Question

How big is $\{n\in\Bbb N\mid 1\leq n\leq 2000\text{ and the digital sum of }n^2=21\}$?

score 163 · Answer 1 · 2020-06-07 15:54:12

163

Views

How big is $\{n\in\Bbb N\mid 1\leq n\leq 2000\text{ and the digital sum of }n^2=21\}$?

Published on 07 Jun 2020 - 15:54

score 203 · Answer 2 · 2026-04-01 20:38:59

203

Views

Show for any monic polynomial $p(x)$ and for any $k$ that there are $k$ primes $q_i$ and $k$ integers that $n_i$ such that $q_i|p(n_i)$

Published on 01 Apr 2026 - 20:38

score 52 · Answer 3 · 2020-06-09 00:52:07

52

Views

How to prove $\frac{a^2}{a-1} + \frac{b^2}{b+1} >= 1/3 $ when $a, b \in \mathbb{R}_{> 0}$ such that $a + b = 1$.

Published on 09 Jun 2020 - 0:52

score 1.5k · Answer 4 · 2026-03-25 20:41:34

1.5k

Views

Is there a smooth, preferably analytic function that grows faster than any function in the sequence $e^x, e^{e^x}, e^{e^{e^x}}...$

Published on 25 Mar 2026 - 20:41

score 1k · Answer 5 · 2020-06-09 07:39:59

1k

Views

How do I calculate the price of 50g of a product, if the total grams of the product cost a certain amount

Published on 09 Jun 2020 - 7:39

score 45 · Answer 6 · 2020-06-09 08:58:28

45

Views

Does there exist a smooth function that eventually becomes n-logarithimcally convex for each n?

Published on 09 Jun 2020 - 8:58

score 48 · Answer 7 · 2026-04-01 20:42:54

48

Views

Determine every polynomial with real coefficients such that $P(P(x))=[P(x)]^k$

Published on 01 Apr 2026 - 20:42

score 154 · Answer 8 · 2026-04-01 07:46:46

154

Views

Gebrane's Hanoi

Published on 01 Apr 2026 - 7:46

score 30 · Answer 9 · 2020-06-11 15:37:43

30

Views

Maximise the value of two items with two inputs

Published on 11 Jun 2020 - 15:37

score 436 · Answer 10 · 2020-06-12 10:21:24

436

Views

total number of list of delegates in this question

Published on 12 Jun 2020 - 10:21

score 97 · Answer 11 · 2020-06-12 13:41:15

97

Views

solving $3(x_{n+1} - x_{n}) = \sqrt{16+x^2_n} +\sqrt{16+x^2_{n+1}}$ with $x_1=3$

Published on 12 Jun 2020 - 13:41

score 85 · Answer 12 · 2026-03-26 06:25:48

85

Views

Geometric interpretation to $|Z^2-9| +|Z^2|=41$

Published on 26 Mar 2026 - 6:25

score 173 · Answer 13 · 2020-06-12 16:26:48

173

Views

A modified problem of finding the heaviest ball

Published on 12 Jun 2020 - 16:26

score 112 · Answer 14 · 2020-06-12 17:04:39

112

Views

solving this probability paragraph

Published on 12 Jun 2020 - 17:04

score 60 · Answer 15 · 2020-06-12 17:36:29

60

Views

proving some interesting properties of these matrices

Published on 12 Jun 2020 - 17:36

List Question

How big is $\{n\in\Bbb N\mid 1\leq n\leq 2000\text{ and the digital sum of }n^2=21\}$?

Show for any monic polynomial $p(x)$ and for any $k$ that there are $k$ primes $q_i$ and $k$ integers that $n_i$ such that $q_i|p(n_i)$

How to prove $\frac{a^2}{a-1} + \frac{b^2}{b+1} >= 1/3 $ when $a, b \in \mathbb{R}_{> 0}$ such that $a + b = 1$.

Is there a smooth, preferably analytic function that grows faster than any function in the sequence $e^x, e^{e^x}, e^{e^{e^x}}...$

How do I calculate the price of 50g of a product, if the total grams of the product cost a certain amount

Does there exist a smooth function that eventually becomes n-logarithimcally convex for each n?

Determine every polynomial with real coefficients such that $P(P(x))=[P(x)]^k$

Gebrane's Hanoi

Maximise the value of two items with two inputs

total number of list of delegates in this question

solving $3(x_{n+1} - x_{n}) = \sqrt{16+x^2_n} +\sqrt{16+x^2_{n+1}}$ with $x_1=3$

Geometric interpretation to $|Z^2-9| +|Z^2|=41$

A modified problem of finding the heaviest ball

solving this probability paragraph

proving some interesting properties of these matrices

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