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Apr 28, 1994, 4:43:10 PM4/28/94

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Title: Cliff Puzzle 20: Vampire Numbers

From: cl...@watson.ibm.com

If you respond to this puzzle, if possible please include your name,

address, and e-mail address. If you like, tell me a little bit

about yourself. You might also directly mail me a copy of your response

in addition to any responding you do in the newsgroup. I will assume it

is OK to describe your answer in any article or publication I may write

in the future, with attribution to you, unless you state otherwise.

Thanks, Cliff Pickover

* * *

Vampire Numbers

From: cl...@watson.ibm.com

If you respond to this puzzle, if possible please include your name,

address, and e-mail address. If you like, tell me a little bit

about yourself. You might also directly mail me a copy of your response

in addition to any responding you do in the newsgroup. I will assume it

is OK to describe your answer in any article or publication I may write

in the future, with attribution to you, unless you state otherwise.

Thanks, Cliff Pickover

* * *

Vampire Numbers

If we are to believe best-selling novelist Anne Rice,

vampires resemble humans in many respects, but live secret lives hidden

among the rest of us mortals. Consider a numerical metaphor for

vampires. I call numbers like 2187 vampires numbers because they're

formed when two progenitor numbers 27 and 81 are multiplied together

(27*81 = 2187).

Note that the vampire, 2187, contains the same digits as both parents,

except that these digits are subtly hidden, scrambled in some fashion.

Similarly, 1435 is a vampire number because it contains the

digits of the progenitors 35 and 41.

(35*41=1435)

These vampire numbers secretly inhabit our number system, but most have

been undetected so far. I believe there are only six four-digit

vampires in existence, but have no idea if there are any larger vampire

numbers.

What is the largest vampire number you can find lurking out there in

the world of integers?

As the numbers get larger and larger, how often do you expect to find

vampires? Do they get sparser or more frequent as one searches for

vampires up to a googol?

I will be happy to report the largest vampire number ever found

in an article I'm writing.

(If you do any computer searches, could you tell me what language

you used and what machine you used and any other interesting

features?)

Apr 30, 1994, 6:59:04 AM4/30/94

to

cl...@watson.ibm.com (cliff) writes:

>Title: Cliff Puzzle 20: Vampire Numbers

>From: cl...@watson.ibm.com

>

>

>Vampire Numbers

>These vampire numbers secretly inhabit our number system, but most have

>been undetected so far. I believe there are only six four-digit

>vampires in existence, but have no idea if there are any larger vampire

>numbers.

I think that none of them have been detected because no one wanted to

bother to find them, this is something that would require doing

a whole lot of multiplication, and is probably better suited

to a computer.

The four-digit vampyres are ...

15 x 93 = 1395

21 x 60 = 1260

21 x 87 = 1827

27 x 81 = 2187

30 x 51 = 1530

35 x 41 = 1435

80 x 86 = 6880

Now this is only if we are strict and exclude

vampyres like

03 x 501 = 1503

03 x 510 = 1530

...

I would be tempted to include them, but the zero does leave

a question unanswered. Besides including them would

make the list of 4 digit vamps bigger than would be nice

to post to this group.

>

>What is the largest vampire number you can find lurking out there in

>the world of integers?

>

So far this, I guess I could find a bigger one if I tried hard enough.

50000 x 50219 = 2510950000

50000 x 51002 = 2550100000

50000 x 51020 = 2551000000

50000 x 51263 = 2563150000

50000 x 51902 = 2595100000

50000 x 52631 = 2631550000

50000 x 59021 = 2951050000

50000 x 59102 = 2955100000

65049 x 65244 = 4244056956

65132 x 65408 = 4260153856 /* largest possible with 32bit int...

and no I don't feel like codeing

multiple precision right now :) */

>As the numbers get larger and larger, how often do you expect to find

>vampires? Do they get sparser or more frequent as one searches for

>vampires up to a googol?

