A075370 Smallest squarefree number > 1 such that the every partial sum is squarefree.

2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 5, 2, 2, 2, 2, 2, 5, 3, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 5, 3, 2, 2, 2, 2, 2, 3, 5, 6, 2, 2, 5, 3, 2, 2, 6, 3, 3, 2, 2, 2, 2, 2, 3, 3, 5, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 5, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 5, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2