The 37th Odd Number Is 73

The positive odd numbers follow the formula 2n − 1, where n is the number's position in the sequence. Therefore:

2 × 37 − 1 = 73

This means that 73 is the 37th positive odd number. The complete sequence through position 37 is shown below.

Position	Odd number
1	1
2	3
3	5
4	7
5	9
6	11
7	13
8	15
9	17
10	19
11	21
12	23
13	25
14	27
15	29
16	31
17	33
18	35
19	37
20	39
21	41
22	43
23	45
24	47
25	49
26	51
27	53
28	55
29	57
30	59
31	61
32	63
33	65
34	67
35	69
36	71
37	73

This is an exact and interesting relationship between 37 and 73. It is presented as a supporting numerical curiosity rather than as independent statistical evidence.

Position	Odd number
1	1
2	3
3	5
4	7
5	9
6	11
7	13
8	15
9	17
10	19
11	21
12	23
13	25
14	27
15	29
16	31
17	33
18	35
19	37
20	39
21	41
22	43
23	45
24	47
25	49
26	51
27	53
28	55
29	57
30	59
31	61
32	63
33	65
34	67
35	69
36	71
37	73

Position	Odd number
1	1
2	3
3	5
4	7
5	9
6	11
7	13
8	15
9	17
10	19
11	21
12	23
13	25
14	27
15	29
16	31
17	33
18	35
19	37
20	39
21	41
22	43
23	45
24	47
25	49
26	51
27	53
28	55
29	57
30	59
31	61
32	63
33	65
34	67
35	69
36	71
37	73

Position	Odd number
1	1
2	3
3	5
4	7
5	9
6	11
7	13
8	15
9	17
10	19
11	21
12	23
13	25
14	27
15	29
16	31
17	33
18	35
19	37
20	39
21	41
22	43
23	45
24	47
25	49
26	51
27	53
28	55
29	57
30	59
31	61
32	63
33	65
34	67
35	69
36	71
37	73