# Number of primes below a given number

**URL:** <https://discourse.julialang.org/t/number-of-primes-below-a-given-number/58709>\
**Category:** Numerics\
**Tags:** question\
**Created:** [April 6, 2021, 6:36pm UTC](https://discourse.julialang.org/t/number-of-primes-below-a-given-number/58709 "2021-04-06T18:36:30Z")\
**Posts on this page:** 1\
**Showing post:** 35

<div class="post-metadata">

**Author:** ![miguelraz](https://sea2.discourse-cdn.com/julialang/user_avatar/discourse.julialang.org/miguelraz/32/631_2.png) [@miguelraz](https://discourse.julialang.org/u/miguelraz)\
**Post date:** [April 7, 2021, 5:07pm UTC](https://discourse.julialang.org/t/number-of-primes-below-a-given-number/58709/35 "2021-04-07T17:07:47Z")

</div>

Thanks to @giordano , we have AVX2 speedups from the most recent build 💪

```julia
julia> using primecount_jll

julia> @time run(`$(primecount()) 1e8`);
5761455
  0.011614 seconds (467 allocations: 33.562 KiB)

julia> @time run(`$(primecount()) 1e14`);
3204941750802
  0.181341 seconds (467 allocations: 33.562 KiB)

julia> versioninfo()
Julia Version 1.6.0
Commit f9720dc2eb (2021-03-24 12:55 UTC)
Platform Info:
  OS: Linux (x86_64-pc-linux-gnu)
  CPU: Intel(R) Core(TM) i7-4710HQ CPU @ 2.50GHz
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-11.0.1 (ORCJIT, haswell)

(@v1.6) pkg> st primecount_jll
      Status `~/.julia/environments/v1.6/Project.toml`
  [ba3b429d] primecount_jll v6.5.0+0

```

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