Are Prime Numbers More Than Just Random Numbers? A Look at Du Sautoy's Theories

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Du Sautoy suggests that some superdigit primes exhibit unique properties and may follow a special underlying pattern, challenging the notion of primes as random. The discussion highlights that while the difference between consecutive squares yields odd numbers, not all odd numbers are prime, and the only even prime is 2. Participants debate the existence of primes and their characteristics, questioning the validity of du Sautoy's claims. There is confusion about the specific book referenced, with some participants unsure if it is "Music of the Primes." The conversation ultimately seeks to explore potential patterns in prime numbers beyond their apparent randomness.
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A man called du Sautoy proclaimed in a book that some superdigit primes are unique, hard to calculate and probably have some sort of special underlying pattern. All I can tell is that a prime is the difference between two consecutive squares. What have YOU come up with?
 
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The differences between consecutive squares are the odd numbers. Not ever odd number is prime, and not every prime is an odd number, so what are you getting at?
 
matt grime said:
...Not ever odd number is prime, and not every prime is an odd number, so what are you getting at?

Is there such prime number that is not odd?
 
Yes. It is less than three, but greater than one.
 
is it 1.3?
 
or how bout 1.1?
 
I'd have to say JonF is closer.

needhalp : all evens >2 are divisible by 2, hence, non-prime.

Semantics : You must be talking of du Sautoy from Oxford. And you must be referring to 'Music of the Primes' but surely you can't have read the book and end up asking a question like this. Where did you find this claim ?
 
Nothing. I'm just saying if prime numbers were not random numbers, if there was a pattern or the like, what would it be? But I needed a base to have reason to begin this string, and when I saw this guys book, I saw he was addressing the issue. But I'm not sure that book was Music of the Primes.
 
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