My tool uses the Miller-Rabin primality test with prime bases drawn from https://oeis.org/A014233 to determine whether a number is prime. This allows it to handle numbers up to 3317044064679887385961980.
For example, https://susam.net/primegrid.html#3317044064679887385961781-2... shows the upper limit of the numbers this tool can check. The three circles displayed there represent the following prime numbers:
3317044064679887385961783
3317044064679887385961801
3317044064679887385961813
I hope this is fun for you too!Growing up I loved math's logic puzzle elements, but it got tough when presentation of the subject became more abstract in late high school and college. Visualization tools like this would have gone a long way toward making the concepts concrete and keeping me curious about the relationships behind the symbols.
edit: links