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 A164374 #7 Jul 23 2025 14:35:45
%S A164374 5,7,8,9,10,12,13,14,16,18,103,104,106,108,112,133,134,136,138,142,
%T A164374 153,154,156,158,162,183,184,186,188,192,193,194,196,198,202,232,252,
%U A164374 282,292,312,315,316,318,320,322,324,332,342,355,356,358,360,364,372,375,376,378
%N A164374 Numbers that are the sum of 2 distinct palindromic primes.
%C A164374 Numbers of the form A002385(i)+A002385(j), i<> j.
%e A164374 a(1)=2+3=5. a(2)=2+5=7. a(3)=3+5=8. 11+191=202. 101+131=232.
%t A164374 Select[Range[400],Count[IntegerPartitions[#,{2}],_?(AllTrue[#,PrimeQ]&&AllTrue[#,PalindromeQ]&&#[[1]]!=#[[2]]&)]>0&] (* _Harvey P. Dale_, Jul 23 2025 *)
%Y A164374 Cf. A002385, A046400, A115683.
%K A164374 nonn,base
%O A164374 1,1
%A A164374 _Juri-Stepan Gerasimov_, Aug 14 2009
%E A164374 Missing numbers inserted by _R. J. Mathar_, Aug 26 2009