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A136341 Fibonacci primes or semiprimes F(k) such that F(k+1) is again prime or semiprime. +0
1
2, 3, 13, 21, 34, 55, 233, 17711 (list; graph; listen)
OFFSET

1,1

FORMULA

Let F(n) = n-th Fibonacci number and define a 2-almost prime number to be a number with only 2 prime divisors with multiplicity.

EXAMPLE

(55,89) is an almost twin Fibonacci prime pair because 55=5*11 is a 2-almost prime and 89 is prime.

PROGRAM

(PARI) ATfib(n) = for(x=3, n, f1=fibonacci(x); f2=fibonacci(x+1); if(bigomega (f1)<=2&&bigomega(f2)<=2, print1(f1", ")))

(PARI) for( k=3, 10^5, bigomega( fibonacci( k++ ))>2 & next; bigomega( fibonacci( k-1 ))>2 & next; print1(fibonacci(k--)", ")) \\ - M. F. Hasler, May 01 2008

CROSSREFS

Cf. A001358.

Adjacent sequences: A136338 A136339 A136340 this_sequence A136342 A136343 A136344

Sequence in context: A135118 A084958 A037392 this_sequence A139563 A019226 A138699

KEYWORD

more,nonn

AUTHOR

Cino Hilliard (hillcino368(AT)hotmail.com), Mar 28 2008

EXTENSIONS

Edited by M. F. Hasler (Maximilian.Hasler(AT)gmail.com), May 01 2008

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Last modified January 7 17:35 EST 2009. Contains 152824 sequences.


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