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 A260402 #26 Jun 22 2025 06:30:26 %S A260402 2,3,4,5,7,8,9,10,11,13,14,16,17,19,21,22,23,25,26,27,29,31,32,34,37, %T A260402 38,39,41,43,44,46,47,49,50,51,53,57,58,59,61,62,64,67,68,69,71,73,74, %U A260402 79,81,82,83,86,87,89,92,93,94,97,98,101,103,106,107,109 %N A260402 Numbers which cannot be the largest denominator of an Egyptian fraction for 1. %C A260402 Complement of A092671. %C A260402 Contains at all primes and prime powers (A000961). %C A260402 Martin studies the asymptotic behavior of this sequence: the order of magnitude of its counting function (number of elements below x) is x log log x / log x. %H A260402 Amiram Eldar, <a href="/A260402/b260402.txt">Table of n, a(n) for n = 1..5000</a> %H A260402 Greg Martin, <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa95/aa9533.pdf">Denser Egyptian fractions</a>, Acta Arith. 95 (2000), no. 3, 231-260. %H A260402 Greg Martin, <a href="http://www.math.ubc.ca/~gerg/slides/Urbana-27March09.pdf">Dense Egyptian fractions</a>, Talk at the AMS Spring Central Sectional Meeting, University of Illinois at Urbana-Champaign, March 27, 2009. %e A260402 10 is in this sequence because any Egyptian fraction with 1/10 as its term with largest denominator either contains 1/5 as well or not; either way, the resulting sum will have a factor 5 in its denominator (any other term will contribute a multiple of 5 to the numerator of the sum), hence cannot equal 1. %K A260402 nonn %O A260402 1,1 %A A260402 _M. F. Hasler_, Jul 24 2015