Question

On a proof that "there are at least $F_n$ Collatz permutations of length $n$".

score 226 · Answer 1 · 2026-03-25 18:50:15

226

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On a proof that "there are at least $F_n$ Collatz permutations of length $n$".

Published on 25 Mar 2026 - 18:50

score 128 · Answer 2 · 2014-12-24 01:40:07

128

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Question regarding gcd in polynomial ring over a field

Published on 24 Dec 2014 - 1:40

score 108 · Answer 3 · 2014-12-24 21:26:07

108

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How does the size of the set $A(R) = \{(a,b) \; | \; a,b \in N \times N, \; \gcd(a,b) = 1, \; a^2 + b^2 \leq R^2\}$ grow?

Published on 24 Dec 2014 - 21:26

score 545 · Answer 4 · 2014-12-26 15:25:21

545

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Divisibility test by 7

Published on 26 Dec 2014 - 15:25

score 111 · Answer 5 · 2026-03-28 03:27:36

111

Views

Find the greatest common divisor of $2003^4 + 1$ and $2003^3 + 1$

Published on 28 Mar 2026 - 3:27

score 125 · Answer 6 · 2014-12-27 10:13:43

125

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Hints for solving this Number Theory problem on divisibility

Published on 27 Dec 2014 - 10:13

score 41 · Answer 7 · 2014-12-29 13:12:45

41

Views

If no elements of a sequence $a_n$ are divisible by $\pi$, does $\forall n, a_n \mod \pi \in (0;\pi)$ hold?

Published on 29 Dec 2014 - 13:12

score 39 · Answer 8 · 2014-12-29 18:03:46

39

Views

Are there positive integers $x, y$ and $z$ such that $2^{x} · 3^{4} · 14^{y} = 126^{z}$

Published on 29 Dec 2014 - 18:03

score 100 · Answer 9 · 2014-12-30 14:07:47

100

Views

Prime number between 7902 and 7918

Published on 30 Dec 2014 - 14:07

score 1.2k · Answer 10 · 2026-03-28 08:10:43

1.2k

Views

Prove Divisibility In Fibonacci Sequence Over A Prime Number

Published on 28 Mar 2026 - 8:10

score 2.9k · Answer 11 · 2026-03-27 21:35:36

2.9k

Views

What is $\underbrace{555\cdots555}_{1000\ \text{times}} \ \text{mod} \ 7$ without a calculator

Published on 27 Mar 2026 - 21:35

score 155 · Answer 12 · 2026-03-26 19:01:03

155

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Proving $310 \mid n^{121}-n$ for all integers $n$

Published on 26 Mar 2026 - 19:01

score 819 · Answer 13 · 2015-01-02 14:43:58

819

Views

Finding $GCD$ excluding some elements from an $array$

Published on 02 Jan 2015 - 14:43

score 74 · Answer 14 · 2015-01-02 20:54:05

74

Views

Confusion (Divisible, Multiples)

Published on 02 Jan 2015 - 20:54

score 1k · Answer 15 · 2019-10-03 06:04:16

1k

Views

Prove that $(a + b + c)^{13}$ is divisible by $abc$ if $b|a^3$, $c|b^3$ and $a|c^3$.

Published on 03 Oct 2019 - 6:04

List Question

On a proof that "there are at least $F_n$ Collatz permutations of length $n$".

Question regarding gcd in polynomial ring over a field

How does the size of the set $A(R) = \{(a,b) \; | \; a,b \in N \times N, \; \gcd(a,b) = 1, \; a^2 + b^2 \leq R^2\}$ grow?

Divisibility test by 7

Find the greatest common divisor of $2003^4 + 1$ and $2003^3 + 1$

Hints for solving this Number Theory problem on divisibility

If no elements of a sequence $a_n$ are divisible by $\pi$, does $\forall n, a_n \mod \pi \in (0;\pi)$ hold?

Are there positive integers $x, y$ and $z$ such that $2^{x} · 3^{4} · 14^{y} = 126^{z}$

Prime number between 7902 and 7918

Prove Divisibility In Fibonacci Sequence Over A Prime Number

What is $\underbrace{555\cdots555}_{1000\ \text{times}} \ \text{mod} \ 7$ without a calculator

Proving $310 \mid n^{121}-n$ for all integers $n$

Finding $GCD$ excluding some elements from an $array$

Confusion (Divisible, Multiples)

Prove that $(a + b + c)^{13}$ is divisible by $abc$ if $b|a^3$, $c|b^3$ and $a|c^3$.

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