|
Search: id:A136341
|
|
|
| A136341 |
|
Fibonacci primes or semiprimes F(k) such that F(k+1) is again prime or semiprime. |
|
+0 1
|
| |
|
|
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
|
|
|
Search completed in 0.002 seconds
|