ROCK MUSIC & 666

Rock music for years has propagated the number 666 — the Mark of the Beast.

I want to take you on a tour through today's rock music. And if [you] think rock is still ÷ "I Want to Hold Your Hand" ÷ you're in for the shock of your life!
In the song "The Conjuring" by Megadeth, the REAL mission of rock is clearly heard: "I AM THE DEVIL'S ADVOCATE/ A SALESMAN, if you will . . . Come join me in my INFERNAL DEPTHS . . . I've got your soul!" At the end of the song ÷ they chant "OBEY"!
The super group, Metallica, in the song "Jump In the Fire", commands young people to jump into hell: "Follow me now my child . . . DO JUST AS I SAY . . . Jump by your will or be taken by force/ I'll get you either way . . . So reach down grab my hand walk with me through the land/ COME HOME WHERE YOU BELONG/ So come on JUMP IN THE FIRE."
In the cover song, "The Prince", Metallica openly sing: "Angel from below . . . I WISH TO SELL MY SOUL . . . DEVIL TAKE MY SOUL/ with diamonds you repay/ I don't care for heaven/ so don't you look for me to cry/ AND I WILL BURN IN HELL/ from the day I die."
Twisted Sister sings, "Burn in Hell": "Welcome to the abandoned land/ COME ON IN CHILD, TAKE MY HAND/ Here there's no work or play/ Only one bill to pay/ There's just five words to say/ As you go down, down, down/ YOU'RE GONNA BURN IN HELL!"
Bon Jovi sings in "Homebound Train": "When I was just a boy/ THE DEVIL TOOK MY HAND/ Took me from my home/ He made me a man . . . I'm going DOWN, DOWN, DOWN, DOWN, DOWN/ On the homebound train." In Smash Hits magazine, Bon Jovi says, " . . . I'd kill my mother for rock and roll. I WOULD SELL MY SOUL."
One of the most popular groups in rock history is Slayer. Slayer sing of themselves, as, "Warriors from the gates of hell . . . In lord Satan we trust." Slayer's albums sell in the millions! And song after song ÷ IS PRAISE TO SATAN! Their song "Hell Awaits" says, "Jesus knows your soul cannot be saved/ CRUCIFY THE SO CALLED LORD/ He soon shall fall to me/ Your souls are damned/ your God has fell to slave for me eternally/ Hell awaits." The beginning of their song "Hell Awaits" contains an obvious backwards message. When played forward, nothing but garbled noise is heard, but when played backwards ÷ you hear the real message ÷ "JOIN US, JOIN US, JOIN US" ÷ over and over!
The group Acheron, has an album titled, "The Rites of the Black Mass". On the album Peter Gilmore, of the Church of Satan, actually reads the rites of a Black Mass, as the group Acheron, in hellish growls, sings such lyrics as: "Glory to thee almighty Satan . . . We praise thee, we bless thee, WE ADORE THEE . . . THOU ART LORD, THOU ALONE, OH MIGHTY SATAN."
The group Manowar, sings in "The Bridge of Death": "Dark Lord, I summon thee/ demanding the sacred right to burn in hell . . . take My lustful soul/ Drink my blood as I drink yours . . . LUCIFER IS KING/ PRAISE SATAN!"
The group Morbid Angel, sings in "Vengeance in Mine": "Mote it be/ Satan's sword I have become . . . I burn with hate/ TO RID THE WORLD OF THE NAZARENE!" And to commit the ultimate blasphemy ÷ they sing in the song "Blasphemy": "Chant the blasphemy/ Mockery of the Messiah/ WE CURSE THE HOLY GHOST . . . Blaspheme the Ghost/ BLASPHEMY OF THE HOLY GHOST." Trey Azagthoh of Morbid Angel claims to be a REAL vampire, and while playing onstage ÷ he actually bites himself and then drinks his own blood!
