The largest prime p less than 1000 such that e^(*sqrt(p)) differs from an integer by less than 0.0001. [Rupinski]
The first consecutive primes up to 719 will form a Smarandache-Wellin prime if concatenated in increasing order.
The number of rooted trees with 10 nodes and also the number of ways of arranging 9 nonoverlapping circles. [Beedassy]
The hour and second hands of an analog clock align exactly 719 times every twelve hours. [Rosulek]
A Balog cube is an n-by-n-by ... by-n array of primes, where each line of n primes parallel to any edge is an arithmetic progression. The largest prime in the smallest 3-by-3-by-3 cube is 719.
47 383 719 149 401 653 251 419 587 179 431 683 173 347 521 167 263 359 311 479 647 197 293 389 83 107 131
The largest 3-digit distinct-digit prime that remains prime if any of its digits is removed. [Loungrides]
719 West Cellars is part of a family-farmed winery in California.
(There is one curio for this number that has not yet been approved by an editor.)