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 A181424 #18 Oct 09 2023 13:44:32 %S A181424 7,59,163,179,223,263,269,379,569,599,613,659,739,953,983,1109,1129, %T A181424 1193,1229,1373,1523,1753,1759,1913,2293,2423,2683,2909,2969,3313, %U A181424 3319,3643,3739,4019,4421,4463,4603,4663,4703,4999,5113,5119,5309,5393,5399 %N A181424 Primes p such that p and the two previous primes are in arithmetic progression. %C A181424 Call d(i)=p(i+2)-p(i+1) and dd(i)=d(i+1)-d(i) then dd(i)=0. %C A181424 All related first differences are multiples of 6 except the first one, which is 2. %H A181424 Reinhard Zumkeller, <a href="/A181424/b181424.txt">Table of n, a(n) for n = 1..10000</a> %F A181424 a(n) = A000040(A064113(n) + 2). - _Reinhard Zumkeller_, Jan 20 2012 %e A181424 a(7)=269 since d(269,263)=6 and d(263,257)=6 and their difference is 0. %t A181424 Select[Partition[Prime[Range[750]],3,1],Length[Union[Differences[#]]]==1&][[;;,3]] (* _Harvey P. Dale_, Oct 09 2023 *) %o A181424 (Haskell) %o A181424 a181424 = a000040 . (+ 2) . a064113 -- _Reinhard Zumkeller_, Jan 20 2012 %Y A181424 Cf. A000045, A054643, A122535, A006562. %K A181424 nonn %O A181424 1,1 %A A181424 _Carmine Suriano_, Oct 18 2010