Primitive binary polynomials having w(x) of weight two

degree = 23

p(x), w(x) in binary:
100000000000000000100001, w = 1000000001000
100000000000001000000001, w = 1000000100000
101000100101110000110101, w = 10000000001000000000000
101010111101010001001011, w = 100000000000001000000
101011101101010111000111, w = 1001000000000000000000
111011011011011011011011, w = 11000000000000
111101011001000111101011, w = 100000000000010