A395997 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.

25, 55, 85, 115, 121, 145, 175, 187, 205, 235, 253, 265, 289, 295, 319, 325, 355, 385, 391, 415, 445, 451, 475, 493, 505, 517, 529, 535, 565, 583, 595, 625, 649, 655, 667, 685, 697, 715, 745, 775, 781, 799, 805, 835, 841, 847, 865, 895, 901, 913, 925, 943, 955

Offset

1,1

Comments

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

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

Links

Pontus von Brömssen, Table of n, a(n) for n = 1..10000

Index entries for sequences related to Egyptian fractions.

Example

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.

Crossrefs

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

Sequence in context: A206075 A391254 A276448 * A176275 A108166 A080863

Adjacent sequences: A395994 A395995 A395996 * A395998 A395999 A396000

Keyword

nonn

Author

Pontus von Brömssen, May 14 2026

Status

approved