- #1

- 3,106

- 4

[Think of deconstructing a square of integral area n

^{2}into composite rectangles of diverging (n-1)(n+1), (n-2)(n+2), (n-3)(n+3)... .]

This reasoning may work to a lesser yet significant degree with powers greater than two.

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter Loren Booda
- Start date

- #1

- 3,106

- 4

[Think of deconstructing a square of integral area n

This reasoning may work to a lesser yet significant degree with powers greater than two.

- #2

Hurkyl

Staff Emeritus

Science Advisor

Gold Member

- 14,950

- 19

Unless you stick to very small numbers, I can see no reason why the answer to your question would be "yes". What would suggest it?

I can't make any sense out of the rest of your post. I mean that literally: not a judgement of right or wrong, but as a judgement of whether or not I can extract meaning from that sequence of words and symbols.

- #3

- 3,106

- 4

Thank you for being understanding, Hurkyl. Mine is a half-baked idea.

- #4

CRGreathouse

Science Advisor

Homework Helper

- 2,824

- 0

Is the density of primes considerably greater nearer the geometric average of two consecutive square numbers?

How near?

I'm almost sure this isn't true unless taken to the trivial extreme that n(n+1) is itself composite for n > 1.

- #5

- 3,106

- 4

CR,

I appreciate your input. I should look before I lemma.

I appreciate your input. I should look before I lemma.

- #6

CRGreathouse

Science Advisor

Homework Helper

- 2,824

- 0

Loren: I didn't see your other post (#3) before I posted -- sorry. I wouldn't have posted otherwise.

Share: