RAT RUN 1: Primer

Normal 6x6 sudoku rules apply.

AIM OF EXPERIMENT: Finkz the rat must reach the cupcake by finding a path through the maze. The path will be a snaking line that passes through the centres of cells, without visiting any cell more than once, crossing itself or passing through any thick maze walls.

As well as moving orthogonally, Finkz may move diagonally if there's a 2x2 space in which to do so, but may never pass diagonally through the rounded end / corner of a wall.

TEST CONSTRAINT: In this experiment, any two cells that are adjacent along the correct path must sum to a prime number. Also, ALL digits within a marked 3x2 box that lie anywhere on the correct path must sum to a prime number too.