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 A386275 #6 Aug 03 2025 10:20:38 %S A386275 13,22,3,137,7,5454,31076,8744076,697642916,23169509240,29165083170, %T A386275 10658896243375 %N A386275 First term of the first occurrence of a run of exactly n consecutive terms in A072225. %C A386275 Exactly n means the run is maximal in the sense that it has no further consecutive term before or after. %C A386275 Prime Puzzles 798 (see links) considers where runs of consecutive terms occur in A072225 (and similar) and terms here through to n=11 are per row n=3, and extra i with g(3,i)=11, of the minimal i table by Vladimir Chirkov. %C A386275 a(13) and beyond are > 10658896243375 = a(12). %H A386275 Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_798.htm">Puzzle 798. A nice puzzle by Kamenetski</a>, The Prime Puzzles & Problems Connection. %H A386275 Kevin Ryde, <a href="/A386275/a386275.c.txt">C Code</a> %e A386275 For n=4, the first run of 4 consecutive terms in A072225 begins at its term 137 so that a(4) = 137, %e A386275 A072225 = ..., 134, 137, 138, 139, 140, 144 %e A386275 \----------------/ %e A386275 n=4 consecutive maximal run %e A386275 The n+2 = 6 primes at prime(137) onwards are 773, 787, 797, 809, 811, 821 and the sum of any consecutive 3 of them is a prime. %o A386275 (C) /* See links. */ %Y A386275 Cf. A072225. %K A386275 nonn,more %O A386275 1,1 %A A386275 _Kevin Ryde_, Jul 25 2025