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[ November 7, 2000 ]
Some old and new discoveries about the Number of the Beast 666

Observe these hiding places of the beast in the three consecutive powers of 6n–1.

The number of the beast 666 is closely related to our unlucky number 13 !
614–1 has 6 prime factors
615–1 has 6 prime factors
616–1 has 6 prime factors

The number of the beast 666 is also the 36th triangular number!
637–1 has 6 prime factors
638–1 has 6 prime factors
639–1 has 6 prime factors

What more lies hidden e.g. behind the triplets (14,15,16) and (37,38,39) ?
Note (13+14+15) * (36+37+38) = 7 * 666 !
Lucky number 7 is playing a role as well besides the unlucky 13 !

The story isn't finished as G. L. Honaker, Jr. points out.
The 2 palindromes 666 and 555 (resulting from 666 – (36+37+38) = 555)
occur exactly once in the decimal expansion of 2666 555

3061802069160839023092406500876024752826394864138666225770884719135
20022894784390350900738050
55513810523453685782024507137361403148294
2161565170086143298589738273508330367307539078392896587187265469909 Here is the first of three beautiful PALINDROMIC constructions
from Martin Gardner's book "Puzzles from other Worlds" [ Chapter 31 ]

 1 3 + 2 3 + 3 3 + 4 3 + 5 3 + 6 3 + 5 3 + 4 3 + 3 3 + 2 3 + 1 3 = 666
Secondly, the sum of the squares of the first seven prime numbers is 666.
 2 2 + 3 2 + 5 2 + 7 2 + 11 2 + 13 2 + 17 2 = 666
And thirdly, the first 144 decimal digits of pi, as Michael Steuben found, add to 666.
Note that 144 = (6 + 6) x (6 + 6)  See also WONplate 21  A000079 Prime Curios! Prime Puzzle  Wikipedia 79 Le Nombre 79 Numberland 79 ```

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