Question

Divisibility Induction

score 32 · Answer 1 · 2026-04-11 18:46:18

32

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Divisibility Induction

Published on 11 Apr 2026 - 18:46

score 456 · Answer 2 · 2026-04-09 03:38:59

456

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Questions on Prime Counting Functions, Explicit Formulas, and Related Zeta Functions

Published on 09 Apr 2026 - 3:38

score 13.6k · Answer 3 · 2026-03-25 20:20:20

13.6k

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Prove: if p is prime and p ∣ ab, then p ∣ a or p ∣ b.

Published on 25 Mar 2026 - 20:20

score 355 · Answer 4 · 2026-03-25 04:53:20

355

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2 variable induction proof divisibility

Published on 25 Mar 2026 - 4:53

score 249 · Answer 5 · 2026-04-09 00:14:59

249

Views

Prove that $\exists c$ that the equation $ax+by=c$ has exactly n different positive solutions

Published on 09 Apr 2026 - 0:14

score 2.8k · Answer 6 · 2026-04-11 09:27:06

2.8k

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Is a proof using modular arithmetic in a question like this valid?

Published on 11 Apr 2026 - 9:27

score 98 · Answer 7 · 2026-03-25 05:01:32

98

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Find if x is divisible by a number in the sequence from 2 to p

Published on 25 Mar 2026 - 5:01

score 62 · Answer 8 · 2018-02-27 08:22:17

62

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Prove that $\frac{2^{2^n}+1}{2^{2^m}+1}$ is irreducible, if $n>m\geq 0$ are integers.

Published on 27 Feb 2018 - 8:22

score 3k · Answer 9 · 2026-04-12 04:38:53

3k

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What does nondegenerate means for quadratic forms?

Published on 12 Apr 2026 - 4:38

score 139 · Answer 10 · 2026-04-01 08:31:11

139

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Can two different natural numbers raised to the same irrational power be integers?

Published on 01 Apr 2026 - 8:31

score 73 · Answer 11 · 2026-03-27 16:27:49

73

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Is $F(c\vec{v})$ = $cF(\vec{v})$ condition of linear transformation the same thing as $F(\vec{a})+F(\vec{b})=F(\vec{a}+\vec{b})$?

Published on 27 Mar 2026 - 16:27

score 184 · Answer 12 · 2026-03-25 21:54:04

184

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Find the upper bound and lower bound of the number of prime numbers less than x

Published on 25 Mar 2026 - 21:54

score 146 · Answer 13 · 2026-04-12 04:21:17

146

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Determine a polynomial is irreducible

Published on 12 Apr 2026 - 4:21

score 142 · Answer 14 · 2026-04-09 03:11:56

142

Views

Bernoulli numbers [A classical introduction to modern number theory]

Published on 09 Apr 2026 - 3:11

score 104 · Answer 15 · 2026-04-08 22:08:17

104

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How to show $a^{\frac{1}{b}}-c^{\frac{1}{d}}$ is rational if and only if $a^{\frac{1}{b}}$ and $c^{\frac{1}{d}}$ are rational and not equal.

Published on 08 Apr 2026 - 22:08

List Question

Divisibility Induction

Questions on Prime Counting Functions, Explicit Formulas, and Related Zeta Functions

Prove: if p is prime and p ∣ ab, then p ∣ a or p ∣ b.

2 variable induction proof divisibility

Prove that $\exists c$ that the equation $ax+by=c$ has exactly n different positive solutions

Is a proof using modular arithmetic in a question like this valid?

Find if x is divisible by a number in the sequence from 2 to p

Prove that $\frac{2^{2^n}+1}{2^{2^m}+1}$ is irreducible, if $n>m\geq 0$ are integers.

What does nondegenerate means for quadratic forms?

Can two different natural numbers raised to the same irrational power be integers?

Is $F(c\vec{v})$ = $cF(\vec{v})$ condition of linear transformation the same thing as $F(\vec{a})+F(\vec{b})=F(\vec{a}+\vec{b})$?

Find the upper bound and lower bound of the number of prime numbers less than x

Determine a polynomial is irreducible

Bernoulli numbers [A classical introduction to modern number theory]

How to show $a^{\frac{1}{b}}-c^{\frac{1}{d}}$ is rational if and only if $a^{\frac{1}{b}}$ and $c^{\frac{1}{d}}$ are rational and not equal.

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