Question

Egyptian fraction for $\varphi- {F(2n+2) \over F(2n+1)}$

score 146 · Answer 1 · 2017-06-04 05:36:22

146

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Egyptian fraction for $\varphi- {F(2n+2) \over F(2n+1)}$

Published on 04 Jun 2017 - 5:36

score 94 · Answer 2 · 2017-09-07 00:50:08

94

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Explicit Bounds on the Lengths of Egyptian Fractions

Published on 07 Sep 2017 - 0:50

score 102 · Answer 3 · 2017-09-07 17:51:08

102

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Sums of Egyptian Fractions of Minimal Length

Published on 07 Sep 2017 - 17:51

score 295 · Answer 4 · 2017-10-03 23:39:15

295

Views

Disjoint Egyptian Fraction representations of $1$

Published on 03 Oct 2017 - 23:39

score 93 · Answer 5 · 2017-11-09 20:43:55

93

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On the "hydra set" $S=\left\{\sum_{n\geq 1}\frac{1}{x_n}:(x_n)_{n\geq 1}\text{ is an increasing sequence of positive natural numbers}\right\}$

Published on 09 Nov 2017 - 20:43

score 71 · Answer 6 · 2017-11-15 23:00:16

71

Views

$\frac{A}{B}$ as the sum of distinct inverse naturals.

Published on 15 Nov 2017 - 23:00

score 65 · Answer 7 · 2017-11-24 23:46:07

65

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Need assistance in finding sets of solutions for this equation

Published on 24 Nov 2017 - 23:46

score 1k · Answer 8 · 2011-01-12 05:29:33

1k

Views

Find proof Egyptian Fractions and modified Euclidean Algorithm

Published on 12 Jan 2011 - 5:29

score 2.2k · Answer 9 · 2011-02-14 06:55:12

2.2k

Views

Can the sums of two sequences of reciprocals of consecutive integers be equal?

Published on 14 Feb 2011 - 6:55

score 46.5k · Answer 10 · 2013-01-30 09:31:18

46.5k

Views

Find five positive integers whose reciprocals sum to $1$

Published on 30 Jan 2013 - 9:31

score 90 · Answer 11 · 2020-08-08 02:45:36

90

Views

$\frac{1}{d_1} + \dots + \frac{1}{d_k} = 1,$ and $\gcd(d_i,d_j)>1 \, \forall i,j$ implies $\gcd(d_1, \dots, d_k) > 1$ for distinct $d_i.$

Published on 08 Aug 2020 - 2:45

score 99 · Answer 12 · 2020-10-16 16:16:15

99

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Find minimum $n$ that satisfies $\frac{1}{a_1}+\frac{1}{a_2}+\cdots+\frac{1}{a_n}=\frac{12}{13}$

Published on 16 Oct 2020 - 16:16

score 45 · Answer 13 · 2020-11-08 11:09:22

Set of distinct odd positive integers such that $\left(\frac{1}{O_{1}}+\frac{1}{O_{2}}+\frac{1}{O_{3}}+...+\frac{m+1}{O_{n}}\right)=1$

score 324 · Answer 14 · 2020-11-11 11:44:43

324

Views

Proving a necessary condition for an egyptian fraction with odd denominators

Published on 11 Nov 2020 - 11:44

score 419 · Answer 15 · 2021-01-01 13:18:43

419

Views

Odd perfect numbers and egyptian fraction conjecture

Published on 01 Jan 2021 - 13:18

List Question

Egyptian fraction for $\varphi- {F(2n+2) \over F(2n+1)}$

Explicit Bounds on the Lengths of Egyptian Fractions

Sums of Egyptian Fractions of Minimal Length

Disjoint Egyptian Fraction representations of $1$

On the "hydra set" $S=\left\{\sum_{n\geq 1}\frac{1}{x_n}:(x_n)_{n\geq 1}\text{ is an increasing sequence of positive natural numbers}\right\}$

$\frac{A}{B}$ as the sum of distinct inverse naturals.

Need assistance in finding sets of solutions for this equation

Find proof Egyptian Fractions and modified Euclidean Algorithm

Can the sums of two sequences of reciprocals of consecutive integers be equal?

Find five positive integers whose reciprocals sum to $1$

$\frac{1}{d_1} + \dots + \frac{1}{d_k} = 1,$ and $\gcd(d_i,d_j)>1 \, \forall i,j$ implies $\gcd(d_1, \dots, d_k) > 1$ for distinct $d_i.$

Find minimum $n$ that satisfies $\frac{1}{a_1}+\frac{1}{a_2}+\cdots+\frac{1}{a_n}=\frac{12}{13}$

Set of distinct odd positive integers such that $\left(\frac{1}{O_{1}}+\frac{1}{O_{2}}+\frac{1}{O_{3}}+...+\frac{m+1}{O_{n}}\right)=1$

Proving a necessary condition for an egyptian fraction with odd denominators

Odd perfect numbers and egyptian fraction conjecture

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