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

1,1

Comments

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

Links

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

Formula

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

Example

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.

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 *)

Prog

(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

Crossrefs

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

Sequence in context: A225623 A005366 A068392 * A355111 A363116 A099697

Adjacent sequences: A164890 A164891 A164892 * A164894 A164895 A164896

Keyword

base,easy,nonn

Author

Gil Broussard, Aug 29 2009

Extensions

Corrected by Harvey P. Dale, Mar 26 2013

Status

approved