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 A341214 #20 Apr 01 2021 05:59:53 %S A341214 2,7,47,1019,55414379 %N A341214 a(n) is the smallest prime p such that p, p - 1, p - 2, ..., p - n + 1 have 2, 4, 6, ..., 2*n divisors respectively. %C A341214 a(n) is the smallest prime p such that tau(p) = tau(p - 1)/2 = tau(p - 2)/3 = ... = tau(p - n + 1)/n = 2, where tau(k) = the number of divisors of k (A000005). %C A341214 No such prime p exists for n > 5, so a(5) is the final term. - _Jon E. Schoenfield_, Feb 07 2021 %H A341214 Jon E. Schoenfield, <a href="/A341214/a341214.txt">A proof that a(5) is the final term</a> %e A341214 a(4) = 1019 because 1016, 1017, 1018 and 1019 have 8, 6, 4, and 2 divisors respectively and there is no smaller prime having this property (see A340872). %Y A341214 Cf. A341213 (similar sequence for natural numbers). %Y A341214 Cf. A000005, A294528, A340871, A340872. %K A341214 nonn,fini,full %O A341214 1,1 %A A341214 _Jaroslav Krizek_, Feb 07 2021