[ 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
2002289478439035090073805055513810523453685782024507137361403148294
2161565170086143298589738273508330367307539078392896587187265469909

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

Secondly, the sum of the squares of the first seven prime numbers is 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