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Partitions of the Number of the Beast 666

666 has 11956824258286445517629485 partitions.
Note that p(666) = 11956824258286445517629485
= 5 * 11 * 709 * 306624548231476997503

Enoch Haga noticed the absence of  2 digits in this number nl. 3 and zero !
This allowed him to construct the following equation
11 + 95 + 68 + 24 + 25 + 82 + 86 + 44 + 55 + 176 + nothing more! = 666

G. L. Honaker Jr. had one disturbingly deep dream. It began like this :
SOD(p(666)) is the 4th Mersenne number : 127 ! (SOD = Sum Of Digits)
= 20 + 21 + 22 + 23 + 24 + 25 + 26 which he calls the 7 Seals of the Apocalypse !
Concatenating the missing digits 3 and zero of our partition number gives us 30.
All this leads us to Sloane's sequence A043740 where 127 occurs at the 7th position
1, 3, 7, 15, 31, 63, 127, ... ... congruent to 1 mod (7 Seals)

led Now take a look at the 30th term led
And arrived at this point the dream came abruptly to an end !
For the first time in his life G. L. was afraid to look but there is no escape from the beast !



A000066 Prime Curios! Prime Puzzle
Wikipedia 66 Le Nombre 66 Numberland 66
























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