Question

Calculating approximate waking up times spanning 60 days instead spanning 50 days for FRSD sufferers

score 34 · Answer 1 · 2020-01-10 03:45:28

34

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Calculating approximate waking up times spanning 60 days instead spanning 50 days for FRSD sufferers

Published on 10 Jan 2020 - 3:45

score 1.4k · Answer 2 · 2020-01-10 04:11:47

1.4k

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Is there a simple way to prove that a polynomial is divisible by other irreducible polynomial?

Published on 10 Jan 2020 - 4:11

score 333 · Answer 3 · 2020-01-10 21:35:01

333

Views

98 trailing zeroes for $a^ab^b$ find $\min{ab}$

Published on 10 Jan 2020 - 21:35

score 53 · Answer 4 · 2020-01-10 23:44:46

53

Views

Determine all value of $p,q\in\mathbb{N}$ such that : $2^{5}5^{3}=(p+1)(2q+p)$

Published on 10 Jan 2020 - 23:44

score 125 · Answer 5 · 2026-03-28 14:00:26

125

Views

$n \in \mathbb{N}$ has at least 73 two-digit divisors. Prove that one of the divisors is 60.

Published on 28 Mar 2026 - 14:00

score 52 · Answer 6 · 2020-01-12 14:15:21

52

Views

Prove that the division of the square of an integer by 3 never yields 2 as the remainder.

Published on 12 Jan 2020 - 14:15

score 73 · Answer 7 · 2026-04-02 10:58:19

73

Views

Show that $x^4 +1 | x^{p^2-1}-1$, for prime $p>3$

Published on 02 Apr 2026 - 10:58

score 39 · Answer 8 · 2026-03-30 20:40:51

39

Views

Prove that $2n\mid m$ is asymmetric

Published on 30 Mar 2026 - 20:40

score 84 · Answer 9 · 2020-01-14 16:37:07

84

Views

When $\psi_{(\lambda,\xi)} = \frac{(\lambda^2+\xi^2)^2}{(\lambda^2-\xi^2-2\lambda\xi)^2}$ is an integer

Published on 14 Jan 2020 - 16:37

score 563 · Answer 10 · 2026-04-01 12:02:02

563

Views

Natural numbers equal to the sum of the squares of their four smallest divisors

Published on 01 Apr 2026 - 12:02

score 31 · Answer 11 · 2026-04-01 04:21:56

31

Views

Check Proof by Contradiction

Published on 01 Apr 2026 - 4:21

score 152 · Answer 12 · 2020-01-16 13:20:42

152

Views

Density of primes among the first $k$ numbers formed by the digits of $\pi$?

Published on 16 Jan 2020 - 13:20

score 3.1k · Answer 13 · 2020-01-19 14:23:41

3.1k

Views

Divisibility of 9 trick: why does it work?

Published on 19 Jan 2020 - 14:23

score 151 · Answer 14 · 2026-03-25 23:13:08

151

Views

On the Diophantine equation $m^2 - p^k = 4z$, where $z \in \mathbb{N}$ and $p$ is a prime satisfying $p \equiv k \equiv 1 \pmod 4$

Published on 25 Mar 2026 - 23:13

score 453 · Answer 15 · 2026-03-29 11:49:30

453

Views

A generalization of the (in)famous IMO 1988 problem 6: If $\frac{a^2 + b^2 - abc}{ab + 1}$ is a positive integer then it is a square.

Published on 29 Mar 2026 - 11:49

List Question

Calculating approximate waking up times spanning 60 days instead spanning 50 days for FRSD sufferers

Is there a simple way to prove that a polynomial is divisible by other irreducible polynomial?

98 trailing zeroes for $a^ab^b$ find $\min{ab}$

Determine all value of $p,q\in\mathbb{N}$ such that : $2^{5}5^{3}=(p+1)(2q+p)$

$n \in \mathbb{N}$ has at least 73 two-digit divisors. Prove that one of the divisors is 60.

Prove that the division of the square of an integer by 3 never yields 2 as the remainder.

Show that $x^4 +1 | x^{p^2-1}-1$, for prime $p>3$

Prove that $2n\mid m$ is asymmetric

When $\psi_{(\lambda,\xi)} = \frac{(\lambda^2+\xi^2)^2}{(\lambda^2-\xi^2-2\lambda\xi)^2}$ is an integer

Natural numbers equal to the sum of the squares of their four smallest divisors

Check Proof by Contradiction

Density of primes among the first $k$ numbers formed by the digits of $\pi$?

Divisibility of 9 trick: why does it work?

On the Diophantine equation $m^2 - p^k = 4z$, where $z \in \mathbb{N}$ and $p$ is a prime satisfying $p \equiv k \equiv 1 \pmod 4$

A generalization of the (in)famous IMO 1988 problem 6: If $\frac{a^2 + b^2 - abc}{ab + 1}$ is a positive integer then it is a square.

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