The song "Stairway to Heaven" by the group Led Zeppelin is the most popular song in rock history. One line of the song, says, "you know sometimes words have TWO MEANINGS." They should know ÷ the song is drenched in satanic backmasking! One part when played forward, says: "Yes, their are two paths you can go by, but in the long run there's still time to change the road you're on." But when played backwards, you clearly hear: "IT'S MY SWEET SATAN . . . Oh I will sing because I live with Satan." This is the number one song in rock history! Just a coincidence ÷ not hardly! Jimmy Page of Led Zeppelin is a devout follower of satanist, Aliester Crowley. One of Crowley's satanic teachings, learn to cast unsuspecting spells on people by saying them backwards! Zeppelin's song "Houses of the Holy", they sing, "Let the music be YOUR MASTER/ Will you heed the master's call/ Oh, Satan . . ."
One of the top songs of the 70's was "Hotel California" by the Eagles. Most people have no idea the song refers to the Church of Satan, which happens to be located in a converted HOTEL on CALIFORNIA street! On the inside of the album cover, looking down on the festivities, is Anton Lavey, the founder of the Church of Satan and author of the Satanic Bible! People say, the Eagles aren't serious, they're just selling records. That's what you think! The Eagles manager, Larry Salter, admitted in the Waco Tribune-Herald, (Feb. 28, 1982) that the Eagles were involved with the Church of Satan! Not surprisingly, one of the Eagles's songs is titled "Have A Good Day in Hell."
The group Kiss leaped on stage as rock'n roll demons ÷ puking blood, breathing fire and screaming ÷ "God of rock'n roll, we'll steal your virgin soul." In their song "God of Thunder", they command young people to kneel before Satan: "I'm lord of the wasteland, a modern day man of steel/ I gather darkness to please me/ and I COMMAND YOU TO KNEEL/ Before, The God of thunder, the god of rock'n roll/ I'LL STEAL YOUR VIRGIN SOUL!"
Female rocker, Kat sings in the Simon-Says parody called, "Satan Says": "Hi, boys and girls!/ We're going to play a game called Satan says! . . . We're going to do everything that Satan says, Right? . . . Satan says, Follow me!/ SATAN SAYS, GO TO HELL!"
The group Bow Wow Wow, in their song "Prince of Darkness", openly give an invitation to receive Satan, as they sing: "So open the door and LET SATAN IN, The Prince of Darkness."
The group Sad Iron, sings, "We All Praise the Devil": "We all praise the devil/ He is so fine/ We all praise the devil/ Till the day we'll die!"
The group W.A.S.P., who proudly admit W.A.S.P. stands for We Are Sex Perverts, sing in "Sleeping in the Fire": "Taste the LOVE, THE LUCIFER'S MAGIC that makes you numb/ You feel what it does and you're drunk on love/ YOU'RE SLEEPING IN THE FIRE!" During their concerts, WASP would throw hunks of raw meat out in the audience and young people in a demonic frenzy, would actually eat the raw meat like a wild animal! On the back of their album reads, "The gods you worship are steel, AT THE ALTAR OF ROCK AND ROLL YOU KNEEL."
Motley Crue sings in "Wild Side": "I carry my crucifix, under my deathlist/ forward my mail to me in hell . . . OUR FATHER, WHO AIN'T IN HEAVEN/ Be thy name on the wild side."
The group Black Sabbath have actually given invitations during their concerts for young people to receive Satan. One of their albums, is truthfully titled, "We Sold Our Soul for Rock'n Roll". Their song N.I.B. (Nativity In Black) is one of the most openly satanic songs ever recorded. It is a love-song from Lucifer, in which Lucifer invites the listener to "please take my hand", the lyrics: "Some people say MY LOVE cannot be true/ please believe me, MY LOVE, and I'll show you/ I will give you those things you thought unreal . . . YOUR LOVE FOR ME has just got to be real . . . Look into my eyes, you will see who I am/ MY NAME IS LUCIFER, PLEASE TAKE MY HAND!"
One of the most popular groups in rock is AC/DC. In the song, "Hells Bells", they sing, "I got my bell/ I'm gonna take you to hell/ I'm gonna get ya/SATAN GET YA" Their song "Highway to Hell" says: "Ain't nothing I would rather do/ GOIN' DOWN, PARTY TIME/ My friends are gonna be there too . . . Hey Satan, paid my dues . . . I'm on the way to the promised land/ I'm on the HIGHWAY TO HELL."
