A035793 Start of a string of exactly 5 consecutive (but disjoint) pairs of twin primes.

909287, 2596619, 9617981, 12628337, 18873497, 21579629, 25739771, 34140077, 39433367, 62832101, 67369397, 84733211, 90122507, 102243017, 132826607, 140456711, 142749149, 180929687, 201057539, 212461979, 219970547, 228001649

Offset: 1

Author

Randall L Rathbun

Keywords

• nonn

Links

• Vasily Danilov, Table of n, a(n) for n = 1..10000 (terms a(23)-a(500) from _Sebastian Petzelberger).
• Randall Rathbun, A study of n-twin_prime clusters among prime numbers, Posting to Number Theory List, Nov 19 1998.

Crossrefs

Cf. A001359, A035789, A035790, A035791, A035792, A035793, A035794, A035795, A087641.

Programs

Mathematica

lst={};Do[p0=Prime[n];p1=Prime[n+1];p2=Prime[n+2];p3=Prime[n+3];p4=Prime[n+4];p5=Prime[n+5];p6=Prime[n+6];p7=Prime[n+7];p8=Prime[n+8];p9=Prime[n+9];If[p1-p0==p3-p2==p5-p4==p7-p6==p9-p8==2,AppendTo[lst,p0]],{n,10!}];lst (* Vladimir Joseph Stephan Orlovsky, Apr 02 2010 *)

Extensions

a(11)-a(22) from Hugo Pfoertner, Sep 16 2003

Offset corrected by Arkadiusz Wesolowski, May 06 2012