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Encyclopedia > Lucas prime

A Lucas prime is a Lucas number that is prime. The first few Lucas primes are In mathematics, the Fibonacci numbers form a sequence defined recursively by: In words: you start with 0 and 1, and then produce the next Fibonacci number by adding the two previous Fibonacci numbers. ... In mathematics, a prime number (or prime) is a natural number greater than one whose only positive divisors are one and itself. ...

2, 3, 7, 11, 29, 47, 199, ...

Note that every Lucas number is prime only if its index is prime (n=p) except n=4,8,16. The sufficient condition is false, however.

 

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