The book is now available! 210
(another Prime Pages' Curiosity)
Prime Curios!
Curios: Curios Search:
 

Participate:
Share
+ The primes 47, 257, 467, 677, 887, 1097 and 1307 constitute a progression of 7 terms with a common difference of 210. [Barrow , Bush and Taylor]

+ 210 is the smallest number with 4 distinct prime divisors.

+ The largest single-digit primorial value, 7# = 2 * 3 * 5 * 7 = 210. [Nicholson]

+ It has been estimated that 210 becomes a "jumping champion" at around 10^425.

+ (21, 20, 29) and (35, 12, 37) are the two least primitive Pythagorean triangles with different hypotenuses and the same area (=210). [Sierpinski]

+ The number of distinct representations of a number n as the sum of two primes is at most the number of primes in the interval [n/2, n-2], and 210 is the largest value of n for which this upper bound is attained. In other words, 210 is the largest positive integer n that can be written as the sum of two primes in pi(n - 2) - pi(n/2 - 1) distinct ways. Reference: An upper bound in Goldbach's problem. [Capelle]

(There is one curio for this number that has not yet been approved by an editor.)




Prime Curios! © 2000-2017 (all rights reserved)