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 A373533 #20 Jun 30 2024 19:31:54
%S A373533 5,23,499,13093,501343,162598021,25296334003
%N A373533 Least starting prime of exactly n consecutive primes p_i (i = 1..n) such that omega(p_i + 1) = 1 + i.
%e A373533 a(1) = 5, because omega(5+1) = 2, and no lesser number has this property.
%e A373533 For n=3, the primes starting at a(3) = 499 are as follows and are a run of exactly 3 omega = i+1,
%e A373533 i = 1 2 3
%e A373533 p = 499, 503, 509, 521
%e A373533 omega(p+1) = 2, 3, 4, 3
%e A373533 \-----------/
%t A373533 a[n_]:=Module[{k=1},While[Product[Boole[PrimeNu[Prime[k+i-1]+1]==1+i],{i,n}]==0, k++]; Prime[k]]; Array[a,5] (* _Stefano Spezia_, Jun 10 2024 *)
%Y A373533 Cf. A001221, A086560, A369097.
%K A373533 nonn,more
%O A373533 1,1
%A A373533 _Jean-Marc Rebert_, Jun 08 2024