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 A054806 #12 Aug 28 2021 12:21:25 %S A054806 41,71,101,227,281,311,461,487,617,641,727,757,857,881,937,1091,1301, %T A054806 1427,1451,1481,1549,1663,1667,1697,1741,1783,1787,1861,1867,1871, %U A054806 1993,1997,2063,2141,2339,2377,2381,2467,2473,2521,2531,2539,2591,2617,2657 %N A054806 Third term of strong prime quartets: prime(m+1)-prime(m) > prime(m+2)-prime(m+1) > prime(m+3)-prime(m+2). %H A054806 M. F. Hasler, <a href="/A054806/b054806.txt">Table of n, a(n) for n = 1..10000</a>, Oct 27 2018 %F A054806 a(n) = nextprime(A054805(n)) = prevprime(A054807(n)), nextprime = A151800, prevprime = A151799. - _M. F. Hasler_, Oct 27 2018 %t A054806 Select[Partition[Prime[Range[400]],4,1],Max[Differences[#,2]]<0&][[All,3]] (* _Harvey P. Dale_, Aug 28 2021 *) %Y A054806 Cf. A051634, A051635; A054800 .. A054803: members of balanced prime quartets (= 4 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 A054806 nonn %O A054806 1,1 %A A054806 _Henry Bottomley_, Apr 10 2000 %E A054806 Offset corrected to 1 by _M. F. Hasler_, Oct 27 2018 %E A054806 Definition clarified by _N. J. A. Sloane_, Aug 28 2021