Question

Number of solutions to $f(x)\equiv 0 \mod(11\cdot 19^{2})$

score 58 · Answer 1 · 2026-03-30 17:35:37

58

Views

Number of solutions to $f(x)\equiv 0 \mod(11\cdot 19^{2})$

Published on 30 Mar 2026 - 17:35

score 178 · Answer 2 · 2016-05-05 07:29:46

178

Views

For a given non-constant polynomial $f(x)$ with integer coefficients, how many solutions are there to $f(x)\equiv 0 \mod(n)$ where $n$ is composite?

Published on 05 May 2016 - 7:29

score 138 · Answer 3 · 2016-05-06 05:45:41

138

Views

How to calculate $x$ in $19^{93}\equiv x\pmod {162}$?

Published on 06 May 2016 - 5:45

score 167 · Answer 4 · 2016-05-07 15:35:09

167

Views

If for $p \in \Bbb P$ and $x,y,z \in \Bbb N$ we have $x^{p-1}+y^{p-1}=z^{p-1}$, then $p\mid xyz$

Published on 07 May 2016 - 15:35

score 63 · Answer 5 · 2016-05-09 19:56:50

63

Views

Find all $n \in \Bbb Z$ such that $n^2 + n + 1$ divide $n^3-22$

Published on 09 May 2016 - 19:56

score 176 · Answer 6 · 2016-05-09 23:45:27

176

Views

Proving divisibility for $256 \mid 7^{2n} + 208n - 1$

Published on 09 May 2016 - 23:45

score 594 · Answer 7 · 2016-05-10 01:41:08

594

Views

Finding quotient and remainder for a division

Published on 10 May 2016 - 1:41

score 75 · Answer 8 · 2016-05-11 09:22:18

75

Views

Find an integer function $f(n)$ that is even for $n\not \equiv 2\bmod 3$, and odd for $n\equiv 2\bmod 3$

Published on 11 May 2016 - 9:22

score 1k · Answer 9 · 2016-05-11 10:55:13

1k

Views

Show that $a^{13} \equiv a \pmod{3 \cdot 7 \cdot 13}$.

Published on 11 May 2016 - 10:55

score 3.9k · Answer 10 · 2026-03-28 21:26:43

3.9k

Views

$x^{2} \equiv-1\ \pmod p$ has a solution if and only if $p\equiv 1\ \pmod 4$

Published on 28 Mar 2026 - 21:26

score 148 · Answer 11 · 2026-03-29 16:29:08

148

Views

Congruence $16^{(x^ 2+x+1)} \equiv 4 \mod 11$

Published on 29 Mar 2026 - 16:29

score 272 · Answer 12 · 2026-03-31 19:14:20

272

Views

$1000$th decimal digit of $(8+\sqrt{63})^{2012}$

Published on 31 Mar 2026 - 19:14

score 106 · Answer 13 · 2016-05-15 17:05:56

106

Views

Modulo Equations

Published on 15 May 2016 - 17:05

score 1.4k · Answer 14 · 2016-05-16 11:41:34

1.4k

Views

Determine all integral solutions of $a^2+b^2+c^2=a^2b^2$

Published on 16 May 2016 - 11:41

score 118 · Answer 15 · 2016-05-16 16:38:26

118

Views

Find the remainder of $\sum_{i=0}^{99} 2^{i^2}$ when dividing by 7 and determine if the quotient is even or odd

Published on 16 May 2016 - 16:38

List Question

Number of solutions to $f(x)\equiv 0 \mod(11\cdot 19^{2})$

For a given non-constant polynomial $f(x)$ with integer coefficients, how many solutions are there to $f(x)\equiv 0 \mod(n)$ where $n$ is composite?

How to calculate $x$ in $19^{93}\equiv x\pmod {162}$?

If for $p \in \Bbb P$ and $x,y,z \in \Bbb N$ we have $x^{p-1}+y^{p-1}=z^{p-1}$, then $p\mid xyz$

Find all $n \in \Bbb Z$ such that $n^2 + n + 1$ divide $n^3-22$

Proving divisibility for $256 \mid 7^{2n} + 208n - 1$

Finding quotient and remainder for a division

Find an integer function $f(n)$ that is even for $n\not \equiv 2\bmod 3$, and odd for $n\equiv 2\bmod 3$

Show that $a^{13} \equiv a \pmod{3 \cdot 7 \cdot 13}$.

$x^{2} \equiv-1\ \pmod p$ has a solution if and only if $p\equiv 1\ \pmod 4$

Congruence $16^{(x^ 2+x+1)} \equiv 4 \mod 11$

$1000$th decimal digit of $(8+\sqrt{63})^{2012}$

Modulo Equations

Determine all integral solutions of $a^2+b^2+c^2=a^2b^2$

Find the remainder of $\sum_{i=0}^{99} 2^{i^2}$ when dividing by 7 and determine if the quotient is even or odd

Trending Questions

Popular # Hahtags

Popular Questions