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A180280 Fibonacci numbers written in base 2, read as decimal numbers which then are prime. 0
11, 101, 1011001, 100010100101111, 1100110010100000101000011101110110101011001011001101111101101011010101110010101, 1101011110011100100011101000011100001010001101001011001100110100000011001101101001010011011001100101010111 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subset of A020449 (Primes that contain digits 0 and 1 only).

Generated by A000045(k), k= 4, 5, 11, 22, 115, 154,... [R. J. Mathar, Aug 26 2010]

LINKS

Table of n, a(n) for n=1..6.

FORMULA

Primes in A004685. Primes in {A007088(A000045(n))}.

EXAMPLE

a(1) = 11 because 3 is the 4th Fibonacci number, 3 (base 2) = 11, and 11 (base 10) is prime.

a(2) = 101 because 5 is the 5th Fibonacci number, 5 (base 2) = 101, and 101 (base 10) is prime.

a(3) = 1011001 because 89 is the 11th Fibonacci number, 89 (base 2) = 1011001, and 1011001 (base 10) is prime.

a(4) = 100010100101111 because 17711 is the 22nd Fibonacci number, 17711 (base 2) = 100010100101111, and 100010100101111 (base 10) is prime.

CROSSREFS

Cf. A000040, A000045, A004685, A005478, A007088, A020449.

Sequence in context: A185949 A001387 A247863 * A100580 A253631 A087744

Adjacent sequences:  A180277 A180278 A180279 * A180281 A180282 A180283

KEYWORD

nonn,base,less

AUTHOR

Jonathan Vos Post, Aug 24 2010

EXTENSIONS

Two more terms from R. J. Mathar, Aug 26 2010

STATUS

approved

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Last modified April 26 08:11 EDT 2019. Contains 322472 sequences. (Running on oeis4.)