The group Suicidal Tendencies, whose songs glorify suicide and have been linked to teen suicides, reveal a frightening truth in the song "Possessed": "I'M A PRISONER OF A DEMON . . . It stays with me wherever I go/ I can't break away from its hold/ This must be my punishment/ FOR SELLING MY SOUL!"
The group Unleashed, in the song "Crush the Skull", blatantly sing of their hatred of Jesus Christ: "I gaze into his glassy eyes/ and pluck him by the beard/ I uplift a broadaxe/ and split open HIS WORM EATEN SKULL/ Crush the skull ÷ Sacrifice/ Crush the skull ÷ DIE CHRIST!" Where did they get such disgusting lyrics? Straight out of the Satanic Bible ÷ Book of Satan 1:10!
Pink Floyd sings, in the song "Sheep", "The Lord is my shepherd, I shall not want . . . With bright knives he RELEASETH MY SOUL/ He maketh me to hang on hooks in high places . . . For lo, he hath great power and GREAT HUNGER." Their song, "Lucifer Sam", they sing: "LUCIFER Sam . . . Always sitting by your side/ Always by your side."
The group Possessed, in the suicide song, "No Will To Live" sing: "Drink the blood from my chalice/ Come to hell and my palace . . . Take you to the evil land . . . You can only live by death/ WORSHIP SATAN WITH THE REST!" In their song "Tribulation", they proclaim their love for Satan as they sing: "IN LOVE WITH SATAN."
The song, "The Oath" by Mercyful Fate, is the actual oath a satanist takes during a Black Mass ritual! some of the lyrics: "I DENY JESUS CHRIST, THE DECEIVER/ and I abjure the Christian faith/ holding in contempt all of it's works . . . in this world I swear to give my full allegiance, to it's lawful master/ TO WORSHIP HIM, OUR LORD SATAN, AND NO OTHER!"
The song "Sympathy for the Devil" by the Rolling Stones, is the official anthem for the Church of Satan. In it, Lucifer speaks in the first person and asks sympathy for all who meet him. Lead singer, Mick Jagger claims that Anton Lavey, the founder of the Church of Satan and author of the Satanic Bible, help inspire their music! Their album titled, "Their Satanic Majesties Request", leaves no doubt to their allegiance!
The group Venom reveal the real reason for their music, as they sing: "We're not here to entertain you . . . I PREACH THE WAYS OF SATAN/ Answer to his calls!" Their song "Possessed", they sing, "I am possessed by all that is evil/ The death of your God, I demand . . . AND SIT AT LORD SATAN'S LEFT HAND!"
These are some of the most popular groups in the world! And these are not isolated cases! These are just a drop in the bucket! This is dangerous and serious satanic worship ÷ and rock music is filled with it!
Iron Maiden's, song "The Number of the Beast", in which they direct young people to take the Mark of the Beast: "666 the Number of the Beast/ 666 THE ONE FOR YOU AND ME!"
The group Deicide, whose name means "death of God", sing of their devotion in the song "In Hell I Burn": "In Hell I burn, no questions remain/ In hell I burn for Satan." Their song, "Oblivious To Evil" describes a satanic human sacrifice. It begins with an invitation to "join us": "Join us . . . Sacrifice of the unborn child/ Enter the kingdom of darkness/ Sodomized for the ritual . . . Infernal majesty, take this dead offering." Vocalist Glen Benton, displaying his complete devotion to Satan, has an upside down cross actually branded into his forehead!
The group Coven, sings in "Burn the Cross": "Son of God repent your sins/ And pledge your soul to hell/ Pray that Satan will forgive/ Once your God has failed . . . YOUR GOD IS DEAD and now you die/ SATAN RULES AT LAST!" To show their burning hatred of Jesus Christ, and blaspheme His death on the cross, they sing "Christsycle": "If you're looking for a Saviour/ Then I've got the trick/ Christsycle/ SALVATION ON A STICK."
