## Sunday, October 19, 2014

### Writing Pi with Prime Numbers

3.14159265358979323846264338327950288419716939937510…
Well, the first digit is 3 – that’s prime.
3.14159265358979323846264338327950288419716939937510…
1 is not prime, 14 is not prime, 141 is not prime, 1415 is not prime, but 14159 is prime.
3.14159265358979323846264338327950288419716939937510…
2 is prime.
3.14159265358979323846264338327950288419716939937510…
6 is not prime, 65 is not prime, but 653 is prime.
3.14159265358979323846264338327950288419716939937510…
5 is prime.
3.14159265358979323846264338327950288419716939937510…
8 is not prime, but 89 is prime.
3.14159265358979323846264338327950288419716939937510…
7 is prime.
3.14159265358979323846264338327950288419716939937510…
9 is not prime, 93 is not prime, 932 is not prime, but 9323 is prime.
3.14159265358979323846264338327950288419716939937510…
So far, so good.  8 is not prime, 84 is not prime, 8462 is not prime,…
The next prime is 3048 digits long.
I think the methodology is fine - difficult but I think it will work.  The problem is that pi is a non-repeating and unending decimal, and we do not have a decimal expansion of pi that is infinitely long.  We have only been able to establish the correct decimal expansion of pi for a finite length.
REFERENCE:
David