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Complexity of this prime number search algorithm

Check for Pi(n) function. It's approximation is n/ln(n).
Overall algorithm (a kind of Sieve of Eratosthenes implementation) complexity is evaluated as O(n(loglog(n))

Categories : Algorithm

Related to : Complexity of this prime number search algorithm
Complexity of a basic algorithm?
When determining complexities, we don't include constants or coefficients. Instead of O(2N + 2), it should be O(n). We only care about numbers if they're exponential, i.e. 2^n or n^2, log2(n), etc. Putting that aside, are you sure this is O(n)? O(n) would mean that it runs n times, but it looks like j is going to catch up to n before n times. See what I'm saying? EDIT: Ok, here's what's going o

Categories : Java
What is the time complexity for AngularJS's dirty checking algorithm?
The dirty checking happens in the $diggest cycle, so we need to study the complexity of the $diggest cycle. The $diggest cycle is the stage in which Angular ensures the changes of the model have settled, so that it can render the view with the updated changes. In order to do that, Angular starts a loop in which each iteration evaluates all the template expressions of the view, as well as the $wat

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Prime Number Theorem Python
My suggestion of how to do this (in relation to your current code) is as follows: previous = 2 n = 0 for i in range(3,10000000): if Is_Prime(i): n = n+1 current = i gn = current - previous previous = i if n % 1000 == 0: print "Now at the gap between prime",n,"and prime",n+1 average_gap = (i-2)/float(n); # (n+1)st pri

Categories : Python
Use 2 Threads to calculate the nth prime number in Python
This is the answer I have currently, import threading, doctest, cProfile, time, random result = [2] counter = 1 def get_int(num): for i in range(3, num): yield i def is_prime(num): for j in range(2,int(num)): if (num % j) == 0: return False result.append(num) return True def prime_calculator(nth): lock = threading.Lock() global result, count

Categories : Python
How to determine if a number is a prime in a faster fashion using additional threads?
I'm going to ignore whether you've got the most efficient approach and focus on how your current code could be faster with more threads. You currently iterate through all the numbers from 2 -> x and perform a simple test. A way to improve performance might be to split this task into Z chunks and start Z threads to perform the tests in parallel. E.g. if you had two threads, you would have one

Categories : Java
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