This is my post #666

Double Yikes! KEEP AWAY FROM ME!

Odd facts about hitting 666

The number 666 is a simple sum and difference of the first three 6th powers:

666 = 16 - 26 + 36.
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It is also equal to the sum of its digits plus the cubes of its digits:

666 = 6 + 6 + 6 + 6³ + 6³ + 6³.

There are only five other positive integers with this property.
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666 is related to (6² + n²) in the following interesting ways:

666 = (6 + 6 + 6) · (6² + 1²)
666 = 6! · (6² + 1²) / (6² + 2²)
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The sum of the squares of the first 7 primes is 666:

666 = 2² + 3² + 5² + 7² + 11² + 13² + 17²
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The sum of the first 144 (= (6+6)·(6+6)) digits of pi is 666.
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16661 is the first beastly palindromic prime, of the form 1[0...0]666[0...0]1. The next one after 16661 is

1000000000000066600000000000001

which can be written concisely using the notation 1 013 666 013 1, where the subscript tells how many consecutive zeros there are. Harvey Dubner determined that the first 7 numbers of this type have subscripts 0, 13, 42, 506, 608, 2472, and 2623 [see J. Rec. Math, 26(4)].
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A very special kind of prime number [first mentioned to me by G. L. Honaker, Jr.] is a prime, p (that is, let's say, the kth prime number) in which the sum of the decimal digits of p is equal to the sum of the digits of k. The beastly palindromic prime number 16661 is such a number, since it is the 1928'th prime, and

1 + 6 + 6 + 6 + 1 = 1 + 9 + 2 + 8.
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The triplet (216, 630, 666) is a Pythagorean triplet, as pointed out to me by Monte Zerger. This fact can be rewritten in the following nice form:

(6·6·6)² + (666 - 6·6)² = 666²
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There are only two known Pythagorean triangles whose area is a repdigit number:

(3, 4, 5) with area 6
(693, 1924, 2045) with area 666666

It is not known whether there are any others, though a computer search has verified that there are none with area less than 1040. [see J. Rec. Math, 26(4), Problem 2097 by Monte Zerger]
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The sequence of palindromic primes begins 2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, etc. Taking the last two of these, we discover that 666 is the sum of two consecutive palindromic primes:

666 = 313 + 353.
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A well-known remarkably good approximation to pi is 355/113 = 3.1415929... If one part of this fraction is reversed and added to the other part, we get

553 + 113 = 666.
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[from Martin Gardner's "Dr. Matrix" columns] The Dewey Decimal System classification number for "Numerology" is 133.335. If you reverse this and add, you get

133.335 + 533.331 = 666.666

More? http://users.aol.com/s6sj7gt/mike666.htm

 

Not personally, but boy that fellow has a way with clothes.

The late Senator Paul Simon was my mentor in how to "dress for success".

 

Dr Bob,

Where were you, when I need you back in 1997. I was in Bluefied, (I'm not sure if it was Va or WV) and stop at a reastuant for Breakfast. The bill came to $6.66, the young clerk would only point to the cash register, she would not tell me what the total was. Oh well

My goodness, does this mean that in 404 posts I have completed my initiatation for the BB?

 

You may NOW get your pix on your post. But when you hit 666, that pix will disappear and we get your firstborn.

Unless he's named Rumpelstilskin.

 

I WONDERED what happend to herr Webmeister's computer. Now, the truth comes out.