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:
- $0, 2, 4, 5, 7, 8, 11, 13, 16, 17, 19, 31, 37, 41, 47, 53, 61, 71, 79, 113, 313, \ldots$
Also see
- Results about Lucas primes can be found here.
Source of Name
This entry was named for François Édouard Anatole Lucas.
Sources
- Weisstein, Eric W. "Lucas Prime." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LucasPrime.html