Question

Show that there exists $(k, n) \in \mathbb{N}^2$ such that $P \cap [\![ n, +\infty [\![ = k \mathbb{N} \cap [\![ n, +\infty [\![$

score 33 · Answer 1 · 2020-11-23 08:33:12

33

Views

Show that there exists $(k, n) \in \mathbb{N}^2$ such that $P \cap [\![ n, +\infty [\![ = k \mathbb{N} \cap [\![ n, +\infty [\![$

Published on 23 Nov 2020 - 8:33

score 97 · Answer 2 · 2020-11-25 15:45:37

97

Views

Proving degree bounds for $u, v$ in $c = ua + vb$ (Bezout's identity generalisation)

Published on 25 Nov 2020 - 15:45

score 322 · Answer 3 · 2020-11-26 19:11:12

322

Views

If $\gcd (a,n) = 1$, how can we prove that $\gcd(a + kn, n) = 1$?

Published on 26 Nov 2020 - 19:11

score 95 · Answer 4 · 2020-11-27 17:10:49

95

Views

Are there any other ways to find GCD faster?

Published on 27 Nov 2020 - 17:10

score 34 · Answer 5 · 2020-11-28 07:02:43

34

Views

Finding the gcd for 2 polynomials in $\mathbb Z_5[y]$

Published on 28 Nov 2020 - 7:02

score 132 · Answer 6 · 2020-11-29 03:27:32

132

Views

$a_n = u^n+v^n+(-1)^n$

Published on 29 Nov 2020 - 3:27

score 141 · Answer 7 · 2020-12-03 07:24:22

141

Views

number theoretical questions for division of numbers $1$ to $100$

Published on 03 Dec 2020 - 7:24

score 35 · Answer 8 · 2026-03-30 10:39:26

35

Views

Explanation for some parts of this proof.

Published on 30 Mar 2026 - 10:39

score 75 · Answer 9 · 2026-03-31 03:32:09

75

Views

Question about a set of distinct odd integers and their least common multiple

Published on 31 Mar 2026 - 3:32

score 87 · Answer 10 · 2020-12-06 08:51:31

87

Views

What is the minimum number of packs of each ingredient needed without left over?

Published on 06 Dec 2020 - 8:51

score 640 · Answer 11 · 2020-12-06 17:38:38

640

Views

If $m$ is a positive integer, show that $3m+2$ and $5m+3$ are relatively prime

Published on 06 Dec 2020 - 17:38

score 145 · Answer 12 · 2026-03-26 14:35:07

145

Views

Highest Twin primes such that the number in between twins is the $\text{lcm}$ of first $N$ numbers

Published on 26 Mar 2026 - 14:35

score 78 · Answer 13 · 2026-03-29 09:10:09

78

Views

GCD questions. How do I determine whether its true or false? (answer is true for both)

Published on 29 Mar 2026 - 9:10

score 262 · Answer 14 · 2020-12-08 02:23:40

262

Views

Let $a_1/b_1,\ldots,a_n/b_n$ be rational numbers in lowest terms. If $M={\rm lcm}(b_1,\ldots,b_n)$, prove $\gcd(Ma_1/b_1,\ldots,Ma_n/b_n)=1$.

Published on 08 Dec 2020 - 2:23

score 40 · Answer 15 · 2020-12-08 15:24:54

40

Views

Range of Validity of a Number Theory Corollary

Published on 08 Dec 2020 - 15:24

List Question

Show that there exists $(k, n) \in \mathbb{N}^2$ such that $P \cap [\![ n, +\infty [\![ = k \mathbb{N} \cap [\![ n, +\infty [\![$

Proving degree bounds for $u, v$ in $c = ua + vb$ (Bezout's identity generalisation)

If $\gcd (a,n) = 1$, how can we prove that $\gcd(a + kn, n) = 1$?

Are there any other ways to find GCD faster?

Finding the gcd for 2 polynomials in $\mathbb Z_5[y]$

$a_n = u^n+v^n+(-1)^n$

number theoretical questions for division of numbers $1$ to $100$

Explanation for some parts of this proof.

Question about a set of distinct odd integers and their least common multiple

What is the minimum number of packs of each ingredient needed without left over?

If $m$ is a positive integer, show that $3m+2$ and $5m+3$ are relatively prime

Highest Twin primes such that the number in between twins is the $\text{lcm}$ of first $N$ numbers

GCD questions. How do I determine whether its true or false? (answer is true for both)

Let $a_1/b_1,\ldots,a_n/b_n$ be rational numbers in lowest terms. If $M={\rm lcm}(b_1,\ldots,b_n)$, prove $\gcd(Ma_1/b_1,\ldots,Ma_n/b_n)=1$.

Range of Validity of a Number Theory Corollary

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