

A164893


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


1



2, 11, 93, 751, 12027, 192445, 6158257, 197064243, 6306055799, 201793785597, 6457401139135, 413273672904677, 26449515065899369, 1692768964217559659, 108337213709923818223, 6933581677435124366325, 443749227355847959444859, 28399950550774269404471037
(list;
graph;
refs;
listen;
history;
text;
internal format)



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 * A099697 A083069 A158837
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



