Question

Does the product of two neighbouring primes hold a special property apart from always being semi-prime?

score 71 · Answer 1 · 2017-10-02 04:47:34

71

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Does the product of two neighbouring primes hold a special property apart from always being semi-prime?

Published on 02 Oct 2017 - 4:47

score 242 · Answer 2 · 2017-10-24 21:36:53

242

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Descartes number

Published on 24 Oct 2017 - 21:36

score 235 · Answer 3 · 2017-10-27 00:19:11

235

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Conjecture: $a^3 + b^3 + c^3 = p^3 \Rightarrow x^3 + y^3 + z^3 = \big(\frac{a + b + c}{2}\big)^3$

Published on 27 Oct 2017 - 0:19

score 382 · Answer 4 · 2026-03-26 01:17:58

382

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Can you prove or disprove the following list of my conjectures?

Published on 26 Mar 2026 - 1:17

score 80 · Answer 5 · 2017-12-12 00:45:37

80

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Confirmation of Proof: If $p$ is a perfect number, then $1 + 8p$ is a squared number.

Published on 12 Dec 2017 - 0:45

score 983 · Answer 6 · 2017-12-23 23:44:17

983

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What Are The Practical Applications Of Perfect Numbers?

Published on 23 Dec 2017 - 23:44

score 42 · Answer 7 · 2026-03-26 09:41:54

42

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A simple representation that satisfies every even perfect number: products over the squarefree parts of its divisors

Published on 26 Mar 2026 - 9:41

score 135 · Answer 8 · 2018-01-02 09:58:01

135

Views

Is it true that every odd perfect number can be written in the form $\frac{r\sigma(r)}{2r - \sigma(r)}$?

Published on 02 Jan 2018 - 9:58

score 59 · Answer 9 · 2018-01-03 11:10:06

59

Views

A conjecture for an inequality for every odd number.

Published on 03 Jan 2018 - 11:10

score 1k · Answer 10 · 2026-02-23 08:43:04

1k

Views

How to show that all even perfect numbers are obtained via Mersenne primes?

Published on 23 Feb 2026 - 8:43

score 2.1k · Answer 11 · 2010-09-25 16:53:58

2.1k

Views

Perfect numbers, the pattern continues

Published on 25 Sep 2010 - 16:53

score 1.6k · Answer 12 · 2012-02-18 01:24:55

1.6k

Views

Proving that a number is perfect iff the sum of the reciprocal of its divisors is $1$

Published on 18 Feb 2012 - 1:24

score 1.8k · Answer 13 · 2012-03-15 07:30:01

1.8k

Views

What is the computational complexity of a brute force perfect numbers finder algorithm?

Published on 15 Mar 2012 - 7:30

score 3.9k · Answer 14 · 2012-07-09 04:28:06

3.9k

Views

A problem dealing with even perfect numbers.

Published on 09 Jul 2012 - 4:28

score 1.3k · Answer 15 · 2012-11-14 02:24:16

1.3k

Views

Can an odd perfect number be divisible by $105$?

Published on 14 Nov 2012 - 2:24

List Question

Does the product of two neighbouring primes hold a special property apart from always being semi-prime?

Descartes number

Conjecture: $a^3 + b^3 + c^3 = p^3 \Rightarrow x^3 + y^3 + z^3 = \big(\frac{a + b + c}{2}\big)^3$

Can you prove or disprove the following list of my conjectures?

Confirmation of Proof: If $p$ is a perfect number, then $1 + 8p$ is a squared number.

What Are The Practical Applications Of Perfect Numbers?

A simple representation that satisfies every even perfect number: products over the squarefree parts of its divisors

Is it true that every odd perfect number can be written in the form $\frac{r\sigma(r)}{2r - \sigma(r)}$?

A conjecture for an inequality for every odd number.

How to show that all even perfect numbers are obtained via Mersenne primes?

Perfect numbers, the pattern continues

Proving that a number is perfect iff the sum of the reciprocal of its divisors is $1$

What is the computational complexity of a brute force perfect numbers finder algorithm?

A problem dealing with even perfect numbers.

Can an odd perfect number be divisible by $105$?

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