1693182318746371

This number is a prime.

The smallest number that is followed by at least one thousand consecutive composites. It is the first prime gap of more than 1000 composites (actually 1131) and was discovered by a Swedish nuclear physicist (Dr. Bertil Nyman).

The largest known prime(n), such that (prime(n+1)/prime(n))^n > n. [Nicholson]

1693182318746371 is the prime p with the largest known value of g/(ln(p)^2), where p>7 and g is the gap to the next prime after p. The ratio is 1132/(ln(1693182318746371)^2)=0.9206. [Jacobs]