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 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.
A few calculations:
1/ln(x)
. Solving99.9995 = 100 - 100 / ln(x)
for x givese^200000
or7.88 × 10^86858
. In other words, the universe will end before any current computer could check that many numbers.they did the math!