We have a rope with a prime unit length, and we need to divide this rope into $9$ ropes by cutting it with prime and/or 1 unit lengths. After cutting the rope, you are supposed to find any kind of unit length (1,2,3,4...) until the original prime unit length by combining these ropes together.
So what is the longest prime length rope you can have with the conditions above?
Note that 1 is a must to find all numbers until the original length so it is allowed to be used.
If this question was asked for 3 rope pieces, the answer would be $5$ with 1,1,3 or 1,2,2 rope length pieces since these are the only possible solutions by using primes and 1.