The great mathematician Countalot discovered the
Incredible numbers; he does not know yet if they are finite or
infinite, but he made the following conjecture:
If they are infinite, then at least one of them has 8 distinct
prime factors.
One of his students, Countagain, showed that Countalot's
conjecture is false. Therefore he proved that:
A. if Incredible numbers are finite, then none of them has 8
distinct prime factors
B. if Incredible numbers are finite, then all of them have 8 distinct
prime factors
C. Incredible numbers are infinite
D. Incredible numbers are infinite and none of them has 8 distinct
prime factors
E. Incredible numbers are infinite and all of them have 8 distinct
prime factors