this post was submitted on 03 Jul 2023
42 points (95.7% liked)

Programmer Humor

28022 readers
1219 users here now

Welcome to Programmer Humor!

This is a place where you can post jokes, memes, humor, etc. related to programming!

For sharing awful code theres also Programming Horror.

Rules

founded 2 years ago
MODERATORS
Feyter@programming.dev
anzo@programming.dev
BurningTurtle@programming.dev
pylapp@programming.dev
42
It gets better the longer it runs (feddit.de)
submitted 2 years ago by SomeBoyo@feddit.de to c/programmer_humor@programming.dev
21 comments fedilink hide all child comments
 
you are viewing a single comment's thread
view the rest of the comments
[–] xthexder@programming.dev 5 points 2 years ago

A few calculations:

  • There are 9592 prime numbers less than 100,000. Assuming the test suite only tests numbers 1-99999, the accuracy should actually be only 90.408%, not 95.121%
  • The 1 trillionth prime number is 29,996,224,275,833. This would mean even the first 29 trillion primes would only get you to 96.667% accuracy.
  • The density of primes can be approximated using the Prime Number Theorem: 1/ln(x). Solving 99.9995 = 100 - 100 / ln(x) for x gives e^200000 or 7.88 × 10^86858. In other words, the universe will end before any current computer could check that many numbers.