%I #22 Jun 19 2021 04:00:37

%S 6581,7963,13063,14107,17053,17627,20563,21347,22193,22877,28319,

%T 30727,34981,35171,41549,42101,45197,46103,48823,53201,53899,56269,

%U 65449,65993,66191,69031,69403,73613,74101,74323,75797,81973,86209,91463,96293,101537,102563

%N Primes p=prime(i) of level (1,4), i.e., such that A118534(i) = prime(i-4).

%C If prime(i) has level 1 in A117563 and 2*prime(i) - prime(i+1) = prime(i-k), then we say that prime(i) has level (1,k).

%H Fabien Sibenaler, <a href="/A216177/b216177.txt">Table of n, a(n) for n = 1..10000</a>

%e a(2) = 7963 = prime(1006) because 2*prime(1006) - prime(1007) = 2*7963 - 7993 = 7933 = prime(1002).

%t With[{m = 4}, Prime@ Select[Range[m + 1, 10^4], If[MemberQ[{1, 2, 4}, #], 0, 2 Prime[#] - Prime[# + 1]] == Prime[# - m] &]] (* _Michael De Vlieger_, Jul 16 2017 *)

%Y Subsequence of A125830 and A162174.

%Y Cf. A117078, A117563, A006562 (primes of level (1,1)), A117876, A118464, A118467, A119402, A119403, A119404, A125565, A125572, A125574, A125576, A125623.

%K nonn

%O 1,1

%A _Fabien Sibenaler_, Mar 10 2013