login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 8 18:37 EST 2019. Contains 329865 sequences. (Running on oeis4.)