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Connection between Fibonacci numbers and the properties of the circle

score 673 · Answer 1 · 2026-03-25 20:27:40

673

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Connection between Fibonacci numbers and the properties of the circle

Published on 25 Mar 2026 - 20:27

score 2.3k · Answer 2 · 2016-09-06 07:16:54

2.3k

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A conjecture about Fibonacci numbers

Published on 06 Sep 2016 - 7:16

score 1.4k · Answer 3 · 2016-09-06 19:31:07

1.4k

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Proving the converse of an IMO problem: are there infinitely many pairs of positive integers (m,n) such that m divides n^2 + 1 and n divides m^2 + 1?

Published on 06 Sep 2016 - 19:31

score 350 · Answer 4 · 2026-03-26 17:31:34

350

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Tilings of n-board

Published on 26 Mar 2026 - 17:31

score 114 · Answer 5 · 2016-09-10 19:32:00

114

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An asymptotic expansion in the form of nested exponents

Published on 10 Sep 2016 - 19:32

score 96 · Answer 6 · 2016-09-11 03:10:15

96

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In number theory what do we call Lucas's theorem?

Published on 11 Sep 2016 - 3:10

score 928 · Answer 7 · 2016-09-12 12:50:00

928

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Is there a way to show that the addition of the first n terms of the Fibonacci sequence squared gives an answer divisible by a particular number?

Published on 12 Sep 2016 - 12:50

score 203 · Answer 8 · 2026-03-25 14:02:23

203

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A question about Fibonacci numbers

Published on 25 Mar 2026 - 14:02

score 228 · Answer 9 · 2016-09-15 14:12:27

228

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If $\gcd(a,b) \mid c$, then $\gcd(F_a, F_b) \mid F_c$, where $F_n$ is the nth fibonacci number

Published on 15 Sep 2016 - 14:12

score 86 · Answer 10 · 2016-09-15 16:58:21

86

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Show by induction that $n! > n \cdot F_n$ for all $n > 3$

Published on 15 Sep 2016 - 16:58

score 2.2k · Answer 11 · 2016-09-15 18:13:40

2.2k

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Show $F_{n+1} \cdot F_{n-1} = F_n^2 + (-1)^n$ for all $n \in \mathbb{N}$

Published on 15 Sep 2016 - 18:13

score 109 · Answer 12 · 2026-03-25 20:24:25

109

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Why does this number appear?

Published on 25 Mar 2026 - 20:24

score 37 · Answer 13 · 2016-09-20 02:02:03

37

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mathmatical induction of fibonacci sequence supporting questions

Published on 20 Sep 2016 - 2:02

score 2.7k · Answer 14 · 2026-03-25 12:55:29

2.7k

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Why does a golden angle based spiral produce evenly distributed points?

Published on 25 Mar 2026 - 12:55

score 181 · Answer 15 · 2016-09-20 17:14:42

181

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Slow growing integer sequence that is periodic modulo primes

Published on 20 Sep 2016 - 17:14

List Question

Connection between Fibonacci numbers and the properties of the circle

A conjecture about Fibonacci numbers

Proving the converse of an IMO problem: are there infinitely many pairs of positive integers (m,n) such that m divides n^2 + 1 and n divides m^2 + 1?

Tilings of n-board

An asymptotic expansion in the form of nested exponents

In number theory what do we call Lucas's theorem?

Is there a way to show that the addition of the first n terms of the Fibonacci sequence squared gives an answer divisible by a particular number?

A question about Fibonacci numbers

If $\gcd(a,b) \mid c$, then $\gcd(F_a, F_b) \mid F_c$, where $F_n$ is the nth fibonacci number

Show by induction that $n! > n \cdot F_n$ for all $n > 3$

Show $F_{n+1} \cdot F_{n-1} = F_n^2 + (-1)^n$ for all $n \in \mathbb{N}$

Why does this number appear?

mathmatical induction of fibonacci sequence supporting questions

Why does a golden angle based spiral produce evenly distributed points?

Slow growing integer sequence that is periodic modulo primes

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