A164893 Base 10 representation of the string formed by appending primes in base 2.

2, 11, 93, 751, 12027, 192445, 6158257, 197064243, 6306055799, 201793785597, 6457401139135, 413273672904677, 26449515065899369, 1692768964217559659, 108337213709923818223, 6933581677435124366325, 443749227355847959444859, 28399950550774269404471037

Offset: 1

Author

Gil Broussard, Aug 29 2009

Keywords

• base
• easy
• nonn

Comments

The subsequence of primes begins: 2, 11, 751. [Jonathan Vos Post, May 26 2010]

Examples

			The primes in base 2 (10, 11, 101, 111,...) concatenated by appending give the first four binary terms 10, 1011, 1011101, 1011101111; or 2, 11, 93, 751 base 10.
		

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..335 (all terms under 1000 digits)

Crossrefs

Cf. A000040, A004676, A007088, A100003, A154703.

Programs

Mathematica

nn=20;With[{b2p=IntegerDigits[#,2]&/@Prime[Range[nn]]},Table[ FromDigits[ Flatten[ Take[b2p,n]],2],{n,nn}]] (* Harvey P. Dale, Mar 26 2013 *)

PARI

list(n)=my(p=primes(n),s);vector(n,i,s=s<<#binary(p[i])+p[i]) \\ Charles R Greathouse IV, Mar 26 2013

Formula

a(n) = A154703(n) [converted from base 2 to base 10]. [Jonathan Vos Post, May 26 2010]

Extensions

Corrected by Harvey P. Dale, Mar 26 2013