Register to reply 
Counting function for powers of primesby robnybod
Tags: prime counting 
Share this thread: 
#1
Feb1512, 01:56 PM

P: 3

removed



#2
Feb1512, 03:42 PM

P: 84

at this point it is more important for you to show that your method works. I suggest you write a program and test your method using the formulas you posted. If the test works for large numbers, then you have something serious. By the way, this problem is an open problem in number theory so you may just have come up with a solution.



#3
Feb1512, 05:11 PM

P: 144

"Method" is correct and works, in the sense that it will give correct numbers in general. Unfortunately you will not be able to condense your expressions significantly. You would then, among other things, likely need a formula for the nth prime, and btw the exact same set up of inclusion/exclusion and floors can be used to express the prime counting function, for which there is very likely no short and elementary formula.



#4
Feb1512, 05:37 PM

P: 94

Counting function for powers of primes
Sorry to see you remove this. Was Interesting.



Register to reply 
Related Discussions  
Difference in Powers of Odd Primes  Linear & Abstract Algebra  3  
Question about shifting the indexes [nth powers] and counting numbers of series?  Calculus & Beyond Homework  3  
Primes and their powers  Calculus & Beyond Homework  1  
Divisibility of powers of primes  Linear & Abstract Algebra  5  
The sum over primes involving powers of 10  Linear & Abstract Algebra  2 