Question

Non number theory prerequisites for Alan Baker's A comprehensive course in number theory

score 202 · Answer 1 · 2026-04-12 14:53:39

202

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Non number theory prerequisites for Alan Baker's A comprehensive course in number theory

Published on 12 Apr 2026 - 14:53

score 175 · Answer 2 · 2026-04-16 09:56:17

175

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Suppose $x$ is an integer such that $3x \equiv 15 \pmod{64}$. Find remainder when $q$ is divided by $64$.

Published on 16 Apr 2026 - 9:56

score 4.2k · Answer 3 · 2026-04-16 04:06:26

4.2k

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set of natural numbers subset of the set of real numbers

Published on 16 Apr 2026 - 4:06

score 235 · Answer 4 · 2026-04-14 10:30:21

235

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Numbers that add to generate any other number

Published on 14 Apr 2026 - 10:30

score 1k · Answer 5 · 2026-04-14 18:38:15

1k

Views

How to prove that the order of $x$ modulo $N$ satisfies $r \leq N$?

Published on 14 Apr 2026 - 18:38

score 102 · Answer 6 · 2026-04-03 19:35:23

102

Views

Prove that $\binom{2n}{n}\equiv (-1)^n \pmod{(2n+1)}$ if and only if $2n+1$ is a prime number.

Published on 03 Apr 2026 - 19:35

score 123 · Answer 7 · 2026-04-14 10:12:18

123

Views

Remainder when $4^{2018}$ is divided by $29$

Published on 14 Apr 2026 - 10:12

score 111 · Answer 8 · 2026-04-17 10:34:54

111

Views

For primes $p,q$ one has $2p^2=q^2 + 1$. $p=5$ and $q=7 $ are solutions. Any others?

Published on 17 Apr 2026 - 10:34

score 527 · Answer 9 · 2026-04-17 07:41:09

527

Views

Determine all possible integers $x$ and $y$ s.t. $3x + 7y \equiv 14 \pmod{28}$ and $x + 3y \equiv 8 \pmod{28}$.

Published on 17 Apr 2026 - 7:41

score 41 · Answer 10 · 2026-04-14 22:36:06

Find smallest positive integer $N$ such that $N \times r_{k}$ is a positive integer for a collection of positive rationals $\{r_{1},\ldots,r_{K}\}$

score 92 · Answer 11 · 2026-04-16 07:44:24

92

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Is ${n^2}/D(n^2) \in \mathbb{N}$, if $q^k n^2$ is an odd perfect number?

Published on 16 Apr 2026 - 7:44

score 117 · Answer 12 · 2026-04-20 10:01:21

117

Views

Find inverse of $a \mod p$

Published on 20 Apr 2026 - 10:01

score 296 · Answer 13 · 2026-04-04 11:26:30

296

Views

number of different ways to represent a positive integer as a binomial coefficient

Published on 04 Apr 2026 - 11:26

score 759 · Answer 14 · 2026-04-16 00:30:37

759

Views

Are there any natural numbers $n$ that satisfy the condition $7921\sigma(n) = 15840n$?

Published on 16 Apr 2026 - 0:30

score 59 · Answer 15 · 2026-04-17 17:01:13

59

Views

Solving OR bounding sums of solutions to certain linear diophantine equations

Published on 17 Apr 2026 - 17:01

List Question

Non number theory prerequisites for Alan Baker's A comprehensive course in number theory

Suppose $x$ is an integer such that $3x \equiv 15 \pmod{64}$. Find remainder when $q$ is divided by $64$.

set of natural numbers subset of the set of real numbers

Numbers that add to generate any other number

How to prove that the order of $x$ modulo $N$ satisfies $r \leq N$?

Prove that $\binom{2n}{n}\equiv (-1)^n \pmod{(2n+1)}$ if and only if $2n+1$ is a prime number.

Remainder when $4^{2018}$ is divided by $29$

For primes $p,q$ one has $2p^2=q^2 + 1$. $p=5$ and $q=7 $ are solutions. Any others?

Determine all possible integers $x$ and $y$ s.t. $3x + 7y \equiv 14 \pmod{28}$ and $x + 3y \equiv 8 \pmod{28}$.

Find smallest positive integer $N$ such that $N \times r_{k}$ is a positive integer for a collection of positive rationals $\{r_{1},\ldots,r_{K}\}$

Is ${n^2}/D(n^2) \in \mathbb{N}$, if $q^k n^2$ is an odd perfect number?

Find inverse of $a \mod p$

number of different ways to represent a positive integer as a binomial coefficient

Are there any natural numbers $n$ that satisfy the condition $7921\sigma(n) = 15840n$?

Solving OR bounding sums of solutions to certain linear diophantine equations

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