Definition:Lucas Prime

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Definition

A Lucas prime is a Lucas number which happens to be prime.


Sequence

The sequence of Lucas primes begins:

$2, 3, 7, 11, 29, 47, 199, 521, 2207, 3571, 9349, 3 \, 010 \, 349, \ldots$


Their indices are:

$0, 2, 4, 5, 7, 8, 11, 13, 16, 17, 19, 31, 37, 41, 47, 53, 61, 71, 79, 113, 313, \ldots$

This sequence is A001606 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).


Also see

  • Results about Lucas primes can be found here.


Source of Name

This entry was named for Édouard Lucas.


Sources