1

%A _Alexander Adamchuk_, May 12 2007

%E Revised and extended by _Max Alekseyev_, May 16 2008

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Last modified April 23 15:20 EDT 2024. Contains 371916 sequences. (Running on oeis4.)