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A113192 Primes that are the difference of two Lucas numbers; primes in A113191. 4
2, 3, 5, 7, 11, 17, 29, 43, 47, 73, 181, 197, 199, 293, 311, 503, 521, 839, 1361, 2131, 2203, 2207, 3571, 5749, 9349, 13763, 23633, 24469, 24473, 38239, 103483, 103681, 161983, 167759, 271367, 399601, 439081, 439157, 709283, 1692737, 3010349 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The difference L(i)-L(j) equals the sum L(j+1)+...+L(i+2).

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

EXAMPLE

The prime 181 is here because it is L(11)-L(6).

MATHEMATICA

Lucas[n_] := Fibonacci[n+1]+Fibonacci[n-1]; lst={}; Do[p=Lucas[n]-Lucas[i]; If[PrimeQ[p], AppendTo[lst, p]], {n, 2, 40}, {i, 0, n-2}]; Union[lst]

CROSSREFS

Cf. A000032 (Lucas numbers), A001606 (Lucas(n) is prime), A113193 (number of times that Lucas(n)-Lucas(i) is prime for i=0..n-3).

Sequence in context: A133670 A127272 A238528 * A077673 A071255 A062294

Adjacent sequences:  A113189 A113190 A113191 * A113193 A113194 A113195

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.)