A100374 Largest power of 2 dividing p[n+1]-p[n], the n-th consecutive-prime-difference.

1, 2, 2, 4, 2, 4, 2, 4, 2, 2, 2, 4, 2, 4, 2, 2, 2, 2, 4, 2, 2, 4, 2, 8, 4, 2, 4, 2, 4, 2, 4, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 4, 4, 4, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 4, 2, 4, 2, 2, 2, 2, 4, 2, 8, 2, 2, 4, 2, 8, 4, 8, 2, 2, 2, 2, 2, 4, 2, 8, 4, 2, 4, 4, 8, 4, 8, 4, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2