Dear GregMat team,
I was redoing some gregmat questions and a stumbled upon this question (image):
In the solution, it is said that only 111 can be expressed as a product of two primes, since it can be written as 37*3.
However, I cannot understand why 333 and 999 do not satisfy that condition; they could be written like 373^2 and 37^3, respectively- hence using the same two primes. Is it because 37, 3, 3 are considered three primes, even though the 3’s are equal to each other and you are “only” using 37 and 3?
Thanks in advance!