|
|
"Quantum Ranger" <paul.valletta@xxxxxxxxxxxx> wrote in message
news:1167563737.778158.29970@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
>
> Proginoskes wrote:
>> Quantum Ranger wrote:
>> > What is the probability of there being Two consecutive Prime Numbers in
>> > existence?
>>
>> One, since 2 and 3 are primes and consecutive.
>>
>> Now you need to answer a question for me: Are there infinitely many
>> Twin Primes?
>>
>> You can take your time.
>>
>> --- Christopher Heckman
>
> Thanks for the interesting answer.
>
> Is this:"One, since 2 and 3 are primes and consecutive."
> just a curious fact of their proximity, at the start of the number
> system?
No, every consecutive pair of numbers (n,n+1) contains an odd and an even
number. Every even number is divisible by 2. The only even number which is
prime is 2.
Therefore any other such pair must contain an even number which is
non-prime.
Nick
|
|