I find that near 2^32 they become very infrequent compared to

the density at small values (1 - 10000).

>

>I will be happy to report the largest vampire number ever found

>in an article I'm writing.

>

>(If you do any computer searches, could you tell me what language

>you used and what machine you used and any other interesting

>features?)

I used a C program. I just wrote it. Boy I gotta lay off the coffee!!!

The Machine is a 32bit Intel-based UNIX machine.

I didn't bother to optimize for speed, but it does a decent job

of finding vamps anyway.

If you are interested in my code, or how I coded it,

email cai...@vampyre.colorado.edu

^^^^^^^ I thought that was appropriate, don't you?

--

car...@vampyre.colorado.edu | What do 7, 11, and 4882195 have in

common? Send a self-addressed stamped envelope to 'PRIMES, PO BOX 17986,

Boulder, CO 80308, for your official prime number. Inquire within.

Apr 30, 1994, 5:14:31 PM4/30/94

to

cai...@ucsu.Colorado.EDU (Queenie) writes:

> 65049 x 65244 = 4244056956

> 65132 x 65408 = 4260153856 /* largest possible with 32bit int...

> and no I don't feel like codeing

> multiple precision right now :) */

65132 x 65408 = 4260153856

65132 x 87071 = 5671108372

65132 x 89402 = 5822931064

65133 x 98496 = 6415339968

and so on.

May 1, 1994, 10:02:58 PM5/1/94

to

In article <shriram....@cs.rice.edu>,

Maybe I didn't understand the rules correctly, but it seems to me

that once you have generated vampyre numbers you can get

arbitrarily large vampyre numbers with them.

If a and b are two numbers, each written with n digits, such that

a*b is written as a permutation of the digits of a and b, then

(a*10^m) * (b*10^m) will again be a vampyre number, since

you can write it with the digits of a*10^M and b*10^M. You write

a*b and then add 2m zeroes, with by an amazing coincidence are the

number of zeroes you have added to a and b together.

======================================================================

"It's not denial. I'm just very selective about

what I accept as reality."

--- Calvin ("Calvin and Hobbes")

======================================================================

Arturo Magidin

mag...@uclink.berkeley.edu

mag...@math.berkeley.edu

May 1, 1994, 11:08:20 PM5/1/94

to

mag...@uclink.berkeley.edu (Arturo Viso Magidin) writes:

>Maybe I didn't understand the rules correctly, but it seems to me

>that once you have generated vampyre numbers you can get

>arbitrarily large vampyre numbers with them.

I am not sure who's rules you are following. Perhaps you can

post again and tell us all that 2 + 2 still equals 4 even for

extrodinarily large values of 2.

c'mon I think that the fun is in finding numbers of distinction.

Did you know that 1 approximated to ten decimal places is

1.0000000000 ?

Give us all a break.

--

car...@vampyre.colorado.edu | What do 7, 11, and 438479857 have in

May 2, 1994, 5:12:59 PM5/2/94

to

In article <cairnss....@ucsu.colorado.edu>,

Queenie <cai...@ucsu.Colorado.EDU> wrote:

>

>I am not sure who's rules you are following. Perhaps you can

>post again and tell us all that 2 + 2 still equals 4 even for

>extrodinarily large values of 2.

>

>c'mon I think that the fun is in finding numbers of distinction.

>

Queenie <cai...@ucsu.Colorado.EDU> wrote:

>

>I am not sure who's rules you are following. Perhaps you can

>post again and tell us all that 2 + 2 still equals 4 even for

>extrodinarily large values of 2.

>

>c'mon I think that the fun is in finding numbers of distinction.

>

>Give us all a break.

