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Prime numbers
03-25-2016, 07:29 PM
Post: #14
RE: Prime numbers
(03-25-2016 12:24 PM)emece67 Wrote:  
(03-24-2016 11:59 AM)Tugdual Wrote:  Regarding the original topic, I believe that considering digits is never a good idea. Digits are just the letters in a certain base that form words to represent a number. The number as a whole means something while the first digit (base 10) is the number modulo 10.
To go further, let's consider the prime numbers expressed in base 2. First digit would always be 1 otherwise it would be an even number, hence not prime. OMG 100% of the prime numbers start with a 1!! Shall we conclude anything? Obviously no, so studying the digits of a number seem pointless to me.
Always intersted to get your feedback.

Not related with primes but surprisingly (at least to me) there exist formulas to compute the \(n^{th}\) digit of \(\pi\) in isolation, not needing to compute the previous \(n-1\) digits. Such formulas work in base 16, so in some cases, studying the digits in certain bases can give really interesting results and, of course, insight.

Regards.

Yes that is the formula of Mr Plouffe. I read he failed to find a decimal version. I agree with you this is quite fascinating.
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Messages In This Thread
Prime numbers - Tugdual - 03-22-2016, 07:49 PM
RE: Prime numbers - Valentin Albillo - 03-23-2016, 10:46 PM
RE: Prime numbers - Massimo Gnerucci - 03-23-2016, 11:17 PM
RE: Prime numbers - Valentin Albillo - 03-24-2016, 07:17 PM
RE: Prime numbers - Vtile - 03-23-2016, 11:51 PM
RE: Prime numbers - brouhaha - 03-24-2016, 07:15 AM
RE: Prime numbers - Paul Dale - 03-24-2016, 08:07 AM
RE: Prime numbers - Tugdual - 03-24-2016, 11:59 AM
RE: Prime numbers - Don Shepherd - 03-24-2016, 01:23 PM
RE: Prime numbers - Tugdual - 03-24-2016, 07:51 PM
RE: Prime numbers - emece67 - 03-25-2016, 12:24 PM
RE: Prime numbers - Tugdual - 03-25-2016 07:29 PM
RE: Prime numbers - Claudio L. - 03-25-2016, 12:41 PM
RE: Prime numbers - Didier Lachieze - 03-25-2016, 01:07 PM



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