User Keith Backman

7 votes

1 answer

362 views

Occurence of numbers not divisible by primes

asked Mar 14, 2014 at 20:25

7 votes

1 answer

377 views

Closed form for totient related product

asked Apr 25, 2019 at 2:19

6 votes

0 answers

301 views

A horrendous sieve with potentially terrific consequences

asked Jun 17, 2019 at 19:05

6 votes

1 answer

247 views

Euler's totient function applied to higher power triples

asked Sep 20, 2018 at 19:20

6 votes

1 answer

2k views

How many ways can a number $n>2$ be expressed as the difference of two squares?

asked Sep 28, 2018 at 21:16

5 votes

3 answers

175 views

When is $x^2+9y^2 \pm y$ a perfect square

asked Nov 24, 2023 at 17:23

4 votes

1 answer

107 views

Superior limit of sum of iterates of $\phi (n)$

asked Jul 15, 2022 at 3:04

4 votes

0 answers

61 views

The phenomenon of 'reach' in sieves with regard to prime numbers

asked Aug 1, 2020 at 16:49

4 votes

2 answers

252 views

Is there an algorithm for finding squares with a given difference?

asked Feb 28, 2013 at 22:13

4 votes

2 answers

634 views

A slightly stronger version of the Goldbach conjecture?

asked Apr 23, 2012 at 17:30

4 votes

0 answers

747 views

A different approach to the strong Goldbach conjecture?

asked Apr 24, 2012 at 18:19

4 votes

1 answer

187 views

More on Goldbach

asked Feb 27, 2013 at 19:27

4 votes

2 answers

290 views

A conjecture about primorials

asked Jul 9, 2019 at 17:55

4 votes

0 answers

127 views

The sign of $\left(\frac{p-1}{2}\right)! \equiv \pm1 \bmod p$ when $p=4k+3$

asked Feb 11, 2020 at 19:26

3 votes

0 answers

47 views

Another question about numbers of the form $p_i\#+p_{n+1}$

asked Aug 14, 2019 at 16:05

3 votes

0 answers

27 views

Primes of the form $\frac{p_m\#}{2} \pm 2^j$

asked Nov 22, 2019 at 18:14

3 votes

4 answers

190 views

When are numbers of the form $m^2+9k^2\pm k$ perfect squares?

asked May 10, 2019 at 20:09

3 votes

3 answers

512 views

Reformulating the Goldbach conjecture in a quasi-Pythagorean form

asked Feb 28, 2013 at 19:49

3 votes

0 answers

258 views

Is there any algorithm to identify the smallest example of gap size $n-1$ between consecutive prime numbers

asked Jul 27, 2018 at 19:17

3 votes

2 answers

670 views

A sieve for twin primes; does it imply there are infinite many twin primes?

asked Aug 7, 2018 at 21:40

3 votes

2 answers

602 views

A twin prime theorem, and a reformulation of the twin prime conjecture

asked Aug 8, 2018 at 18:14

3 votes

0 answers

57 views

Existence of prime numbers in the interval $[n^2,(n+\alpha)^2]$

asked Mar 29, 2020 at 20:10

3 votes

2 answers

170 views

Is the expected number of primes in a specific interval $[p_n^2,p_{n+1}^2]$ approximately $p_n$?

asked Apr 15, 2020 at 17:29

3 votes

0 answers

64 views

Consecutive numbers removed by a sieve

asked May 24, 2021 at 17:57

3 votes

3 answers

580 views

Finding positive integer solutions to $a!+5^b=7^c$

asked Oct 15, 2021 at 16:51

2 votes

0 answers

16 views

Positional separation of additive inverses in specifically ordered sets

asked Nov 29, 2021 at 20:28

2 votes

0 answers

46 views

Maximum number of distinct primes in a defined product

asked May 7, 2022 at 2:55

2 votes

2 answers

193 views

Can the sum of squares of odd primes equal the square of an odd prime?

asked Aug 16, 2023 at 22:09

2 votes

0 answers

26 views

Concerning the number of members of a primitive residue class $\bmod n$ which are their own multiplicative inverses

asked Mar 4, 2021 at 20:50

2 votes

0 answers

45 views

Defined intervals conjectured to contain at least one pair of twin primes

asked Apr 20, 2020 at 20:36

Stack Exchange Network

72 Questions

Occurence of numbers not divisible by primes

Closed form for totient related product

A horrendous sieve with potentially terrific consequences

Euler's totient function applied to higher power triples

How many ways can a number $n>2$ be expressed as the difference of two squares?

When is $x^2+9y^2 \pm y$ a perfect square

Superior limit of sum of iterates of $\phi (n)$

The phenomenon of 'reach' in sieves with regard to prime numbers

Is there an algorithm for finding squares with a given difference?

A slightly stronger version of the Goldbach conjecture?

A different approach to the strong Goldbach conjecture?

More on Goldbach

A conjecture about primorials

The sign of $\left(\frac{p-1}{2}\right)! \equiv \pm1 \bmod p$ when $p=4k+3$

Another question about numbers of the form $p_i\#+p_{n+1}$

Primes of the form $\frac{p_m\#}{2} \pm 2^j$

When are numbers of the form $m^2+9k^2\pm k$ perfect squares?

Reformulating the Goldbach conjecture in a quasi-Pythagorean form

Is there any algorithm to identify the smallest example of gap size $n-1$ between consecutive prime numbers

A sieve for twin primes; does it imply there are infinite many twin primes?

A twin prime theorem, and a reformulation of the twin prime conjecture

Existence of prime numbers in the interval $[n^2,(n+\alpha)^2]$

Is the expected number of primes in a specific interval $[p_n^2,p_{n+1}^2]$ approximately $p_n$?

Consecutive numbers removed by a sieve

Finding positive integer solutions to $a!+5^b=7^c$

Positional separation of additive inverses in specifically ordered sets

Maximum number of distinct primes in a defined product

Can the sum of squares of odd primes equal the square of an odd prime?

Concerning the number of members of a primitive residue class $\bmod n$ which are their own multiplicative inverses

Defined intervals conjectured to contain at least one pair of twin primes