This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A118467 #26 Aug 28 2021 18:18:55 %S A118467 619,1069,1459,1499,1759,1789,2861,3331,3931,4177,4801,4831,5419,6229, %T A118467 6397,8431,8893,9067,9631,11003,11131,11789,12619,14251,15331,15889, %U A118467 16661,17683,17939,18269,18553,19219,19391,19507,20029,20759,22039,22159,22171,22549 %N A118467 Primes p = prime(i) of level (1,3), i.e., such that A118534(i) = prime(i-3). %C A118467 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 A118467 Remi Eismann, <a href="/A118467/b118467.txt">Table of n, a(n) for n = 1..10000</a> %e A118467 prime(115) - prime(114) = 631 - 619 = 619 - 607 = prime(114) - prime(114-3). %t A118467 Select[Partition[Prime[Range[2600]],5,1],#[[5]]-#[[4]]==#[[4]]-#[[1]]&][[All,4]] (* _Harvey P. Dale_, Aug 28 2021 *) %Y A118467 Subsequence of A125830 and A162174. %Y A118467 Cf. A006562 (primes of level (1,1)), A117078, A117563, A117876, A118464. %K A118467 nonn %O A118467 1,1 %A A118467 _Rémi Eismann_, May 24 2006 %E A118467 Definition and comment reworded, following author's suggestions, by _M. F. Hasler_, Nov 30 2009