Re: Percentage of Prime Numbers

Hi,

I just checked my 10-€-Banknote and found out the
serial number is a
prime number. I just asked the European Central Bank
how many
Banknotes circulate and want now to find out the
chance that a
randomly picked banknote has a prime serial number.
So - is there any
possibility (without crashing my PC) to find out how
many prime
numbers are in a given area of numbers?

Thanks a lot!

An intriguing and interesting question. The prime
number theorem, described here:

http://en.wikipedia.org/wiki/Prime_number_theorem

will tell you the percentage of primes below a given
number. I have no idea, however, how the Central
Bank assigns serial numbers.

Tom
.

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