Question

Is the meaning of indeterminate in the context of polynomial theory the same as in the context of, say, L'Hopital's rule?

score 247 · Answer 1 · 2026-05-11 09:15:22

247

Views

Is the meaning of indeterminate in the context of polynomial theory the same as in the context of, say, L'Hopital's rule?

Published on 11 May 2026 - 9:15

score 143 · Answer 2 · 2026-04-12 16:50:17

143

Views

Average of all 3 digit numbers with distinct digits

Published on 12 Apr 2026 - 16:50

score 337 · Answer 3 · 2026-04-24 21:31:24

337

Views

every prime in the form $3k+1$ can be written as the sum of a square and three times a square

Published on 24 Apr 2026 - 21:31

score 137 · Answer 4 · 2026-04-15 05:21:14

137

Views

Is $2^{57} + 1$ is a composite number?

Published on 15 Apr 2026 - 5:21

score 382 · Answer 5 · 2026-04-09 11:23:29

382

Views

Let m be the least common multiple of a,b and c be another common multiple. Prove that m divides c.

Published on 09 Apr 2026 - 11:23

score 63 · Answer 6 · 2026-04-29 04:57:23

63

Views

If $a^2 + 1$ is prime then the unitary digit of $a$ must be either of 4,6 or 0 for $\forall a \geq 3 \in \mathbb{N}$.

Published on 29 Apr 2026 - 4:57

score 61 · Answer 7 · 2026-04-17 03:00:26

61

Views

For any $a \in \mathbb{N}$, $4^a \equiv (3a+1) \mod 9$

Published on 17 Apr 2026 - 3:00

score 1.1k · Answer 8 · 2026-04-13 16:56:39

1.1k

Views

Prove that every number has a unique representation in base 3.

Published on 13 Apr 2026 - 16:56

score 1.5k · Answer 9 · 2026-05-15 10:48:42

1.5k

Views

Given any $n+2$ integers, show that there exist two of them whose sum, or else whose difference, is divisible by $2n$.

Published on 15 May 2026 - 10:48

score 725 · Answer 10 · 2026-04-14 11:44:17

725

Views

Does this infinite primes snake-product converge?

Published on 14 Apr 2026 - 11:44

score 94 · Answer 11 · 2026-04-16 05:48:53

94

Views

For which even integers $k$ has $\varphi(n+1)-\varphi(n)=k$ a solution?

Published on 16 Apr 2026 - 5:48

score 304 · Answer 12 · 2026-05-15 00:39:12

304

Views

Hint Needed: Proving $\sqrt{2}$ is irrational using induction

Published on 15 May 2026 - 0:39

score 186 · Answer 13 · 2026-04-17 12:59:33

186

Views

A question from my high school Olympiad.

Published on 17 Apr 2026 - 12:59

score 95 · Answer 14 · 2026-05-10 16:10:18

95

Views

Is there integer $x$ such that $79|7x^2+4x-23$

Published on 10 May 2026 - 16:10

score 852 · Answer 15 · 2026-04-09 07:30:35

852

Views

Probability that 4 single digit numbers whose sum is 28 contain at least two prime numbers

Published on 09 Apr 2026 - 7:30

List Question

Is the meaning of indeterminate in the context of polynomial theory the same as in the context of, say, L'Hopital's rule?

Average of all 3 digit numbers with distinct digits

every prime in the form $3k+1$ can be written as the sum of a square and three times a square

Is $2^{57} + 1$ is a composite number?

Let m be the least common multiple of a,b and c be another common multiple. Prove that m divides c.

If $a^2 + 1$ is prime then the unitary digit of $a$ must be either of 4,6 or 0 for $\forall a \geq 3 \in \mathbb{N}$.

For any $a \in \mathbb{N}$, $4^a \equiv (3a+1) \mod 9$

Prove that every number has a unique representation in base 3.

Given any $n+2$ integers, show that there exist two of them whose sum, or else whose difference, is divisible by $2n$.

Does this infinite primes snake-product converge?

For which even integers $k$ has $\varphi(n+1)-\varphi(n)=k$ a solution?

Hint Needed: Proving $\sqrt{2}$ is irrational using induction

A question from my high school Olympiad.

Is there integer $x$ such that $79|7x^2+4x-23$

Probability that 4 single digit numbers whose sum is 28 contain at least two prime numbers

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