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A305414 Numbers n such that F(n)*F(n+1) + F(n+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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Primes in A305412: 3, 5, 11, 23, 53, 307, 769, 5039, 13049, 603667, 1578823, 10810469, 427860443429, 16944504081930151, 31525215457325198354227, etc.

a(46) > 10^5. - Robert Price, Jun 18 2018

LINKS

Table of n, a(n) for n=1..45.

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

Cf. A000045, A305412.

Sequence in context: A190850 A066077 A219040 * A317296 A103740 A317578

Adjacent sequences:  A305411 A305412 A305413 * A305415 A305416 A305417

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

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Last modified June 14 10:04 EDT 2021. Contains 345025 sequences. (Running on oeis4.)