The popular group, Danzig in their song, "Snakes of Christ", declare their hatred for Jesus Christ, as they sing: "SERPENT JESUS, SNAKES OF CHRIST/ gonna build you a world of lies." Inside the album is Glenn Danzig, wearing the satanic upside-down cross, above him is proudly quoted, John 8:44, "Ye are of your father the devil, and the lusts of your father ye will do." One of their logos is a demon strangling Jesus Christ with blood gushing from His eyes!....

The Number of the Beast 666

The number 666 is cool. Made famous by the Book of Revelation (Chapter 13, verse 18, to be exact), it has also been studied extensively by mathematicians because of its many interesting properties. Here is a compendium of mathematical facts about the number 666. Most of the well-known "chestnuts" are included, but many are relatively new and have not been published elsewhere. im writing these as this year there is a date which represents the number of the beast which is 06-06-06,which can be also referred as 666. so enjoy the info i gained studying about this date.

The number 666 is a simple sum and difference of the first three 6th powers:
666 = 16 - 26 + 36.
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. Exercise: find them, and prove they are the only ones!
666 is related to (6² + n²) in the following interesting ways:
666 = (6 + 6 + 6) · (6² + 1²) 666 = 6! · (6² + 1²) / (6² + 2²)
The sum of the squares of the first 7 primes is 666:
666 = 2² + 3² + 5² + 7² + 11² + 13² + 17²
The sum of the first 144 (= (6+6)·(6+6)) digits of pi is 666.
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)].
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.
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
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]
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.
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.
[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
[from G. L. Honaker, Jr.] There are exactly 6 6's in 6666. There are also exactly 6 6's in the previous sentence!
[by P. De Geest, slight refinement by M. Keith] The number 666 is equal to the sum of the digits of its 47th power, and is also equal to the sum of the digits of its 51st power. That is,
66647 =
504996968442079675317314879840556477294151629526540818811763266893654044661
6033068653028889892718859670297563286219594665904733945856
66651 =
993540757591385940334263511341295980723858637469431008997120691313460713282
967582530234558214918480960748972838900637634215694097683599029436416
and the sum of the digits on the right hand side is, in both cases, 666. In fact, 666 is the only integer greater than one with this property. (Also, note that from the two powers, 47 and 51, we get (4+7)(5+1) = 66.)
The number 666 is one of only two positive integers equal to the sum of the cubes of the digits in its square, plus the digits in its cube. On the one hand, we have
6662 = 4435566663 = 295408296
while at the same time,
(43 + 43 + 33 + 53 + 53 + 63) + (2+9+5+4+0+8+2+9+6) = 666.
The other number with this property is 2583.
We can state properties like this concisely be defining Sk(n) to be the sum of the kth powers of the digits of n. Then we can summarize items #13, #14, and #2 on this page by simply writing:
666
= S2(666) + S3(666)

= S1(66647)

= S1(66651)

= S3(6662) + S1(6663)
[P. De Geest and G. L. Honaker, Jr.] Now that we have the Sk(n) notation, define SP(n) as the sum of the first n palindromic primes. Then:
S3( SP(666) ) = 3 · 666
where the same digits (3, 666) appear on both sides of the equation!
[by Carlos Rivera] The number 20772199 is the smallest integer with the property that the sum of the prime factors of n and the sum of the prime factors of n+1 are both equal to 666:
20772199 = 7 x 41 x 157 x 461, and 7+41+157+461 = 66620772200 = 2x2x2x5x5x283x367, and 2+2+2+5+5+283+367 = 666.
Of course, integers n and n+1 having the same sum of prime factors are the famous Ruth-Aaron pairs. So we can say that (20772199, 20772200) is the smallest beastly Ruth-Aaron pair.
