login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A191232 Concatenation of primes written in base 2 (A004676). 7

%I #34 Jul 04 2022 01:36:34

%S 1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,1,1,0,0,1,1,1,0,1,1,1,1,

%T 1,1,0,1,1,1,1,1,1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,

%U 1,0,1,0,1,1,1,1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1

%N Concatenation of primes written in base 2 (A004676).

%C Binary expansion of the "binary" Copeland-Erdős constant: concatenate primes in base two. - _Daniel Forgues_, Mar 25 2018

%C Could be read as a table whose rows are the binary digits of the n-th prime, A004676(n). - _M. F. Hasler_, Oct 25 2019

%e 0.10111011111011110110001... ("binary" Copeland-Erdős constant).

%e The prime number 23 is 10111 in base 2, and 1, 0, 1, 1, 1 is in the sequence, a(29) through a(33). - _Michael B. Porter_, Apr 05 2018

%t IntegerDigits[#, 2] & /@ Prime@ Range@ 19 // Flatten (* _Michael De Vlieger_, Apr 07 2018 *)

%o (PARI) concat(binary(vector(20,n,prime(n)))) \\ _M. F. Hasler_, Oct 08 2011

%o (Python)

%o from sympy import nextprime

%o from itertools import islice

%o def agen(p=2): # generator of terms

%o while True: yield from (int(b) for b in bin(p)[2:]); p = nextprime(p)

%o print(list(islice(agen(), 92))) # _Michael S. Branicky_, Jul 03 2022

%Y Cf. A004676 (primes in binary), A066747 (decimal expansion of the constant), A033308 (Copeland-Erdős constant in base 10), A190480.

%K nonn,base

%O 1

%A _Juri-Stepan Gerasimov_, May 27 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 07:48 EDT 2024. Contains 371235 sequences. (Running on oeis4.)