List questions from perfect-powers

Published on 23 Aug 2016 - 1:53

43

Views

why do last 4 digits of any square can be equal only when all of them equal 0?

Published on 28 Aug 2016 - 9:04

60

Views

Properties of integers $x^n+2$ when $n \ge 3$

Published on 02 Sep 2016 - 15:33

564

Views

Prove that every number of the sequence $49,4489,444889,\ldots$ is a perfect square

Published on 03 Sep 2016 - 8:05

309

Views

Prove that $\sum\limits_{k=1}^n (k!)^2$ is not a perfect square when $n\ge2$

Published on 05 Sep 2016 - 7:25

480

Views

How can I prove that $2^{2^x}+1$ is always prime?

Published on 06 Sep 2016 - 14:26

113

Views

$N$ be a natural number consisting all digits except $0.$ If the last digit of $N$ is 5 then prove that $N$ can't be a perfect square.

Published on 07 Sep 2016 - 14:36

18

Views

Calculating geneology/population given starting population and number of years

Published on 10 Sep 2016 - 6:05

607

Views

Why are non-trivial powers called perfect powers?

Published on 11 Oct 2016 - 15:53

66

Views

A rarely mentioned fact about perfect powers

Published on 11 Oct 2016 - 16:09

348

Views

A conjecture relate to Euler's sum of powers conjecture

Published on 02 Nov 2016 - 0:02

537

Views

Sum of any subset of 20 integers should be a perfect square

Published on 18 Nov 2016 - 13:49

305

Views

Difference of fourth powers in three ways

Published on 23 Nov 2016 - 1:17

152

Views

When is $\displaystyle \phi(\sigma(n)) $ is a perfect square?

Published on 27 Dec 2016 - 23:50

890

Views

$N$ consecutive non powers

Published on 29 Dec 2016 - 17:28

List Question

Solutions to $a^x = b^y$

why do last 4 digits of any square can be equal only when all of them equal 0?

Properties of integers $x^n+2$ when $n \ge 3$

Prove that every number of the sequence $49,4489,444889,\ldots$ is a perfect square

Prove that $\sum\limits_{k=1}^n (k!)^2$ is not a perfect square when $n\ge2$

How can I prove that $2^{2^x}+1$ is always prime?

$N$ be a natural number consisting all digits except $0.$ If the last digit of $N$ is 5 then prove that $N$ can't be a perfect square.

Calculating geneology/population given starting population and number of years

Why are non-trivial powers called perfect powers?

A rarely mentioned fact about perfect powers

A conjecture relate to Euler's sum of powers conjecture

Sum of any subset of 20 integers should be a perfect square

Difference of fourth powers in three ways

When is $\displaystyle \phi(\sigma(n)) $ is a perfect square?

$N$ consecutive non powers

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