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
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.
312, 325 and 338 are multiples of 13.
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?