I bet there is a way to find the last prime............if they are not infinite........

As of January 2017 , the largest known prime number is 2^74,207,281 − 1, a number with 22,338,618 digits. It was found in 2016 by the Great Internet Mersenne Prime Search (GIMPS). Plot of the number of digits in largest known prime by year, since the electronic computer.

Largest known prime number - Wikipedia

https://en.wikipedia.org/wiki/Largest_known_prime_number

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The world's largest prime number has 22,338,618 digits. Here's why ...

www.slate.com/.../the_world_s_largest_prime_number_has_22_338_618_digits_here...

Jan 22, 2016 - Earlier this week, BBC News reported an important mathematical finding, sharing the news under the headline “Largest Known Prime Number ...

The Largest Known Primes - The Prime Pages

https://primes.utm.edu/largest.html

The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important ...

Largest known prime number - Wikipedia

https://en.wikipedia.org/wiki/Largest_known_prime_number

As of January 2017 , the largest known prime number is 2^74,207,281 − 1, a number with 22,338,618digits. It was found in 2016 by the Great Internet Mersenne Prime Search (GIMPS). Plot of the number of digits in largest known prime by year, since the electronic computer.