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13945Re: [PrimeNumbers] Infinite primes-> a Turing Machine prime sieve that never stops?

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  • Jud McCranie
    Nov 3, 2003
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      At 10:37 PM 11/3/2003, Nathan Russell wrote:

      >Equally, there are infinitely many integers, or even numbers, but there is
      >no one infinite integer

      Yes, and there is another thing which sometimes causes confusion, which
      might be at work here. That is the difference between something being
      "unbounded" and it being "infinite". The size of integers/primes is
      unbounded but that doesn't mean that the size can be infinite. Every
      particular integer/prime is finite. There are an infinite number of them.
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