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 A060771 #2 Jun 23 2014 16:31:11 %S A060771 3,5,7,11,29,97,127,541,907,1151,1361,15727,19661,31469,156007,360749, %T A060771 370373,1357333,2010881,17051887,20831533,47326913,191913031, %U A060771 436273291,2300942869,3842611109,4302407713,10726905041,22367085353,25056082543 %N A060771 Upper ends of record prime gaps under consideration of the prime number theorem. %C A060771 Every element > 7 must be in A000101 too (consider the derivatives of x/log(x) to prove this), but not conversely. The sequence is infinite since lim sup (length of n-th prime gap/log(n-th prime)) is infinite, proved by Westzynthius, see Ribenboim. %D A060771 P. Ribenboim, The Book of Prime Number Records, Chapter about prime gaps. %D A060771 E. Westzynthius, Über die Verteilung der Zahlen, die zu den n ersten Primzahlen teilerfremd sind Comm. Phys. Math. Helsingfors 25, 1931. %F A060771 A prime p belongs to the sequence iff p/log(p) - q/log(q) attains a new high, where q is the preceding prime. %e A060771 541 is okay since 541/log(541) - 523/log(523) = 2.4108.. was not reached by smaller primes %Y A060771 Cf. A060769, A000101. %K A060771 nonn %O A060771 1,1 %A A060771 Ulrich Schimke (ulrschimke(AT)aol.com)