Residual Sets and the Density of Binary Goldbach Representations

Table 1. Empirical Verification of the Strong GoldbachConjecture for random even integers up to 16000 digits

Number of Digits	Example in Supplementary Material	Runtime (seconds)
60	Example 19	0.04
70	Example 20	0.03
80	Example 21	0.03
90	Example 22	0.04
100	Example 23	0.03
200	Example 24	0.04
300	Example 25	0.03
400	Example 26	0.03
500	Example 27	0.03
600	Example 28	0.04
700	Example 29	0.03
800	Example 30	0.04
900	Example 31	0.08
1000	Example 32	0.60
2000	Example 33	3.65
3000	Example 34	13.10
4000	Example 35	50.15
5000	Example 36	400.25
6000	Example 37	201.72
7000	Example 38	372.80
8000	Example 39	1422.95
9000	Example 40	685.03
10000	Example 41	53.51
11000	Example 42	1862.57
12000	Example 43	2801.73
13000	Example 44	5807.27
14000	Example 45	735.83
15000	Example 46	2572.99
16000	Example 47	165.35