[seqfan] Odd integers n such that Lucas(n) == 2 (mod n)

Trizen trizenx at gmail.com
Tue Oct 1 11:18:38 CEST 2019


Hello SeqFans,

I would like to share a pretty strange sequence: odd integers n such that
Lucas(n) == 2 (mod n), where Lucas(n) is the n-th Lucas number given by
A000032(n).

Equivalently: odd integers n such that A213060(n) = 2.

The first three terms are: 1643, 387997, 174819237.

It's quite surprising that these numbers are so rare.

Some questions:
- Is there anything known about this sequence?
- In particular, is this sequence infinite?
- Is it worth submitting to OEIS?

Thank you,
Daniel Suteu



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