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 76 · Answer 1 · 2018-05-09 22:04:01

76

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 09 May 2018 - 22:04

score 78 · Answer 2 · 2018-05-13 10:27:03

78

Views

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

Published on 13 May 2018 - 10:27

score 241 · Answer 3 · 2018-05-20 07:33:52

241

Views

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

Published on 20 May 2018 - 7:33

score 92 · Answer 4 · 2018-05-23 04:28:55

92

Views

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

Published on 23 May 2018 - 4:28

score 9.3k · Answer 5 · 2018-05-24 23:34:04

9.3k

Views

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

Published on 24 May 2018 - 23:34

score 179 · Answer 6 · 2018-05-25 00:09:45

179

Views

Is the below nested radical converge?

Published on 25 May 2018 - 0:09

score 90 · Answer 7 · 2026-03-23 11:14:37

90

Views

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

Published on 23 Mar 2026 - 11:14

score 333 · Answer 8 · 2018-05-28 14:18:33

333

Views

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

Published on 28 May 2018 - 14:18

score 309 · Answer 9 · 2018-05-29 00:39:57

309

Views

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

Published on 29 May 2018 - 0:39

score 413 · Answer 10 · 2018-05-29 17:42:12

413

Views

Squares in the sequence $ a3^n+b$

Published on 29 May 2018 - 17:42

score 267 · Answer 11 · 2026-03-25 04:42:49

267

Views

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

Published on 25 Mar 2026 - 4:42

score 63 · Answer 12 · 2026-03-17 12:13:06

63

Views

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

Published on 17 Mar 2026 - 12:13

score 66 · Answer 13 · 2018-06-04 14:24:31

66

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 04 Jun 2018 - 14:24

score 322 · Answer 14 · 2018-06-08 13:28:26

322

Views

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

Published on 08 Jun 2018 - 13:28

score 772 · Answer 15 · 2018-06-09 13:46:11

772

Views

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

Published on 09 Jun 2018 - 13:46

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

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