The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 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 A346185 A083069 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.

Last modified December 7 09:15 EST 2021. Contains 349574 sequences. (Running on oeis4.)