>--

>--

Ok, here's the original post:

-------------------------BEGIN QUOTED ARTICLE----------------------------------

From cl...@watson.ibm.com Mon May 2 14:06:56 PDT 1994

Article: 71190 of sci.math

Path: agate!howland.reston.ans.net!EU.net!Germany.EU.net!Munich.Germany.EU.net!ibm.de!aixssc.uk.ibm.com!watnews.watson.ibm.com!watson.ibm.com!cliff

From: cl...@watson.ibm.com (cliff)

Newsgroups: sci.math

Subject: Vampire Numbers

Date: 28 Apr 1994 20:43:10 GMT

Organization: A

Lines: 43

Distribution: world

Message-ID: <2pp74u$g...@watnews1.watson.ibm.com>

NNTP-Posting-Host: cliff.watson.ibm.com

Title: Cliff Puzzle 20: Vampire Numbers

From: cl...@watson.ibm.com

Vampire Numbers

If we are to believe best-selling novelist Anne Rice,

vampires resemble humans in many respects, but live secret lives hidden

among the rest of us mortals. Consider a numerical metaphor for

vampires. I call numbers like 2187 vampires numbers because they're

formed when two progenitor numbers 27 and 81 are multiplied together

(27*81 = 2187).

Note that the vampire, 2187, contains the same digits as both parents,

except that these digits are subtly hidden, scrambled in some fashion.

Similarly, 1435 is a vampire number because it contains the

digits of the progenitors 35 and 41.

(35*41=1435)

These vampire numbers secretly inhabit our number system, but most have

been undetected so far. I believe there are only six four-digit

vampires in existence, but have no idea if there are any larger vampire

numbers.

What is the largest vampire number you can find lurking out there in

the world of integers?

As the numbers get larger and larger, how often do you expect to find

vampires? Do they get sparser or more frequent as one searches for

vampires up to a googol?

-------------------------END QUOTED MATERIAL-------------------------

Of course I agree that the only interest is in finding

non-trivially large vampyre numbers. Please point out the exact

place in this post were it is asked that the two numbers we

are multyplying together must not be both multiples of 10, or that

we must factor out as many powers of 10 as possible from both numbers.

Once you do that, I'll be happy to give you a break.

My point was that the definition of vampyre number is lacking unless

you specify that the trivial way of extending vampyre numbers which

I pointed out is ruled out.

Happy now?

Jul 2, 2019, 10:36:53 AM7/2/19

to

Being a vampire has certain limitations, but it can also be a ton of fun. Your extra strengths and abilities can make you successful in almost every endeavor you participate in and before you know it the money and acquaintances will come streaming in. You can build wealth and gain prestige and notoriety and attempt things you may never have even considered as a human. One thing you will definitely have more of is time. Beef up your education and learn all you ever wanted to. Travel the world to see things most people only ever see on TV This is going to be especially fun if you turned to share your life with one of us. Let us show you the wonders of the world. Learn new languages, go skydiving or scuba dive with sharks, visit the African safari. You no longer need to be scared of nature or wildlife you will have become the worlds strongest predator. Have fun with it and your life as a vampire can be more fulfilling than you ever dreamed. Explore, experiment, experience and get excited. There’s a big world out there with lots to see and do and as a vampire, you can do it all, if willing and ever ready to be a full blooded vampire with powers and mighty great skills then these is the opportunity for you to get transformed and turned into a vampire, contact the mighty hindu priest and also he is a vampire lord, find him on his email and lay your request and heart wishes to him, trust me you will find him on: Vampirelordtran...@gmail.com or you can as well find me on kaith...@gmail.com

Jul 30, 2019, 5:17:21 PM7/30/19

to

Dylan. Zanelli. Vampires

Jan 26, 2020, 2:44:31 PM1/26/20

to

My Name is Steve Jones from Canada, i turn to a vampire any time i want to, I become a real vampire because of how people treat me, This world is a wicked world and not fair to any body. At the snack of my finger things are made happened. Am now a powerful vampire and no one step on me without an apology goes free. I turn to human being also at any time i want to. And am one of the most dreaded and respected person in my country. i am now also very famous and rich with the help of the VAMPIRES EMPIRE. i get what ever a want. i become a vampire through the help of my friend who introduce me into a vampire Kingdom by given me their email: jamessucces...@gmail.com, if you want to become a powerful and a real vampire kindly contact the vampire kingdom on their email: jamessucces...@gmail.com for help. it is real. Contact them today. jamessucces...@gmail.com

