A395997 - OEIS

%I #13 May 20 2026 09:03:20

%S 25,55,85,115,121,145,175,187,205,235,253,265,289,295,319,325,355,385,

%T 391,415,445,451,475,493,505,517,529,535,565,583,595,625,649,655,667,

%U 685,697,715,745,775,781,799,805,835,841,847,865,895,901,913,925,943,955

%N Numbers k > 3 such that the greedy Egyptian fraction representation of 3/k has more terms than the shortest representation of 3/k as a sum of unit fractions.

%C Numbers k such that A097847(k,3) < A050205(k,3).

%C The first term that is not in A176275 is a(46) = 847.

%H Pontus von Brömssen, <a href="/A395997/b395997.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="/index/Ed#Egypt">Index entries for sequences related to Egyptian fractions</a>.

%e 25 is a term since the representation 3/25 = 1/10 + 1/50 has fewer terms than the greedy Egyptian fraction representation 3/25 = 1/9 + 1/113 + 1/25425.

%Y Cf. A050205, A097847, A176275, A395995, A395998, A395999, A396160.

%K nonn

%O 1,1

%A _Pontus von Brömssen_, May 14 2026