A positive integer is interesting if it is a product of two (not necessarily distinct) primes. What is the greatest number of consecutive positive integers all of which are interesting?
Hint: The consecutive series of positive integers should be numbers that have divisors, e.g. 9 and 10 are consecutive, where 9 = 3 * 3 and 10 = 2 * 5.
Wait... Never mind, my hint is wrong, sorry.
There are many, many of them such as:
33 = 3 * 11 34 = 2 * 17 35 = 5 * 7 85 = 5 * 17 86 = 2 * 43 87 = 3 * 29 93 = 3 * 31 94 = 2 * 47 95 = 5 *19
