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 A054834 #12 Mar 14 2025 20:03:00
%S A054834 15373,64919,68207,68897,128981,128983,143509,154079,157999,192373,
%T A054834 221717,222379,244457,249721,285287,318677,337277,354371,357823,
%U A054834 374173,385391,394727,402581,402583,419597,439157,441907,448373,457397,457669,458189,482507,527981,529811,577529,582761,655909
%N A054834 First term of weak prime septet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4) < p(m+6)-p(m+5).
%H A054834 M. F. Hasler, <a href="/A054834/b054834.txt">Table of n, a(n) for n = 1..1000</a>, Oct 27 2018
%H A054834 Shyam Sunder Gupta, <a href="https://doi.org/10.1007/978-981-97-2465-9_2">Elegance of Squares, Cubes, and Higher Powers</a>, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 2, 29-81.
%F A054834 a(n) = A151799(A054835(n)), A151799 = prevprime; A054834 = { m = A054828(n) | m = prevprime(A054828(n+1)) }. - M. F. Hasler, Oct 27 2018
%t A054834 Select[Partition[Prime[Range[54000]],7,1],Min[Differences[#,2]]>0&][[All,1]] (* _Harvey P. Dale_, Mar 16 2020 *)
%Y A054834 Cf. A051635; A054800 .. A054803: members of balanced prime quartets (= consecutive primes in arithmetic progression); A054804 .. A054818: members of strong prime quartet, quintet, sextet; A054819 .. A054840: members of weak prime quartet, quintet, sextet, septets.
%K A054834 nonn
%O A054834 1,1
%A A054834 _Henry Bottomley_, Apr 10 2000
%E A054834 More terms from _M. F. Hasler_, Oct 27 2018