The answer to "why" is: It's not. 307, 311, and 313 are prime numbers, and there are
an infinite number more that are bigger than those.
If your question was intended to be "What is the largest . . .", then the answer to that is 293 .
293
Actually the largest prime # is larger than 300 because 301 is prime
It is: 299 which has more than 2 factors
293
271, 277, 281, 283, 293
312, 325 or 338
the number is 350 the factors is 175 and 2
Neither 170 nor 190 have twin prime factors.
325
312, 325 and 338 are multiples of 13.
300 is not prime because it has factors that go into it evenly other than 1 and itself. 300's factors include: 1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150, and 300.
K is a set of five consecutive prime numbers such that the sum of all the elements in K is greater than 200 and less than 300. Which of the following cannot be the sum of the elements in the set K?