Quote:
Originally Posted by MathDoggy
It is impossible because we constructed an arbitrary number Q which is the product of the finite list of the twin primes and adding 1 to the product

2×3×5×7×11×13+1 = 59×509
And if 2 isn't a twin prime then 3×5+1 = 2×2×2×2
Either way there are always possible divisors that aren't in the original set of primes you multiplied together.