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 A113833 #16 Jun 18 2021 15:07:34 %S A113833 3,7,7,19,67,5,17,89,1277,209173,322573,536773,1217893,2484733 %N A113833 Triangle read by rows: row n (n>=2) gives a set of n primes such that the averages of all subsets are distinct primes, having the smallest largest element. %C A113833 If there is more than one set with the same smallest last element, choose the lexicographically earliest solution. %C A113833 Note that, in each row, the n primes are equal modulo 4, 12, 12 and 120, respectively. - Row 5 from _T. D. Noe_, Aug 08 2006 %D A113833 Antal Balog, The prime k-tuplets conjecture on average, in "Analytic Number Theory" (eds. B. C. Berndt et al.) Birkhäuser, Boston, 1990, pp. 165-204. [Background] %H A113833 Jens Kruse Andersen, <a href="http://primerecords.dk/aprecords.htm">Primes in Arithmetic Progression Records</a> [May have candidates for later terms in this sequence.] %H A113833 Andrew Granville, <a href="http://www.dms.umontreal.ca/~andrew/PDF/PrimePatterns.pdf">Prime number patterns</a> %e A113833 Triangle begins: %e A113833 3, 7 %e A113833 7, 19, 67 %e A113833 5, 17, 89, 1277 %Y A113833 Cf. A113827-A113831, A113832, A113834, A088430. %K A113833 nonn,tabf,more %O A113833 2,1 %A A113833 _N. J. A. Sloane_, Jan 25 2006 %E A113833 Row 5 from _T. D. Noe_, Aug 08 2006