719 (another Prime Pages' Curiosity)
 Curios: Curios Search:   Participate: The largest prime p less than 1000 such that e^(*sqrt(p)) differs from an integer by less than 0.0001. [Rupinski] A number that can be expressed as both a factorial prime (6! - 1) and as an abundant number less one. [Patterson] The first consecutive primes up to 719 will form a Smarandache-Wellin prime if concatenated in increasing order. The smallest factorial prime of the form n!-1 such that n-1 is a factorial prime of the same form. [Capelle] 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 ``` [Granville] The number of days that have elapsed between the discovery of the 44th and 45th Mersenne primes. [Vrba] The largest odd highly-imperfect number, which sets a record for the value of |sigma(n)-2n|, is a(79) = 719. Both 79 and 719 are prime. [Post] The largest 3-digit distinct-digit prime that remains prime if any of its digits is removed. [Loungrides] The first 719 positive values of n are composite for n^4 + 179. [Homewood] The prime number 719 can be written as the sum of terms k!k for k = 1, ... ,5 with k an integer. [Sandri] The sum of the first 13670 prime numbers is the reverse cube 959496173 = reversal of 719^3. [Gaydos] 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.) Prime Curios! © 2000-2018 (all rights reserved)  privacy statement