## Welcome to BrainDen.com - Brain Teasers Forum

 Welcome to BrainDen.com - Brain Teasers Forum. Like most online communities you must register to post in our community, but don't worry this is a simple free process. To be a part of BrainDen Forums you may create a new account or sign in if you already have an account. As a member you could start new topics, reply to others, subscribe to topics/forums to get automatic updates, get your own profile and make new friends. Of course, you can also enjoy our collection of amazing optical illusions and cool math games. If you like our site, you may support us by simply clicking Google "+1" or Facebook "Like" buttons at the top. If you have a website, we would appreciate a little link to BrainDen. Thanks and enjoy the Den :-)
Guest Message by DevFuse

# beauty and the beast

2 replies to this topic

### #1 phil1882

phil1882

Senior Member

• Members
• 550 posts

Posted 12 August 2013 - 05:23 AM

consider the golden ratio.

1.618....

now, imagine multiplying this by each integer. keep the numbers it truncates to.

1

1.618*2 = 3

1.618*3 = 4

1.618*4 = 6

1.618*5 = 8

1.618*6 = 9

and so on.

its a very interesting sequence with some "nice" properties.

now here's my question. if you're allowed any irrational number;

which one goes through the most primes and fewest composites?

• 0

### #2 DeGe

DeGe

• Members
• 128 posts
• Gender:Male
• Location:Paris

Posted 12 August 2013 - 01:30 PM

Spoiler for I think

• 0

### #3 Anza Power

Anza Power

Junior Member

• Members
• 80 posts

Posted 13 August 2013 - 07:34 PM

^ 5.999999... (continue forever) is actually 6.

And if it doesn't continue forever then at some point you will get 6n-2...
• 0

#### 0 user(s) are reading this topic

0 members, 0 guests, 0 anonymous users