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#1 phil1882

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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?

 


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#2 DeGe

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Posted 12 August 2013 - 01:30 PM

Spoiler for I think

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#3 Anza Power

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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...
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