[by G. L. Honaker, Jr.] The sum of the first 666 primes contains 666:
2 + 3 + 5 + 7 + 11 · · · + 4969 + 4973 = 1533157 = 23 · 66659
[Wang, J. Rec. Math, 26(3)] The number 666 is related to the golden ratio! (If a rectangle has the property that cutting off a square from it leaves a rectangle whose proportions are the same as the original, then that rectangle's proportions are in the golden ratio. Also, the golden ratio is the limit, as n becomes large, of the ratio between adjacent numbers in the Fibonacci sequence.) Denoting the Golden Ratio by t, we have the following identity, where the angles are in degrees:
sin(666) = cos(6·6·6) = -t/2
which can be combined into the lovely expression:
t = - (sin(666) + cos(6·6·6) )
There are exactly two ways to insert '+' signs into the sequence 123456789 to make the sum 666, and exactly one way for the sequence 987654321:
666 = 1 + 2 + 3 + 4 + 567 + 89 = 123 + 456 + 78 + 9 666 = 9 + 87 + 6 + 543 + 21
[from Patrick Capelle]
666 is a divisor of 123456789 + 987654321.
[from Patrick Capelle] 666 can be expressed just using the digit 3, as
666 = p(3·3·3) + p(p(3·3·3))
where p(i) means the ith prime number (that is, p(1) = 2, p(2) = 3, p(3) = 5, etc.)
A Smith number is an integer in which the sum of its digits is equal to the sum of the digits of its prime factors. 666 is a Smith number, since
666 = 2·3·3·37
while at the same time
6 + 6 + 6 = 2 + 3 + 3 + 3 + 7.
Consider integers n with the following special property: if n is written in binary, then the one's complement is taken (which changes all 1's to 0's and all 0's to 1's), then the result is written in reverse, the result is the starting integer n. The first few such numbers are
2 10 12 38 42 52 56 142 150 170 178 204 212 232 240 542 558 598 614...
For example, 38 is 100110, which complemented is 011001, which reversed is 100110. Now, you don't really need to be told what the next one after 614 is, do you?
The following fact is quite well known, but still interesting: If you write the first 6 Roman numerals, in order from largest to smallest, you get 666:
DCLXVI = 666.
The previous one suggests a form of word play that was popular several centuries ago: the chronogram. A chronogram attaches a numerical value to an English phrase or sentence by summing up the values of any Roman numerals it contains. (Back then, U,V and I,J were often considered the same letter for the purpose of the chronogram, however I prefer to distinguish them.) What's the best English chronogram for 666? Here's one that's pretty apt:
Expect The Devil.
Note that four of the six numerals are contained in the last word.
A standard function in number theory is phi(n), which is the number of integers smaller than n and relatively prime to n. Remarkably,
phi(666) = 6·6·6.
The nth triangular number is given by the formula T(n) = (n)(n+1)/2, and is equal to the sum of the numbers from 1 to n.
666 is the 36th triangular number - in other words,
T(6·6) = 666.
In 1975 Ballew and Weger proved (see J. Rec. Math, Vol. 8, No. 2):
666 is the largest triangular number that's also a repdigit
(A repdigit is a number consisting of a single repeated non-zero digit, like 11 or 22 or 555555.)
[From Patrick Capelle] 666 is the sum of the squares of two consecutive triangular numbers:
666 = 152 + 212
which can also be elegantly written as
T(6·6) = T(5)2 + T(6)2.
But also note that T(5) + T(6) = T(8). Indeed, 666 is the smallest triangular number of the form a2 + b2 with a+b also triangular.
The doubly-triangular numbers are those numbers of the form T(T(n)), where T(n) are the triangular numbers defined in the previous item. The sequence of doubly-triangular numbers begins
1, 6, 21, 55, 120, 321, 406, 666, 1035
so we see that 666 is the eighth doubly-triangular number (i.e., T(T(8)) = 666).
The nth doubly-triangular number is, among other things, the number of ways to paint the vertices of a square using a set of n colors, where the colors are distinct but rotations and reflections of a given colored square are considered the same. So there are 666 distinct ways of painting the vertices of a square with a set of eight colors.
