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 A363672 #10 Jul 23 2023 22:27:28 %S A363672 2,2,3,3,5,7,2,5,7,11,3,5,11,13,17,2,5,7,13,17,19,3,5,11,13,19,23,29, %T A363672 5,11,13,19,23,31,37,41,2,7,13,17,23,29,37,41,43,5,7,17,23,29,37,41, %U A363672 47,53,59,3,11,13,23,31,37,43,47,59,61,67,2,5,13,17,29 %N A363672 Triangular array: row n lists the primes indexed by the array in A363671. %C A363672 Row n lists primes of the form prime(n+2)-2*k where A028334(n) <= k <= A067076(n). %e A363672 First 10 rows: %e A363672 2 %e A363672 2 4 %e A363672 3 5 7 %e A363672 2 5 7 11 %e A363672 3 5 11 13 17 %e A363672 2 5 7 13 17 19 %e A363672 3 5 11 13 19 23 29 %e A363672 5 11 13 19 23 31 37 41 %e A363672 2 7 13 17 23 29 37 41 43 %e A363672 5 7 17 23 29 37 41 47 53 59 %e A363672 For row 6, we have prime(8) = 19, and prime 19-2*k is prime for these k: 1, 3, 4, 6, 7, 8. The primes with indexes 1,3,4,6,7,8 are 2,5,7,13,17,19. %t A363672 m[p_] := Select[Range[500], PrimeQ[p - 2 #] && p > 2 # &] %t A363672 t = Prime[Table[m[Prime[n]], {n, 3, 15}]] %t A363672 TableForm[t] (* this sequence as an array *) %t A363672 Flatten[t] (* this sequence *) %Y A363672 Cf. A000040, A087478 (column 1), A363671. %K A363672 nonn,tabl %O A363672 1,1 %A A363672 _Clark Kimberling_, Jun 15 2023