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A054810 Third term of strong prime 5-tuples: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1). 3

%I #14 Nov 13 2020 14:04:38

%S 1663,1783,1861,1867,1993,2377,2467,2521,2531,3449,3457,4211,4513,

%T 5273,5413,5437,6037,6653,7237,7297,7753,7873,7927,8161,8513,9601,

%U 9613,11047,11383,11587,11827,12401,13873,14821,15131,15541,16057,16319

%N Third term of strong prime 5-tuples: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).

%H M. F. Hasler, <a href="/A054810/b054810.txt">Table of n, a(n) for n = 1..2000</a> (first 1001 terms by Harvey P. Dale).

%t spqQ[{a_,b_,c_,d_,e_}]:=(b-a)>(c-b)>(d-c)>(e-d); Transpose[ Select[ Partition[ Prime[ Range[2000]],5,1],spqQ]][[3]] (* _Harvey P. Dale_, Feb 25 2013 *)

%Y Cf. A051634, A051635; A054800 .. A054803: members of balanced prime quadruples (= 4 consecutive primes in arithmetic progression); A054804 .. A054818: members of strong prime 4-tuples, 5-tuples, 6-tuples; A054819 .. A054840: members of weak prime 4-tuples, ..., 7-tuples.

%K nonn

%O 1,1

%A _Henry Bottomley_, Apr 10 2000

%E Edited and offset corrected to 1 by _M. F. Hasler_, Oct 27 2018

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)