login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo

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 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A175873 Primes of the form prime(k+1) + prime(k+2) - prime(k). 5
13, 17, 19, 23, 37, 47, 67, 89, 103, 107, 109, 113, 131, 151, 173, 193, 199, 233, 239, 269, 277, 317, 353, 359, 373, 389, 409, 431, 433, 443, 449, 463, 467, 499, 503, 563, 577, 593, 607, 619, 653, 709, 719, 727, 773, 811, 823, 829, 863, 881, 887, 911, 937, 947, 997, 1033 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Some terms can be obtained in more than one way.

For example 47 =37+41-31 = 41+43-37.

The formula in the definition adds a previous prime gap prime(k+1)-prime(k) to the prime(k+2); the gap is basically >=2, so there is a minimal growth which yields safe bounds to algorithms.

LINKS

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

EXAMPLE

13 = 7+11-5, 17=11+13-7

PROG

(PARI) list(lim)=my(v=List(), t, p=2, q=3); forprime(r=5, lim-2, t=q+r-p; if(isprime(t) && t<=lim, listput(v, t)); p=q; q=r); Set(v) \\ Charles R Greathouse IV, Feb 23 2017

CROSSREFS

Sequence in context: A165681 A214033 A268593 * A167802 A105878 A054476

Adjacent sequences: A175870 A175871 A175872 * A175874 A175875 A175876

KEYWORD

nonn

AUTHOR

Claudio Meller, Dec 05 2010

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 10 02:09 EST 2022. Contains 358712 sequences. (Running on oeis4.)