The number 142857 is known as the most mysterious number. To get closer to the secret of this number, you should look at it from different angles.
If you multiply the number 142857 by 2, 3, 4, 5 or 6, the results are formed by a cyclic shift in the sequence of digits of the number itself.
1 х 142857 = 142857 2 х 142857 = 285714 3х142857 = 428571
4 х 142857 = 571428 5 х 142857 = 714285 6 х 142857 = 857142
7 х 142857 = 999999
The number 142857 has, like any six-digit number without zero and with different digits, 720 variations if you rearrange the digits within the number. These are divided into 30 categories, each with 24 variations.
There are a total of 84 non-repeating sets of digits among six-digit numbers without zero and with different digits. Of these, the three sets 147258, 147369, 258369 and their variations are not included in Table 6. This is the order of the system.
These three numbers are obtained as follows:
If you increase all digits of the number 142857 by one, you get a complete cycle of nine numbers (according to the system, a nine is followed by a one):
142857 – 253968 – 364179 – 475281 – 586392 – 697413 – 718524 – 829635 – 931746
These three sets of six digits can return to their initial set in three “steps”, just like the three main keys.
We see that the digits of the number 142857 refer to two main keys (147 and 258), while the digits of the most important main key (369) are not present. Furthermore, multiplying the number 142857 by 35 gives the sum 4999995, which is the sum of the rows of Table 6.
The numbers consisting of the digits of one or two of the three main keys are not in the table cells. The composition of the numbers is not determined by the creator of the table, but by the system itself.
By analysing the sections of Table 7, you will see the proof that nine of the 36 possible sets of digits cannot be present in them. Let's look at these nine sets. We increase each digit of the number 1428573 by one to get a complete cycle of nine numbers (this can be done with any variation of this number).
1428573, 2539684, 3641795, 4752816, 5863927, 6974138, 7185249, 8296351, 9317462
As you can see, of the 36 sets of digits only the nine numbers mentioned above each contain two of the three main keys (147, 258 and 369).
Table from these 9 numbers with the digital values
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The connection between the numbers 142857 and 666 is described in the following chapter:
The Secret of 666 and its Unexpected Interpretation
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