603, 604, and 605 are the first 3 consecutive integers that are the product of a prime and another prime squared.

603=3^{2}*67

604=2^{2}*151

605=5*11^{2}

1. What is the first set of 4 consecutive integers that are the product of a prime and another prime squared?

2. What is the first set of 5 consecutive integers that are the product of a prime and another prime squared?

(In reply to

re: computer so far by Charlie)

Charlie:

It might be useful to list the first dozen (or so) triples. If any of them start with an even number, then your suggested proof will not work. If none of them start with an even number, then your suggested proof might work.