Question

Does $\exists n : 6 + \sum_{i=2}^n p_i = x^6+y^6$ for $p_i$ the $i^{\text{th}}$ prime and $x,y\in\mathbb{Z}$?

score 78 · Answer 1 · 2026-04-16 15:04:43

78

Views

Does $\exists n : 6 + \sum_{i=2}^n p_i = x^6+y^6$ for $p_i$ the $i^{\text{th}}$ prime and $x,y\in\mathbb{Z}$?

Published on 16 Apr 2026 - 15:04

score 80 · Answer 2 · 2026-04-15 13:20:02

80

Views

If $25 = a^2$ then the value of a will be

Published on 15 Apr 2026 - 13:20

score 244 · Answer 3 · 2026-04-15 10:01:56

244

Views

Are $(2,28)$ and $(5,3207)$ the only solutions $(m,n)\in\mathbb{N}^2$?

Published on 15 Apr 2026 - 10:01

score 94 · Answer 4 · 2026-04-14 01:09:25

94

Views

If $−1<a−b<10$,and$−3≤b≤1$ then what inequality represents the range of values of $a^2$?

Published on 14 Apr 2026 - 1:09

score 9.3k · Answer 5 · 2026-05-10 14:57:06

9.3k

Views

Why is there a pattern to the last digits of square numbers?

Published on 10 May 2026 - 14:57

score 182 · Answer 6 · 2026-04-12 12:41:19

182

Views

Is the below nested radical converge?

Published on 12 Apr 2026 - 12:41

score 94 · Answer 7 · 2026-04-21 03:15:12

94

Views

On a conjecture that $P_n^{\,2}+5^2+2^k=(P_n-1)^2+l^2$.

Published on 21 Apr 2026 - 3:15

score 336 · Answer 8 · 2026-04-17 09:55:46

336

Views

Find all positive integers $n$ such that $\sqrt{1996\cdot1997^n+1997 }$ is a perfect square.

Published on 17 Apr 2026 - 9:55

score 312 · Answer 9 · 2026-04-12 13:54:54

312

Views

How many integers $\leq n$ are a sum of two squares as $n \to \infty$?

Published on 12 Apr 2026 - 13:54

score 417 · Answer 10 · 2026-04-16 17:30:56

417

Views

Squares in the sequence $ a3^n+b$

Published on 16 Apr 2026 - 17:30

score 269 · Answer 11 · 2026-04-15 06:10:00

269

Views

Odd abundant numbers and the condition $\sqrt{n^2+12n\sigma(n)}\in\mathbb{Z}_{\geq 1}$

Published on 15 Apr 2026 - 6:10

score 68 · Answer 12 · 2026-04-23 11:44:19

68

Views

On numbers of the form $\pm x^2\pm N_k$, with $x\geq 1$ integer and $N_k$ denoting primorials

Published on 23 Apr 2026 - 11:44

score 69 · Answer 13 · 2026-04-15 09:42:29

69

Views

How can be proved that every square number can be expressed as the sum of another square number and some semiprime number?

Published on 15 Apr 2026 - 9:42

score 327 · Answer 14 · 2026-04-17 04:21:41

327

Views

Can $n+1$ , $2n+1$ , $3n+1$ all be perfect squares , if $n$ is a positive integer?

Published on 17 Apr 2026 - 4:21

score 775 · Answer 15 · 2026-04-09 22:57:18

775

Views

Classification of the positive integers not being the sum of four non-zero squares

Published on 09 Apr 2026 - 22:57

List Question

Does $\exists n : 6 + \sum_{i=2}^n p_i = x^6+y^6$ for $p_i$ the $i^{\text{th}}$ prime and $x,y\in\mathbb{Z}$?

If $25 = a^2$ then the value of a will be

Are $(2,28)$ and $(5,3207)$ the only solutions $(m,n)\in\mathbb{N}^2$?

If $−1<a−b<10$,and$−3≤b≤1$ then what inequality represents the range of values of $a^2$?

Why is there a pattern to the last digits of square numbers?

Is the below nested radical converge?

On a conjecture that $P_n^{\,2}+5^2+2^k=(P_n-1)^2+l^2$.

Find all positive integers $n$ such that $\sqrt{1996\cdot1997^n+1997 }$ is a perfect square.

How many integers $\leq n$ are a sum of two squares as $n \to \infty$?

Squares in the sequence $ a3^n+b$

Odd abundant numbers and the condition $\sqrt{n^2+12n\sigma(n)}\in\mathbb{Z}_{\geq 1}$

On numbers of the form $\pm x^2\pm N_k$, with $x\geq 1$ integer and $N_k$ denoting primorials

How can be proved that every square number can be expressed as the sum of another square number and some semiprime number?

Can $n+1$ , $2n+1$ , $3n+1$ all be perfect squares , if $n$ is a positive integer?

Classification of the positive integers not being the sum of four non-zero squares

Trending Questions

Popular # Hahtags

Popular Questions