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Is it true that any rule regarding prime numbers eventually fails? 
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#1
Oct2713, 10:58 AM

P: 85

Other than the fact that prime numbers are infinite?



#2
Oct2713, 11:00 AM

P: 2,938

By rule, you mean one that predicts primes then yes they all fail.



#3
Oct2713, 11:02 AM

P: 85




#4
Oct2713, 12:01 PM

P: 160

Is it true that any rule regarding prime numbers eventually fails?
No, it is not true. How could it be?
This page has many examples of formulas that generate all the primes (and only the primes). 


#5
Oct2713, 12:08 PM

P: 85




#6
Oct2713, 12:15 PM

P: 160

I don't quite understand your question  are you asking for something like a formula that takes a number as input, and returns 1 if it is prime and 0 if it is nonprime?
If so, take a look at Wilson's Theorem (or at the first formula on the page I just linked to). 


#7
Oct2713, 12:37 PM

P: 85




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