User Keith Backman

36 votes

Can any number of squares sum to a square?

answered Dec 7, 2019 at 17:34

8 votes

How To solve This Perfect Square Word Problem

answered Jan 30, 2019 at 2:48

7 votes

Accepted

Show that there are infinitely many natural numbers such that $a^2+b^2=c^2+3 .$

answered Dec 5, 2019 at 17:27

7 votes

Why does fermat little theorem work?

answered Sep 12, 2019 at 15:06

7 votes

Accepted

Find all positive integers $n$ such that $36^n - 6$ is the product of three consecutive naturals.

answered Apr 4, 2020 at 16:21

6 votes

Proving true or false integral solution to equation $X^2-13Y^2 = 7$

answered Jul 11, 2022 at 17:02

6 votes

Accepted

What is the number of different sums of the items of a set of consecutive natural numbers?

answered Jul 17, 2022 at 19:44

6 votes

Does digit $6$ always lead to $\ 25921=161^2\ $?

answered Apr 17, 2019 at 22:03

6 votes

Does it follow from Gödel's theorem that this world cannot be fully described by math?

answered Jul 24, 2018 at 19:20

5 votes

Accepted

Are there any 2 primitive pythagorean triples who share a common leg?

answered Aug 13, 2018 at 1:45

5 votes

Accepted

$x$, $y$, $z$ are distinct non-zero digits such that $zyx+zyx+zyx=xxx$ (concatenation, not multiplication) ...

answered Jul 26, 2019 at 20:19

5 votes

Show that we cannot have a prime triplet of the form $p$, $p + 2$, $p + 4$ for $p >3$

answered May 5, 2020 at 17:44

5 votes

Why are even primes notable?

answered Feb 15, 2020 at 19:14

5 votes

Find all the positive integer n and prime number p such that $n^3-p^5=p^6+3n-2$.

answered Jun 25 at 22:13

4 votes

Prime numbers $p$ such that $7p+1$ is a cube

answered Sep 7, 2023 at 15:51

4 votes

Accepted

Cubes as the sum of odd integers

answered Jul 18, 2020 at 1:04

4 votes

Accepted

The product of which 6 primes is 201-times larger than their sum?

answered Nov 12, 2020 at 3:47

4 votes

How many five-digit positive integers are there that are divisible by three?

answered May 2, 2022 at 18:21

4 votes

Accepted

Iterating sum of squares of decimal digits of an integer : how big can it grow?

answered Sep 26, 2019 at 18:52

4 votes

What is notable about the composite numbers between twin primes?

answered Dec 29, 2019 at 4:55

4 votes

does a number that contains all primes less than it exist?

answered Jun 24, 2019 at 2:17

4 votes

Prove that the product of any two numbers between two consecutive squares is never a perfect square

answered Feb 17, 2019 at 21:31

4 votes

Suppose $p$ and $p-2$ are both prime numbers where $p>5$. Prove $6$ divides $p-1$.

answered Jul 11, 2018 at 21:30

3 votes

Dealt 3 cards. Odds of being dealt any pair?

answered Mar 3, 2013 at 17:50

3 votes

Accepted

Let $m,n$ be positive integrars such that $\gcd(m,n) = 6$ find $\operatorname{lcm(}4m,21n)$?

answered Sep 15, 2018 at 20:45

3 votes

Accepted

Proof for General Properties of Pythagorean Triples

answered Oct 1, 2018 at 2:14

3 votes

A 3 digit number abc, $N=b(10c+b)$ where $b$ and $(10c+b)$ are primes.

answered Apr 18, 2019 at 21:29

3 votes

Is there a way to tell if two natural numbers are the legs of a Pythagorean triple (other than checking whether $a^2+b^2$ is a square)?

answered Dec 4, 2019 at 4:00

3 votes

Integral solution to an equation

answered Sep 19, 2019 at 18:18

3 votes

Given $z^2-1\mid x^2z^2-1$, prove $\frac{x^2z^2-1}{z^2-1}$ is never prime, for $x$, $z$ integers such that $x>z>1$.

answered Mar 23, 2022 at 21:13

Stack Exchange Network

318 Answers

Can any number of squares sum to a square?

How To solve This Perfect Square Word Problem

Show that there are infinitely many natural numbers such that $a^2+b^2=c^2+3 .$

Why does fermat little theorem work?

Find all positive integers $n$ such that $36^n - 6$ is the product of three consecutive naturals.

Proving true or false integral solution to equation $X^2-13Y^2 = 7$

What is the number of different sums of the items of a set of consecutive natural numbers?

Does digit $6$ always lead to $\ 25921=161^2\ $?

Does it follow from Gödel's theorem that this world cannot be fully described by math?

Are there any 2 primitive pythagorean triples who share a common leg?

$x$, $y$, $z$ are distinct non-zero digits such that $zyx+zyx+zyx=xxx$ (concatenation, not multiplication) ...

Show that we cannot have a prime triplet of the form $p$, $p + 2$, $p + 4$ for $p >3$

Why are even primes notable?

Find all the positive integer n and prime number p such that $n^3-p^5=p^6+3n-2$.

Prime numbers $p$ such that $7p+1$ is a cube

Cubes as the sum of odd integers

The product of which 6 primes is 201-times larger than their sum?

How many five-digit positive integers are there that are divisible by three?

Iterating sum of squares of decimal digits of an integer : how big can it grow?

What is notable about the composite numbers between twin primes?

does a number that contains all primes less than it exist?

Prove that the product of any two numbers between two consecutive squares is never a perfect square

Suppose $p$ and $p-2$ are both prime numbers where $p>5$. Prove $6$ divides $p-1$.

Dealt 3 cards. Odds of being dealt any pair?

Let $m,n$ be positive integrars such that $\gcd(m,n) = 6$ find $\operatorname{lcm(}4m,21n)$?

Proof for General Properties of Pythagorean Triples

A 3 digit number abc, $N=b(10c+b)$ where $b$ and $(10c+b)$ are primes.

Is there a way to tell if two natural numbers are the legs of a Pythagorean triple (other than checking whether $a^2+b^2$ is a square)?

Integral solution to an equation

Given $z^2-1\mid x^2z^2-1$, prove $\frac{x^2z^2-1}{z^2-1}$ is never prime, for $x$, $z$ integers such that $x>z>1$.