please solve part a only

u: {a} 5 points. Prm'e or disprove: In an}r sequence of 6 consecutive natural numbers where the rst number is at least 6, there are at most 2 primes. {h} 6 points A lmjght is in the bottom left corner of an n X u checkerboard and would like to reach to opposite diagonal corner of the chessboarcl. As in our practice problem1 a chess knight can move one space horizontally and two spaces vertically,r or Vice versa. Prove that the knight cannot reach the opposite corner in an odd number of moves