Table 1 N = 51 quantum circuits. The base marked by an asterisk satisfies a^r/2 = −1 mod N and will result in a factorization failure in the classical post-processing analysis

16, 35, 50*

Fig. 3a

4, 13, 38, 47

Fig. 3b

2, 8, 19, 25, 26, 32, 43, 49

Fig. 3c

5, 7, 10, 11, 14, 20, 22, 23, 28, 29, 31, 37, 40, 41, 44, 46

Fig. 3d