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A305414
Numbers k such that F(k)*F(k+1) + F(k+2) is a prime, where F = A000045 (Fibonacci numbers).
0
1, 2, 3, 4, 5, 7, 8, 10, 11, 15, 16, 18, 29, 40, 55, 134, 159, 261, 276, 519, 1792, 2045, 2111, 2830, 2878, 3575, 6301, 7394, 9432, 13558, 19714, 21396, 25731, 26790, 28792, 32070, 33951, 46997, 63134, 66272, 67619, 70448, 75525, 77994, 90437
OFFSET
1,2
COMMENTS
Primes in A305412.
a(46) > 10^5. - Robert Price, Jun 18 2018
MATHEMATICA
Select[Range[1000], PrimeQ[(Fibonacci[#] Fibonacci[# + 1] + Fibonacci[# + 2])]&]
PROG
(Magma) [n: n in [1..1500] | IsPrime(Fibonacci(n) * Fibonacci(n+1) + Fibonacci(n+2))];
CROSSREFS
Sequence in context: A190850 A066077 A219040 * A373289 A317296 A103740
KEYWORD
nonn
AUTHOR
Vincenzo Librandi, Jun 09 2018
EXTENSIONS
More terms from Vaclav Kotesovec, Jun 11 2018
a(39) from Giovanni Resta, Jun 11 2018
a(40)-a(45) from Robert Price, Jun 18 2018
STATUS
approved