This is something I noticed years ago and is what eventually led me to my discoveries in Pi. Observe the following in the decimal expansion of Pi:
• The FIRST appearance of 197 begins on the 37th digit
• When we sum the digits immediately following the FIRST appearance of 197 until we get 37, what immediately follows next is the FIRST appearance of 37
3.14159265358979323846
2643383279502884197{169399}37
{1 + 6 + 9 + 3 + 9 + 9 = 37}
The sum of all PRIMES up to 37 = 197 and the sum of all PRIMES up to 73 = 712 (Genesis 1:1 = 37 × 73). Thus, we have the following perfection: There are precisely 197 digits from the first digit in the FIRST appearance of 37 to the first digit in the FIRST appearance of 712
3.14159265358979323846
2643383279502884197169
3993751058209749445923
0781640628620899862803
4825342117067982148086
5132823066470938446095
5058223172535940812848
1117450284102701938521
1055596446229489549303
8196442881097566593344
6128475648233786783165
2712
= 197 digits
Unbelievably, I also found that the sum of all the digits BETWEEN the first appearance of 197 and the first appearance of 712 = 197 + 712 (this can be verified by simply copying/pasting the digits to the following online calculator: Digital Sum Calculator)
3.14159265358979323846
2643383279502884197169
3993751058209749445923
0781640628620899862803
4825342117067982148086
5132823066470938446095
5058223172535940812848
1117450284102701938521
1055596446229489549303
8196442881097566593344
6128475648233786783165
2712
The first digit in the FIRST appearance of 712 is immediately followed by the FIRST appearance of the 197th PRIME
3.14159265358979323846
2643383279502884197169
3993751058209749445923
0781640628620899862803
4825342117067982148086
5132823066470938446095
5058223172535940812848
1117450284102701938521
1055596446229489549303
8196442881097566593344
6128475648233786783165
271201
1201 = 197th Prime
The FIRST appearance of the 197th PRIME is immediately followed by the FIRST appearance of 909 (197 + 712 = 909)
3.14159265358979323846
2643383279502884197169
3993751058209749445923
0781640628620899862803
4825342117067982148086
5132823066470938446095
5058223172535940812848
1117450284102701938521
1055596446229489549303
8196442881097566593344
6128475648233786783165
271201909
The number of degrees in a perfect CIRCLE (360) is itself related to the pattern of 37 and 73 through the following: The difference between 370 and 730 = (730 - 370) = 360
Observe further:
The sum of the first 37 EVEN decimal digits of Pi (4 + 5 + 2 + 5 + 5 + 9 + 9 + 2 + 8 + 6 + 6 + 3 + 8 + 2 + 9 + 0 + 8 + 4 + 9 + 1 + 9 + 9 + 3 + 5 + 0 + 8 + 0 + 7 + 9 + 4 + 9 + 3 + 7 + 1 + 4 + 6 + 8) = 197
The sum of the first 37 ODD decimal digits of Pi (1 + 1 + 9 + 6 + 3 + 8 + 7 + 3 + 3 + 4 + 2 + 4 + 3 + 3 + 7 + 5 + 2 + 8 + 1 + 7 + 6 + 3 + 9 + 7 + 1 + 5 + 2 + 9 + 4 + 4 + 5 + 2 + 0 + 8 + 6 + 0 + 2) = 197 - 37
Incredibly, the number 37 happens to be the FIRST number where the alternating -/+ sum of the sequence of PRIME FACTORIZATIONS up to that number yields that very number (37). Here are the PRIME FACTORIZATIONS of the first 37 integers:
1 = 1
2 = 2
3 = 3
4 = 2 × 2
5 = 5
6 = 2 × 3
7 = 7
8 = 2 × 2 × 2
9 = 3 × 3
10 = 2 × 5
11 = 11
12 = 2 × 2 × 3
13 = 13
14 = 2 × 7
15 = 3 × 5
16 = 2 × 2 × 2 × 2
17 = 17
18 = 2 × 3 × 3
19 = 19
20 = 2 × 2 × 5
21 = 3 × 7
22 = 2 × 11
23 = 23
24 = 2 × 2 × 2 × 3
25 = 5 × 5
26 = 2 × 13
27 = 3 × 3 × 3
28 = 2 × 2 × 7
29 = 29
30 = 2 × 3 × 5
31 = 31
32 = 2 × 2 × 2 × 2 × 2
33 = 3 × 11
34 = 2 × 17
35 = 5 × 7
36 = 2 × 2 × 3 × 3
37 = 37
Here are these Prime Factors listed in their mathematical order:
1, 2, 3, 2, 2, 5, 2, 3, 7, 2, 2, 2, 3, 3, 2, 5, 11, 2, 2, 3, 13, 2, 7, 3, 5, 2, 2, 2, 2, 17, 2, 3, 3, 19, 2, 2, 5, 3, 7, 2, 11, 23, 2, 2, 2, 3, 5, 5, 2, 13, 3, 3, 3, 2, 2, 7, 29, 2, 3, 5, 31, 2, 2, 2, 2, 2, 3, 11, 2, 17, 5, 7, 2, 2, 3, 3, 37
Here is the alternating -/+ sum of the PRIME FACTORIZATIONS of the first 37 integers:
(1 - 2) + (3 - 2) + (2 - 5) + (2 - 3) + (7 - 2) + (2 - 2) + (3 - 3) + (2 - 5) + (11 - 2) + (2 - 3) + (13 - 2) + (7 - 3) + (5 - 2) + (2 - 2) + (2 - 17) + (2 - 3) + (3 - 19) + (2 - 2) + (5 - 3) + (7 - 2) + (11 - 23) + (2 - 2) + (2 - 3) + (5 - 5) + (2 - 13) + (3 - 3) + (3 - 2) + (2 - 7) + (29 - 2) + (3 - 5) + (31 - 2) + (2 - 2) + (2 - 2) + (3 - 11) + (2 - 17) + (5 - 7) + (2 - 2) + (3 - 3) + (37) = 37
Notice how this feature of the number 37 connects beautifully with what we see in the sum of the first 37 EVEN decimal digits of Pi (197) and the sum of the first 37 ODD decimal digits of Pi (197 - 37). If you recall, the sum of all PRIMES up to 37 = 197.
Observe the following:
• The sum of all integers up to 73 = 2701 and the sum of all Primes up to 73 = 712
• There are precisely 73 digits between the FIRST appearance of 2701 and the FIRST appearance of 712
3.14159265358979323846
2643383279502884197169
3993751058209749445923
0781640628620899862803
4825342117067982148086
5132823066470938446095
5058223172535940812848
1117450284102701938521
1055596446229489549303
8196442881097566593344
6128475648233786783165
2712
The sum of the SQUARES of the first 82 decimal digits of Pi = 2701. Therefore, we have the following perfection:
• Genesis 1:1 = 2701 and the digital sum of the Genesis 1:1 word values = 82
Genesis 1:1 =
913 + 203 + 86 + 401 + 395 + 407 + 296
(9 + 1 + 3) + (2 + 0 + 3) + (8 + 6) + (4 + 0 + 1) + (3 + 9 + 5) + (4 + 0 + 7) + (2 + 9 + 6) = 82
• The sum of the SQUARES of the first 82 decimal digits of Pi = 2701 = T73 and the 73rd NON-SQUARE number = 82 (see here: OEIS.org)
It is simply a fact that Genesis 1:1 is encoded in Pi. Observe: