Question

a version of the famous $n!+1=m^2$ problem

score 120 · Answer 1 · 2019-08-25 11:35:49

120

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a version of the famous $n!+1=m^2$ problem

Published on 25 Aug 2019 - 11:35

score 104 · Answer 2 · 2019-08-26 08:38:58

104

Views

Determinant Optimization Conjecture

Published on 26 Aug 2019 - 8:38

score 248 · Answer 3 · 2026-03-25 07:40:03

248

Views

Why problem with simple formulation is so hard?

Published on 25 Mar 2026 - 7:40

score 197 · Answer 4 · 2026-03-25 17:26:18

197

Views

$n^{th}$ Dimensional Prime Nexus Conjecture (Hamilton's Path & Cycle)

Published on 25 Mar 2026 - 17:26

score 291 · Answer 5 · 2019-09-04 12:04:51

291

Views

Conjecture: Any sufficiently big sum of three squares can be written as a square sum of three different natural numbers greater than zero

Published on 04 Sep 2019 - 12:04

score 70 · Answer 6 · 2019-09-06 10:55:27

70

Views

Natural numbers that are square sums of four different nonzero integers

Published on 06 Sep 2019 - 10:55

score 56 · Answer 7 · 2019-09-08 03:41:46

56

Views

Conjecture: $n\in\mathbb{Z}^+\Rightarrow 0=\int_{0}^\infty x^{4n-1}\sin(x)e^{-x}dx$

Published on 08 Sep 2019 - 3:41

score 45 · Answer 8 · 2019-09-08 17:27:34

45

Views

Manipulating sets into periodic sets

Published on 08 Sep 2019 - 17:27

score 419 · Answer 9 · 2026-03-25 15:46:17

419

Views

Is there a Collatz 'branch' stopping time equation?

Published on 25 Mar 2026 - 15:46

score 113 · Answer 10 · 2019-09-13 23:24:52

113

Views

$\int_{0}^{\infty}\sin({x f({x})}) d x$ converges for positive monotone increasing unbounded continuous $f({x})$

Published on 13 Sep 2019 - 23:24

score 76 · Answer 11 · 2019-09-15 12:58:28

76

Views

Is there a conjecture suggesting if some other conjecture is true for all $x<n$, then it's true for all $x$?

Published on 15 Sep 2019 - 12:58

score 157 · Answer 12 · 2019-09-16 01:22:16

157

Views

Conjecture: There is no $n\neq3$ such that $\arctan(1)+\arctan(2)+\cdots+\arctan(n)=\frac{k\pi}{2}$, with $k$ integer.

Published on 16 Sep 2019 - 1:22

score 94 · Answer 13 · 2019-09-25 03:43:53

94

Views

A pattern on finding squares for which their sum is $\Big(\sum\limits_{i=0}^j x^i\Big)^2$

Published on 25 Sep 2019 - 3:43

score 215 · Answer 14 · 2019-09-25 17:58:00

215

Views

Rare gaps between integers having the same number of co-primes

Published on 25 Sep 2019 - 17:58

score 140 · Answer 15 · 2026-03-25 23:11:06

140

Views

Can this heuristic argument be useful to prove: Sum of digits of $a^b$ equals $ab$ conjecture?

Published on 25 Mar 2026 - 23:11

List Question

a version of the famous $n!+1=m^2$ problem

Determinant Optimization Conjecture

Why problem with simple formulation is so hard?

$n^{th}$ Dimensional Prime Nexus Conjecture (Hamilton's Path & Cycle)

Conjecture: Any sufficiently big sum of three squares can be written as a square sum of three different natural numbers greater than zero

Natural numbers that are square sums of four different nonzero integers

Conjecture: $n\in\mathbb{Z}^+\Rightarrow 0=\int_{0}^\infty x^{4n-1}\sin(x)e^{-x}dx$

Manipulating sets into periodic sets

Is there a Collatz 'branch' stopping time equation?

$\int_{0}^{\infty}\sin({x f({x})}) d x$ converges for positive monotone increasing unbounded continuous $f({x})$

Is there a conjecture suggesting if some other conjecture is true for all $x<n$, then it's true for all $x$?

Conjecture: There is no $n\neq3$ such that $\arctan(1)+\arctan(2)+\cdots+\arctan(n)=\frac{k\pi}{2}$, with $k$ integer.

A pattern on finding squares for which their sum is $\Big(\sum\limits_{i=0}^j x^i\Big)^2$

Rare gaps between integers having the same number of co-primes

Can this heuristic argument be useful to prove: Sum of digits of $a^b$ equals $ab$ conjecture?

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