Nonconsecutive Sudoku

Nonconsecutive Sudoku is a logic puzzle. In this Sudoku variant, all orthogonally adjacent numbers cannot be consecutive.

Rules: In each cell of the NxN grid, enter a number in the range 1–N. Each number must appear exactly once in each row, column, and block.
Additional rules: Two consecutive numbers cannot touch each other horizontally or vertically (only diagonally).