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 A162569 #12 Feb 15 2025 16:18:46
%S A162569 2,5,97,109,149,317,337,349,431,709,769,1009,1061,1117,1129,1217,1297,
%T A162569 2003,2029,2069,2129,2153,2237,2377,2411,2437,2777,2909,2927,3089,
%U A162569 3109,3229,3359,3533,3557,3631,4129,4337,4603,4789,4903,4937,5021,5167,5563,5737
%N A162569 Primes of the form A001043(j)-3.
%C A162569 Primes 3 less than the sum of two consecutive primes.
%H A162569 Vincenzo Librandi, <a href="/A162569/b162569.txt">Table of n, a(n) for n = 1..5000</a>
%e A162569 2 = prime(1)+prime(2)-3 = 2+3-3 has the requested format and is added to the sequence.
%e A162569 5= prime(2)+prime(3)-3= 3+5-3 has the requested format and is added to the sequence.
%e A162569 97 = prime(15)+prime(16)-3 = 47+53-3.
%t A162569 Select[Table[Prime[n] + Prime[n + 1] - 3, {n, 600}], PrimeQ] (* _Vladimir Joseph Stephan Orlovsky_, Feb 22 2012 *)
%t A162569 Select[Total/@Partition[Prime[Range[500]],2,1]-3,PrimeQ] (* _Harvey P. Dale_, Feb 15 2025 *)
%K A162569 nonn
%O A162569 1,1
%A A162569 _Claudio Meller_, Jul 06 2009
%E A162569 Definition rephrased by _R. J. Mathar_, Aug 07 2009