#gimps

What is the largest consecutive prime number?  I mean, what is the largest prime for which we know whether all the numbers less than it are prime or not?  The largest known primes is 2^82589933 -1, which is 24,862,048 digits long.  The second largest known prime is 2^77232917 -1, which is 23,249,425 million digits long.  That means they’re 1,612,623 orders of magnitude apart, which is an unfathomably large gap; a million billion trillion quadrillions is only 46 orders of magnitude.  The number of particles in the observable universe is only around 80 orders of magnitude.  There are countless primes between these two that we just haven’t discovered yet, so what’s the highest number that we’ve discovered all the primes up to?