[from Monte Zerger] 6 (= T(3)), 66 (= T(11)), and 666 (= T(36)) are all triangular numbers in base 10. These three numbers are also triangular in two other bases: 49 and 2040:
(6)49 = 6 = T(3)(66)49 = 300 = T(24)(666)49 = 14706 = T(171)
(6)2040 = 6 = T(3)(66)2040 = 12246 = T(1564)(666)2040 = 24981846 = T(7068)
[from Monte Zerger] 6666 = 87266061345623616, which contains 6 6's. In addition, the digits of 6666 can be split into two sets in two different ways, both of which sum up to the same value, 36 (= 6 x 6).
The first eight and last nine digits both sum to 36:
8 + 7 + 2 + 6 + 6 + 0 + 6 + 1 = 6 x 6 = 3 + 4 + 5 + 6 + 2 + 3 + 6 + 1 + 6
while the 6's and non-6's also add up to 36:
6 + 6 + 6 + 6 + 6 + 6 = 6 x 6 = 8 + 7 + 2 + 0 + 1 + 3 + 4 + 5 + 2 + 3 + 1
Finally, note that 6666 is almost pandigital - the only digit it's missing is an upside-down 6 (i.e., 9).
A polygonal number is a positive integer of the form
P(k,n) = n((k - 2)n + 4 - k)/2
where k is the 'order' of the polygonal number (k=3 gives the triangular numbers, k=4 the squares, k=5 the pentagonal numbers, etc.), and n is its index. A repdigit polygonal number is a polygonal number that also happens to be a repdigit. Finally, define the wickedness of a polygonal number as n/k. Now, an amazing fact:
666 is conjectured to be the most wicked repdigit polygonal number.
Since 666 = P(3,36), its wickedness value is n/k = 12. I recently showed by computer calculation that there are no counterexamples to this conjecture less than 1050. See my paper here for more details. It seems quite certain that this is true but so far no one has proved it.
Whilst on the subject of polygonal numbers, we can find among them some rather beastly configurations. One of the more striking is the following:
If one arranges a group of people in a solid 3010529326318802-sided polygon with 666 people on each side, there will be a total of 666666666666666666666 persons in all.
Or, more simply, P(3010529326318802, 666) = 666666666666666666666. See the paper link in the previous item for more like this.
Define PI(n,d) as the d consecutive decimal digits of the number π (3.14159265358979...) starting at the nth digit after the decimal point. Then we can make the following pretty statement:
PI(666, 3) = 7·7·7 (since the digits at that position are "343", or 7 cubed)
as well as the following one, which contains nothing but 6's and 3's (and two 666's):
PI(666 · 3.663663663..., 3) = 666.
Inserting zeros between the sixes in 666 gives the number 60606, which has a few interesting properties of its own:
60606 = 7 x 13 x 666 = 91 x 666 = T(13) x T(36) - i.e., 60606 is the product of two triangular numbers.
60606 = 7 x 37 x (13 x 18), which is interesting in that Rev 13:18 is the place where 666 is mentioned.
60606 = P(7,156) - i.e., 60606 is a 7-gonal number. (Note that this can be written entirely using the evocative numbers 6, 7, and 13, by saying 60606 = P(7, (6+6)·13)). In addition we can make a statement using only 7's:
60606 is the 7th palindromic 7-gonal number.
60606 has exactly 6 prime factors.
60606+1 is a prime number. Not only that, but it's a prime (p) for which the period length of the decimal expansion of its reciprocal (1/p) attains the maximum possible value of p-1. In other words:
1/(60606 + 1) has period length 60606.
60606 is, just like 666, the sum of two consecutive palindromic primes (both of which contain the evil eyes!):
60606 = 30203 + 30403.
[Thanks to G. L. Honaker, Jr., Jud McCranie, Monte Zerger, and Patrick De Geest for these.]
While we're on the subject of numbers closely related to 666...in July 2000 I snapped the following picture of my car's odometer
which suggests that it might be worthwile to explore the double-wide-beast number (666666). Besides the obvious 666666 = 1001 x 666, Patrick De Geest points out that 666666 is a palindrome in both base 10 and base 16 (hex-adecimal - get it?), where its value is A2C2A. He also notes that in base 31 it is MBMB, which just like 666666 (made of two 666's) is formed by concatenating two identical parts (MB). Perhaps MB could be read as Multiple Beast.
