Question

How to find the number of solutions to $ 2x^{4}+x^{3}-4x+11\equiv 0 \pmod{1000000}$?

score 171 · Answer 1 · 2026-04-15 18:37:30

171

Views

How to find the number of solutions to $ 2x^{4}+x^{3}-4x+11\equiv 0 \pmod{1000000}$?

Published on 15 Apr 2026 - 18:37

score 62 · Answer 2 · 2026-04-13 05:09:24

62

Views

Prove $n < 2^n$ using principle of well order

Published on 13 Apr 2026 - 5:09

score 605 · Answer 3 · 2026-04-14 11:51:56

605

Views

All prime factors of $a^2+b^2$ can be written as the sum of squares or have even multiplicity.

Published on 14 Apr 2026 - 11:51

score 53 · Answer 4 · 2026-04-14 01:34:26

53

Views

What do you call a function that takes basis open sets to basis open sets in preimage?

Published on 14 Apr 2026 - 1:34

score 82 · Answer 5 · 2026-04-17 08:46:16

82

Views

$30\mid p_1^4+p_2^4+\cdots+p_{31}^4$. Prove that $p_1=2,p_2=3,p_3=5$

Published on 17 Apr 2026 - 8:46

score 61 · Answer 6 · 2026-04-17 09:29:05

61

Views

$(1+1/a) (1+1/b) (1+1/c) = 4 $ Are there any other positive integer than 1,2,3 which satisfy the equation?

Published on 17 Apr 2026 - 9:29

score 88 · Answer 7 · 2026-04-15 15:24:10

88

Views

How many different integer solutions exist for $p(x)=23$

Published on 15 Apr 2026 - 15:24

score 74 · Answer 8 · 2026-04-14 19:39:52

74

Views

Is there always a prime number in these sets?

Published on 14 Apr 2026 - 19:39

score 219 · Answer 9 · 2026-04-15 20:25:22

219

Views

Find two least composite numbers $n$ such that $n\mid2^n-2$ and $n\mid3^n-3$.

Published on 15 Apr 2026 - 20:25

score 69 · Answer 10 · 2026-04-16 16:04:05

69

Views

Prove that for any positive integer c, there are infinitely many integers x with gcd(a+bx,c)=1.

Published on 16 Apr 2026 - 16:04

score 368 · Answer 11 · 2026-04-10 00:58:41

368

Views

$(a-b)^2$ divides $ab$

Published on 10 Apr 2026 - 0:58

score 46 · Answer 12 · 2026-04-11 02:04:04

46

Views

How to prove the ratio $ \dfrac{x(2017x + y)}{2018x + y} $ in the simplest form?

Published on 11 Apr 2026 - 2:04

score 45 · Answer 13 · 2026-04-13 11:31:04

45

Views

Does not $(100x+51)^2-1$ end in $4$ zeros?

Published on 13 Apr 2026 - 11:31

score 474 · Answer 14 · 2026-04-09 03:41:14

474

Views

Let $m$ be the largest integer $\le n$ which is a power of 2.Put $l_n=LCM(1,2,3...n).$Show that $l_n/m$ is odd

Published on 09 Apr 2026 - 3:41

score 93 · Answer 15 · 2026-04-16 18:40:38

93

Views

Minimum of the maximum

Published on 16 Apr 2026 - 18:40

List Question

How to find the number of solutions to $ 2x^{4}+x^{3}-4x+11\equiv 0 \pmod{1000000}$?

Prove $n < 2^n$ using principle of well order

All prime factors of $a^2+b^2$ can be written as the sum of squares or have even multiplicity.

What do you call a function that takes basis open sets to basis open sets in preimage?

$30\mid p_1^4+p_2^4+\cdots+p_{31}^4$. Prove that $p_1=2,p_2=3,p_3=5$

$(1+1/a) (1+1/b) (1+1/c) = 4 $ Are there any other positive integer than 1,2,3 which satisfy the equation?

How many different integer solutions exist for $p(x)=23$

Is there always a prime number in these sets?

Find two least composite numbers $n$ such that $n\mid2^n-2$ and $n\mid3^n-3$.

Prove that for any positive integer c, there are infinitely many integers x with gcd(a+bx,c)=1.

$(a-b)^2$ divides $ab$

How to prove the ratio $ \dfrac{x(2017x + y)}{2018x + y} $ in the simplest form?

Does not $(100x+51)^2-1$ end in $4$ zeros?

Let $m$ be the largest integer $\le n$ which is a power of 2.Put $l_n=LCM(1,2,3...n).$Show that $l_n/m$ is odd

Minimum of the maximum

Trending Questions

Popular # Hahtags

Popular Questions