Question

Justifying the use of an unconventional metric to rate accuracy of predictions

score 84 · Answer 1 · 2026-04-13 21:43:47

84

Views

Justifying the use of an unconventional metric to rate accuracy of predictions

Published on 13 Apr 2026 - 21:43

score 319 · Answer 2 · 2026-04-15 10:47:10

319

Views

Moving Coins (find winning strategy)

Published on 15 Apr 2026 - 10:47

score 261 · Answer 3 · 2026-04-15 20:34:20

261

Views

What is the length of the longest side?

Published on 15 Apr 2026 - 20:34

score 49 · Answer 4 · 2026-04-10 17:25:05

49

Views

parameter family of functions $[0,\infty) \to [0,1)$

Published on 10 Apr 2026 - 17:25

score 358 · Answer 5 · 2026-04-10 03:06:19

358

Views

Intuition behind sums of sums of whole numbers

Published on 10 Apr 2026 - 3:06

score 422 · Answer 6 · 2026-04-14 06:00:31

422

Views

Observation and conjecture on Lychrel numbers

Published on 14 Apr 2026 - 6:00

score 317 · Answer 7 · 2026-03-25 20:34:38

317

Views

Question concerning the solution of a certain calendar problem involving modular arithmetic.

Published on 25 Mar 2026 - 20:34

score 334 · Answer 8 · 2026-04-15 17:41:01

334

Views

Minimum number of elements in $\{0, 1, 2, \dots, n\}$ that add up to all of the elements of $\{0, 1, 2, \dots, n\}$.

Published on 15 Apr 2026 - 17:41

score 134 · Answer 9 · 2026-04-17 13:26:09

134

Views

Prove that $f(x) = 0$ for some $x$ under the assumption that there exists a continuous function $g$ such that $f + g$ is non decreasing.

Published on 17 Apr 2026 - 13:26

score 319 · Answer 10 · 2026-04-16 07:52:45

319

Views

Let $ a$ be a fixed natural number. Prove that the set of prime divisors of $ 2^{2^{n}} + a$ for $ n = 1,2,\cdots$ is infinite

Published on 16 Apr 2026 - 7:52

score 1.4k · Answer 11 · 2026-04-13 02:06:31

1.4k

Views

Pentagram and Golden Ratio

Published on 13 Apr 2026 - 2:06

score 369 · Answer 12 · 2026-04-16 00:42:42

369

Views

USAMO $1989$, Problem $2$

Published on 16 Apr 2026 - 0:42

score 157 · Answer 13 · 2026-04-14 21:27:01

157

Views

Olympiads Number Theory Problem: Show that there are no positive $a,b,c\in\Bbb Z$ such that $\frac{a^2+b^2+c^2}{3(ab+bc+ca)}\in\Bbb Z$

Published on 14 Apr 2026 - 21:27

score 121 · Answer 14 · 2026-04-15 02:17:19

121

Views

Area of sector form

Published on 15 Apr 2026 - 2:17

score 56 · Answer 15 · 2026-05-03 11:09:03

56

Views

Is there an integer matrix with distinct entries and more than 2 rows with the property that every row sum is equal to every column product?

Published on 03 May 2026 - 11:09

List Question

Justifying the use of an unconventional metric to rate accuracy of predictions

Moving Coins (find winning strategy)

What is the length of the longest side?

parameter family of functions $[0,\infty) \to [0,1)$

Intuition behind sums of sums of whole numbers

Observation and conjecture on Lychrel numbers

Question concerning the solution of a certain calendar problem involving modular arithmetic.

Minimum number of elements in $\{0, 1, 2, \dots, n\}$ that add up to all of the elements of $\{0, 1, 2, \dots, n\}$.

Prove that $f(x) = 0$ for some $x$ under the assumption that there exists a continuous function $g$ such that $f + g$ is non decreasing.

Let $ a$ be a fixed natural number. Prove that the set of prime divisors of $ 2^{2^{n}} + a$ for $ n = 1,2,\cdots$ is infinite

Pentagram and Golden Ratio

USAMO $1989$, Problem $2$

Olympiads Number Theory Problem: Show that there are no positive $a,b,c\in\Bbb Z$ such that $\frac{a^2+b^2+c^2}{3(ab+bc+ca)}\in\Bbb Z$

Area of sector form

Is there an integer matrix with distinct entries and more than 2 rows with the property that every row sum is equal to every column product?

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