A143726 - OEIS

A143726

Middle members of beastly cousin prime triples: primes p such that both p+666 and p-666 are prime.

733, 773, 823, 857, 877, 947, 997, 1033, 1087, 1123, 1213, 1223, 1283, 1307, 1327, 1423, 1487, 1607, 1993, 2027, 2137, 2153, 2237, 2273, 2287, 2333, 2543, 2663, 2677, 2693, 2797, 2803, 2917, 3187, 3257, 3323, 3407, 3433, 3463, 3467, 3593, 3623, 3847

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

OFFSET

1,1

LINKS

Felix Fröhlich, Table of n, a(n) for n = 1..10000

EXAMPLE

733 - 666 = 67, 733 + 666 = 1399 and 67, 733, 1399 are all prime, so 733 is a term of the sequence. - Felix Fröhlich, May 26 2022

MATHEMATICA

lst={}; b=666; Do[p=Prime[n]; If[PrimeQ[p+b]&&PrimeQ[p-b], AppendTo[lst, p]], {n, 5!+2, 7!}]; lst

Select[Prime[Range[122, 600]], AllTrue[#+{666, -666}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Apr 08 2018 *)

PROG

(PARI) forprime(p=1, 3900, if(ispseudoprime(p+666) && ispseudoprime(p-666), print1(p, ", "))) \\ Felix Fröhlich, May 26 2022

CROSSREFS

Cf. A007529 (p, p+2 or +4, p+6 prime), A023200 (p and p+4 prime), A046132 (p-4 and p prime), A073648 (p-2, p and p+4 prime).

Sequence in context: A044988 A288882 A178093 * A180919 A166607 A346024

Adjacent sequences: A143723 A143724 A143725 * A143727 A143728 A143729

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Aug 30 2008

EXTENSIONS

Name edited by Felix Fröhlich, May 26 2022

STATUS

approved