[found by Jud McCranie] It is a theorem that every positive integer occurs as the period length of the reciprocal of some prime. So, the obvious question arises: what's the smallest prime with period length 666? The answer was found in June 1998:
p = 902659997773 is the smallest prime whose reciprocal has period length 666.
The first 666 digits after the decimal point of 1/p (which then repeat) are:
00000000000110783684052373279401585639362917619991156736445955345384909660
527988183807668097998888678177303842311452437050057139244540856022857428448
0352437836776725525116619485115892576776519141738094220028289530945207260114
524370499463555604884827434558428086723261636865158160657066031266795971496
637303661413240039402749172168836999999999998892163159476267205984143606370
823800088432635540446546150903394720118161923319020011113218226961576885475
6294994286075545914397714257155196475621632232744748833805148841074232234808
5826190577997171046905479273988547562950053644439511517256544157191327673836
3134841839342933968733204028503362696338586759960597250827831163
Observe that if you turn the prime p upside down, there's a 666 inside, slightly to the left of the middle, and if you turn the single period of 1/p upside down, there's a 66666666666 inside, slightly to the left of the middle!
[from Simon Whitechapel] A mathematically important number sequence is:
7, 17, 19, 23, 29, 47, 59, 61, 97, 109, 113, 131, 149, ...
which is the sequence of primes p whose reciprocal in base 10 has maximum period p-1. The last one, 1/149 with period 148, has the following digits after the decimal point (which then repeat):
006711409395973154362416107382550335570469798657718120805369127516778523489
9328859060402684563758389261744966442953020134228187919463087248322147651
As luck would have it, the sum of these is 666. If these 148 numbers (the first 148 digits of 1/149) are written as the top row of a 148x148 square grid, and then the digits of 2/149 as the second row, then 3/149 and so on, the result is a 148x148 pseudo-magic square, in which every row and column sums to 666.
[sent in by P. De Geest] The smallest prime number with a gap of 666 (that is, such that the prime following it is larger than it by exactly 666) is
18691113008663
Note the three sixes! Also, Patrick Capelle points out that this prime (1869113008663) and the following one (1869113008663 + 666 = 18691113009329) both have the same digit sum, 53 (also a prime).
Define a dottable fraction as one in which dots (representing multiplication) can be interspersed in both the numerator and denominator to produce an expression that's equal to the original fraction. The noteworthy dottable fraction
666 = 6·6·6
64676 6·46·76
has a numerator of 666 and a denominator of the form 6x6y6.
Here's another one (actually, two) based on a fraction [by Manley Perkel and Mike Keith]. The fraction 1666/6664 (which has a 666 in both numerator and denominator) has two interesting properties:
(1) The numerical value of the fraction (0.25) is the same as the numerical value of the fraction you get by "canceling" (i.e., erasing or removing) the 666 from both the numerator and denominator.
(2) The value of the fraction is the same as the value you get by splitting the fraction in half and multiplying the two parts together; that is,
1666 = 16 . 66
6664 66 64
A fraction like this is known as a fractured fraction.
The alphametic below has a unique solution (i.e., there is only one way to replace letters with digits so that the addition sum is correct):
SIX
SIX
SIX
+BEAST
SATAN
[by Monte Zerger] Note that 1998 (a recent year) = 666 + 666 + 666. Not only that, but if we set A=3, B=6, C=9, etc., we find, amazingly, that
NINETEEN NINETY EIGHT = 666
Frank Fiederer points out that the age of the United States in 1998 is also related to 666, since
1998 - 1776 = 666/3.
Finally, we close with an observation that makes a commentary on the folly of attaching a specific meaning to the number 666. If the letter A is defined to be equal to 36 (=6·6), B=37, C=38, and so on, then:
The sum of the letters in the word SUPERSTITIOUS is 666.

*the info above is exactly as it was published on a site.

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