Is there any way to find prime number upto 10^9 or more in 1 second?
Is there any way to find prime number upto 10^9 or more in 1 second?
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Yes. It can be easily using Meisell-Lehmer algorithm to calculate the numbers of prime up to n in O(n^{2/3}).
or you can see F.Four Divisors.
I don't know much about this algorithm. Can you make a tutorial about it please ?
Yeap. Lehmer_algorithm or Efficient Prime Counting with the Meissel-Lehmer Algorithm
Updated blog link ( previous one doesn't work ) :
Efficient prime counting with the Meissel-Lehmer algorithm
If you want to enumerate all the primes upto 10^9 in 1 second, Segment Sieve of Eratosthenes plus Wheel Factorization will help a lot.
An example using primes 2, 3, 5, 7, 11, 13, code
How about using
Bitwise Segment Sieve of Eratosthenes. Is it better than that ?what about for 10^18?
https://mirror.codeforces.com/blog/entry/22317
Thanks a lot for giving link of this blog.