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A153892 Primes of the form: sum of five consecutive Fibonacci numbers is prime number. 2
7, 19, 31, 131, 1453, 2351, 42187, 1981891, 3206767, 13584083, 332484016063, 66165989928299, 146028309791690867, 1619478772188347101, 47020662244482792763, 229030451631542624193448579 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Primes of the form F(k+5)-F(k), where F(k) is a Fibonacci number. - Paolo P. Lava, Jul 19 2012

a(29) has 948 digits; a(30) has 1253 digits. - Harvey P. Dale, Jan 13 2013

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..29

EXAMPLE

a(1) = 7 = 0+1+1+2+3 is prime;

a(2) = 19 = 1+2+3+5+8 is prime;

a(3) = 31 = 2+3+5+8+13 is prime, etc.

MATHEMATICA

a=0; b=1; c=1; d=2; lst={}; Do[e=Fibonacci[n]; p=a+b+c+d+e; If[PrimeQ[p], AppendTo[lst, p]]; a=b; b=c; c=d; d=e, {n, 4, 6!}]; lst

Select[Total/@Partition[Fibonacci[Range[0, 150]], 5, 1], PrimeQ] (* Harvey P. Dale, Jan 13 2013 *)

CROSSREFS

Cf. A000045, A001906, A000071, A001605, A013655, A153862, A153863, A153865, A153866, A153867, A153887, A153888, A153889, A153890, A153891.

Sequence in context: A216531 A216564 A145042 * A038869 A147503 A147465

Adjacent sequences:  A153889 A153890 A153891 * A153893 A153894 A153895

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jan 03 2009

STATUS

approved

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Last modified November 19 00:12 EST 2019. Contains 329310 sequences. (Running on oeis4.)