login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

Sixth term of weak prime septet: p(m-4)-p(m-5) < p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m).
3

%I #13 Oct 30 2018 20:15:07

%S 15413,64969,68239,68927,129011,129023,143551,154127,158047,192431,

%T 221747,222461,244507,249779,285377,318713,337313,354401,357913,

%U 374239,385433,394759,402613,402631,419651,439217,441971,448451,457433,457711,458239,482539,528013

%N Sixth term of weak prime septet: p(m-4)-p(m-5) < p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m).

%H M. F. Hasler, <a href="/A054839/b054839.txt">Table of n, a(n) for n = 1..233</a>, Oct 27 2018.

%F a(n) = A151800(A054838(n)) = A151799(A054840(n)), A054839 = { m = A054832(n) | m = A151800(A054832(n-1)) } (A151800: nextprime, A151799: prevprime). - _M. F. Hasler_, Oct 27 2018

%t Transpose[Select[Partition[Prime[Range[50000]],7,1],Min[ Differences[ #,2]]> 0&]][[6]] (* _Harvey P. Dale_, Sep 27 2015 *)

%Y Cf. A051635; A054800 .. A054803: members of balanced prime quartets (= consecutive primes in arithmetic progression); A054804 .. A054818: members of strong prime quartets, quintets, sextets; A054819 .. A054840: members of weak prime quartets, quintets, sextets, septets.

%K nonn

%O 1,1

%A _Henry Bottomley_, Apr 10 2000

%E More terms from _Harvey P. Dale_, Sep 27 2015