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 A362779 #12 Jun 25 2023 01:03:19 %S A362779 2,3,5,7,13,19,5,7,73,97,11,241,19,37,601,103,131,2161,67,277,149,71, %T A362779 593,15121,20161,79,30241,35281,661,7331,1657,161281,449,241921, %U A362779 282241,6863,269,2477,1088641,1451521,78887,2177281,5281,2903041,192113,329891,29383,10886401,62297,18144001,2243,251501,29030401,32659201,843907 %N A362779 Triangular array read by rows: T(n,k) is the greatest prime factor of n!*k + 1, n >= 1, 1 <= k <= n. %C A362779 The primes in each row are distinct because n!*k + 1 are coprime for 1 <= k <= n, and hence this array gives a simple proof that there are infinitely many prime numbers. %F A362779 T(n,k) = A006530(A362777(n,k)) %e A362779 Triangle T(n,k) begins: %e A362779 n\k 1 2 3 4 5 6 ... %e A362779 1 2 %e A362779 2 3 5 %e A362779 3 7 13 19 %e A362779 4 5 7 73 97 %e A362779 5 11 241 19 37 601 %e A362779 6 103 131 2161 67 277 149 %e A362779 ... %Y A362779 Cf. A362777, A362778. %Y A362779 Cf. A002583 (1st column). %K A362779 tabl,nonn %O A362779 1,1 %A A362779 _Joe B. Stephen_, May 03 2023