## Prime mumber distribution ......

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Moonbeam
Posts: 292
Joined: Sat Dec 08, 2007 5:28 pm UTC
Location: UK

### Prime mumber distribution ......

Someone asked this on another site and it hasn't been proved/disproved yet .... so I thought I'd post it here and see how you lot get on:

There appears to always be an even total of prime numbers between the powers of 4, viz:

Between 1 and 4 .... 2 primes
Between 4 and 16 .... 4 primes
Between 16 and 64 .... 12 primes
Between 64 and 256 .... 36 primes
Between 256 and 1024 .... 118 primes
Between 1024 and 4096 .... 392 primes
Between 4096 and 16384 .... 1336 primes

Can anyone shed any light as to if this holds for higher powers and can you prove it (or disprove it).
I'm just wondering if there's a simple reasoning for this; but I very much doubt it.

Sizik
Posts: 1226
Joined: Wed Aug 27, 2008 3:48 am UTC

### Re: Prime mumber distribution ......

gmalivuk wrote:
King Author wrote:If space (rather, distance) is an illusion, it'd be possible for one meta-me to experience both body's sensory inputs.
Yes. And if wishes were horses, wishing wells would fill up very quickly with drowned horses.

Moonbeam
Posts: 292
Joined: Sat Dec 08, 2007 5:28 pm UTC
Location: UK

### Re: Prime mumber distribution ......

Sizik wrote:Nope

Well, that clears that up then - thanks