Question

Are there any primitive examples besides 56,65 where the sum of a number's cube and its digital reverse's cubes is square?

score 83 · Answer 1 · 2021-07-18 03:21:45

83

Views

Are there any primitive examples besides 56,65 where the sum of a number's cube and its digital reverse's cubes is square?

Published on 18 Jul 2021 - 3:21

score 38 · Answer 2 · 2021-07-18 14:01:55

38

Views

Proof verification of a question associated with perfect cubes

Published on 18 Jul 2021 - 14:01

score 434 · Answer 3 · 2021-07-30 18:49:28

434

Views

Are there solutions to $a^5=b^5+c^5+d^5$ where $a,b,c,d \in \mathbb{N}$?

Published on 30 Jul 2021 - 18:49

score 154 · Answer 4 · 2021-07-31 21:10:42

154

Views

Infinitely many $n$ which divide $3^{6n-1} - 1$

Published on 31 Jul 2021 - 21:10

score 766 · Answer 5 · 2021-08-17 19:20:12

766

Views

How well does this method of checking if an integer $N$ is a square perform?

Published on 17 Aug 2021 - 19:20

score 86 · Answer 6 · 2021-09-06 13:10:42

86

Views

Does there exist a positive integer $k$ and an irreducible polynomial $P$ of degree at least $2$ such that $P$ is a power of $k$ infinitely often?

Published on 06 Sep 2021 - 13:10

score 92 · Answer 7 · 2021-10-18 16:32:23

92

Views

Consecutive prime powers that are not prime

Published on 18 Oct 2021 - 16:32

score 161 · Answer 8 · 2021-11-20 23:35:22

161

Views

Squareful Part of a Family of Numbers

Published on 20 Nov 2021 - 23:35

score 78 · Answer 9 · 2021-11-24 09:01:24

78

Views

Find all triples $(a,b,c)$ giving $3$ powers of $3$ simultaneously

Published on 24 Nov 2021 - 9:01

score 112 · Answer 10 · 2021-12-19 23:48:50

112

Views

Find all positive integers $x,y$ such that $(x+y)(xy+1)$ is a power of $2$

Published on 19 Dec 2021 - 23:48

score 54 · Answer 11 · 2022-01-16 23:05:44

54

Views

Is it the case that for every $n$, $m$, there is an integer expressible as a sum of $m$ distinct positive integer squares in $n$ distinct ways?

Published on 16 Jan 2022 - 23:05

score 187 · Answer 12 · 2022-01-18 03:54:19

187

Views

About the diophantine equation $x^3+y^3=z^8$

Published on 18 Jan 2022 - 3:54

score 59 · Answer 13 · 2022-02-18 01:50:29

59

Views

I can't understand this solution with $\equiv$

Published on 18 Feb 2022 - 1:50

score 84 · Answer 14 · 2022-02-28 12:35:22

84

Views

Fixed point power function for fractional values

Published on 28 Feb 2022 - 12:35

score 38 · Answer 15 · 2022-03-01 18:31:16

38

Views

Whole number solutions to $2n^4+1=m^2$.

Published on 01 Mar 2022 - 18:31

List Question

Are there any primitive examples besides 56,65 where the sum of a number's cube and its digital reverse's cubes is square?

Proof verification of a question associated with perfect cubes

Are there solutions to $a^5=b^5+c^5+d^5$ where $a,b,c,d \in \mathbb{N}$?

Infinitely many $n$ which divide $3^{6n-1} - 1$

How well does this method of checking if an integer $N$ is a square perform?

Does there exist a positive integer $k$ and an irreducible polynomial $P$ of degree at least $2$ such that $P$ is a power of $k$ infinitely often?

Consecutive prime powers that are not prime

Squareful Part of a Family of Numbers

Find all triples $(a,b,c)$ giving $3$ powers of $3$ simultaneously

Find all positive integers $x,y$ such that $(x+y)(xy+1)$ is a power of $2$

Is it the case that for every $n$, $m$, there is an integer expressible as a sum of $m$ distinct positive integer squares in $n$ distinct ways?

About the diophantine equation $x^3+y^3=z^8$

I can't understand this solution with $\equiv$

Fixed point power function for fractional values

Whole number solutions to $2n^4+1=m^2$.

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