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A161611 Primes that are a sum of 7 consecutive Fibonacci numbers. 1
53, 139, 953, 44771, 189653, 1494692464747, 26821168009247, 49900729438853608883, 5173807429197933544505507, 235602509965217050702320581591948981 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes of the form F(k+7)-F(k), where F(k) is a Fibonacci number. - Paolo P. Lava, Jul 19 2012

LINKS

Table of n, a(n) for n=1..10.

FORMULA

{prime(j): prime(j) = A022096(k) for some k>4}. [R. J. Mathar, Jun 18 2009]

EXAMPLE

a(1) = 53 = 1+2+3+5+8+13+21 is prime;

a(2) = 139 = 3+5+8+13+21+34+55 is prime.

MATHEMATICA

Clear[Sum7Fibo]; Sum7Fibo[a_]:=Module[{p}, p=Fibonacci[a]+Fibonacci[a+1]+Fibonacci[a+2]+Fibonacci[a+3]+Fibonacci[a+4]+Fibonacci[a+5]+Fibonacci[a+6]]; lst={}; Do[If[PrimeQ[p=Sum7Fibo[n]], AppendTo[lst, p]], {n, 6!}]; Print[lst]; Clear[Sum7Fibo];

CROSSREFS

Sequence in context: A044685 A239721 A142259 * A251076 A142043 A175600

Adjacent sequences:  A161608 A161609 A161610 * A161612 A161613 A161614

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jun 14 2009

STATUS

approved

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Last modified November 19 16:36 EST 2019. Contains 329323 sequences. (Running on oeis4.)