A152295 - OEIS

The OEIS is supported by the many generous donors to the OEIS 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 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A152295

Primes of the form : (p-n)/(n+1)=prime and (n+1)*p+n=prime. n=5.

17, 71, 83, 107, 191, 227, 251, 263, 431, 443, 479, 503, 587, 827, 839, 911, 983, 1091, 1151, 1163, 1187, 1619, 1667, 1847, 1907, 2087, 2243, 2459, 2591, 3023, 3467, 4463, 4871, 4943, 5471, 5519, 5651, 5807, 5903, 6131, 6203, 6299, 6311, 6563, 6983, 7127

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

This is the general form : (p-n)/(n+1)=primeand(n+1)*p+n=prime; 'Safe' primes and'Sophie Germain' primes just one part of this general form; If n=1 then we got'Safe' primes and'Sophie Germain' primes.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..3000

MATHEMATICA

lst={}; n=5; Do[p=Prime[k]; If[PrimeQ[(p-n)/(n+1)]&&PrimeQ[(n+1)*p+n], AppendTo[lst, p]], {k, 7!}]; lst

Select[Prime[Range[1000]], AllTrue[{(#-5)/6, 6#+5}, PrimeQ]&] (* This program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jul 29 2014 *)

CROSSREFS

Cf. A059455, A152292, A152293, A152294

Sequence in context: A180532 A179038 A179039 * A039407 A043230 A044010

Adjacent sequences: A152292 A152293 A152294 * A152296 A152297 A152298

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Dec 02 2008

STATUS

approved