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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 (n - 2) - (n/2 - 1) distinct ways.
Reference: An
upper bound in Goldbach's problem. [Capelle]
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