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
Half A proof by Steve Herman)
4 in a row is possible, but the numbers are very big. The solution is quicker to find if you test numbers of the form 2*p^2 for primes p.

Posted by Math Man
on 20170402 16:48:17 