Question

Let $a$ and $b$ be integers. If $17\mid 26a + 39b$, prove that $17\mid 9a + 5b$

score 253 · Answer 1 · 2026-04-16 01:36:09

253

Views

Let $a$ and $b$ be integers. If $17\mid 26a + 39b$, prove that $17\mid 9a + 5b$

Published on 16 Apr 2026 - 1:36

score 417 · Answer 2 · 2026-04-16 17:30:56

417

Views

Squares in the sequence $ a3^n+b$

Published on 16 Apr 2026 - 17:30

score 330 · Answer 3 · 2026-04-15 18:52:44

proof, that if prime natural number $(p) \, \text{ mod } \, 3 = 1$, then it can be presented as $a^2-ab+b^2$, where $a$ and $b$ are whole numbers

score 273 · Answer 4 · 2026-04-29 12:07:58

273

Views

For any positive integer $k$, are there always primes $p$ and $q$ such that $q-p=2^k$?

Published on 29 Apr 2026 - 12:07

score 68 · Answer 5 · 2026-04-16 07:21:14

68

Views

Prime numbers and divisibility related problem

Published on 16 Apr 2026 - 7:21

score 352 · Answer 6 · 2026-04-29 12:26:16

352

Views

For what values of n is $f(x) = x^3 mod(n)$ a bijection from $X={(0,1,2,...,n-1)}$ to itself.

Published on 29 Apr 2026 - 12:26

score 133 · Answer 7 · 2026-04-22 21:50:20

133

Views

Fixed ring $\mathbb{Z}[\zeta]^\tau$ is the ring of integers of the fixed field $\mathbb{Q}(\zeta)^\tau$

Published on 22 Apr 2026 - 21:50

score 174 · Answer 8 · 2026-04-16 00:01:02

174

Views

Does all the roots of the polynomial in this form can be some pairwise distinct integers?

Published on 16 Apr 2026 - 0:01

score 29 · Answer 9 · 2026-04-10 12:59:13

29

Views

Calculate when jobs scheduled with different frequencies will align

Published on 10 Apr 2026 - 12:59

score 149 · Answer 10 · 2026-04-23 11:39:09

149

Views

Minors of a particular matrix?

Published on 23 Apr 2026 - 11:39

score 366 · Answer 11 · 2026-04-12 18:21:05

366

Views

Mobius function of product of primes

Published on 12 Apr 2026 - 18:21

score 130 · Answer 12 · 2026-04-11 15:59:40

130

Views

How do I prove that $x^2+8y^2$ does not properly represent 3?

Published on 11 Apr 2026 - 15:59

score 566 · Answer 13 · 2026-04-11 12:50:31

566

Views

Fermat primality test

Published on 11 Apr 2026 - 12:50

score 319 · Answer 14 · 2026-04-14 19:50:28

319

Views

Dirichlet density of set of primes

Published on 14 Apr 2026 - 19:50

score 55 · Answer 15 · 2026-04-16 01:52:36

55

Views

$N/F$ is finite galois. $E/F,L/F$ galois and $E,F\subset N$. Then $E\otimes_F L$ is a product of fields

Published on 16 Apr 2026 - 1:52

List Question

Let $a$ and $b$ be integers. If $17\mid 26a + 39b$, prove that $17\mid 9a + 5b$

Squares in the sequence $ a3^n+b$

proof, that if prime natural number $(p) \, \text{ mod } \, 3 = 1$, then it can be presented as $a^2-ab+b^2$, where $a$ and $b$ are whole numbers

For any positive integer $k$, are there always primes $p$ and $q$ such that $q-p=2^k$?

Prime numbers and divisibility related problem

For what values of n is $f(x) = x^3 mod(n)$ a bijection from $X={(0,1,2,...,n-1)}$ to itself.

Fixed ring $\mathbb{Z}[\zeta]^\tau$ is the ring of integers of the fixed field $\mathbb{Q}(\zeta)^\tau$

Does all the roots of the polynomial in this form can be some pairwise distinct integers?

Calculate when jobs scheduled with different frequencies will align

Minors of a particular matrix?

Mobius function of product of primes

How do I prove that $x^2+8y^2$ does not properly represent 3?

Fermat primality test

Dirichlet density of set of primes

$N/F$ is finite galois. $E/F,L/F$ galois and $E,F\subset N$. Then $E\otimes_F L$ is a product of fields

Trending Questions

Popular # Hahtags

Popular Questions