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A113193 Number of times that Lucas(n)-Lucas(i) is prime for i=0..n-3. 2
1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 3, 1, 0, 2, 2, 1, 3, 1, 0, 1, 0, 3, 3, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 4, 2, 1, 3, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 3, 0, 2, 1, 2, 1, 0, 0, 2, 3, 0, 1, 1, 3, 0, 1, 0, 1, 0, 0, 4, 1, 1, 1, 2, 1, 0, 1, 0, 3, 1, 1, 0, 2, 4, 1, 1, 0, 3, 0, 0, 5, 0, 1, 2, 1, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,9

COMMENTS

We exclude i=n-2 and i=n-1 because they yield Lucas(n-2) and Lucas(n-1), respectively. Sequence A113194 lists the n for which a(n)=0.

LINKS

Table of n, a(n) for n=3..107.

MATHEMATICA

Lucas[n_] := Fibonacci[n+1]+Fibonacci[n-1]; Table[cnt=0; Do[If[PrimeQ[Lucas[n]-Lucas[i]], cnt++ ], {i, 0, n-3}]; cnt, {n, 3, 150}]

CROSSREFS

Cf. A113192 (primes that are the difference of two Lucas numbers).

Sequence in context: A078082 A307090 A079674 * A239110 A278514 A243840

Adjacent sequences:  A113190 A113191 A113192 * A113194 A113195 A113196

KEYWORD

nonn

AUTHOR

T. D. Noe, Oct 17 2005

STATUS

approved

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Last modified August 3 08:10 EDT 2020. Contains 336197 sequences. (Running on oeis4.)