Jan 26, 2020, 3:59:29 PM1/26/20

to

steve...@gmail.com wrote:

> My Name is Steve Jones from Canada, i turn to a vampire any time i want to, I become a real vampire because of how people treat me, This world is a wicked world and not fair to any body. At the snack of my finger things are made happened. Am now a powerful vampire and no one step on me without an apology goes free. I turn to human being also at any time i want to. And am one of the most dreaded and respected person in my country. i am now also very famous and rich with the help of the VAMPIRES EMPIRE. i get what ever a want. i become a vampire through the help of my friend who introduce me into a vampire Kingdom by given me their email: jamessucces...@gmail.com, if you want to become a powerful and a real vampire kindly contact the vampire kingdom on their email: jamessucces...@gmail.com for help. it is real. Contact them today. jamessucces...@gmail.com

You've posted in the right place Steve. We do have a few vampires around
> My Name is Steve Jones from Canada, i turn to a vampire any time i want to, I become a real vampire because of how people treat me, This world is a wicked world and not fair to any body. At the snack of my finger things are made happened. Am now a powerful vampire and no one step on me without an apology goes free. I turn to human being also at any time i want to. And am one of the most dreaded and respected person in my country. i am now also very famous and rich with the help of the VAMPIRES EMPIRE. i get what ever a want. i become a vampire through the help of my friend who introduce me into a vampire Kingdom by given me their email: jamessucces...@gmail.com, if you want to become a powerful and a real vampire kindly contact the vampire kingdom on their email: jamessucces...@gmail.com for help. it is real. Contact them today. jamessucces...@gmail.com

who could join your Kingdom.

John Gabriel is a vampire of common sense, he can draw a conclusion from

empty, void statement such as "[f(x+h)-f(x)]/h - f'(x) is a function of

x,h"

Adjunk Crank Lekturer Wolfgang Mueckheim can suck students' blood at

Hochschule Augsburg, Germany, by drawing conclusions from the fact

that any matematical object is a member of a finite set.

Demented Arab Karzhedin can demonstrate fallacies for ages by confusing

diophantian equation with real domain equations. He is sucking blood

from common decency.

David Petry may enjoy you too, he decided to avoid studying math because

he mislead himself into thinking that nobody in math was concerned with

effectiveness, so he learnt nothing and spent a few decades rantings in

the void. He is sucking blood from the elementary education he avoided.

Archimeded Plutonium, aka Perelmann is another kind of vampire, but he

is sucking blood out of himself.

Jan 26, 2020, 9:28:25 PM1/26/20

to

On Sun, 26 Jan 2020 21:59:22 +0100, Python wrote:

> steve...@gmail.com wrote:

>> My Name is Steve Jones from Canada, i turn to a vampire any time i want

>> to, I become a real vampire because of how people treat me, This world

>> is a wicked world and not fair to any body. At the snack of my finger

>> things are made happened. Am now a powerful vampire and no one step on

>> me without an apology goes free. I turn to human being also at any time

>> i want to. And am one of the most dreaded and respected person in my

>> country. i am now also very famous and rich with the help of the

>> VAMPIRES EMPIRE. [...snip...]
> steve...@gmail.com wrote:

>> My Name is Steve Jones from Canada, i turn to a vampire any time i want

>> to, I become a real vampire because of how people treat me, This world

>> is a wicked world and not fair to any body. At the snack of my finger

>> things are made happened. Am now a powerful vampire and no one step on

>> me without an apology goes free. I turn to human being also at any time

>> i want to. And am one of the most dreaded and respected person in my

>> country. i am now also very famous and rich with the help of the

>

> You've posted in the right place Steve. We do have a few vampires around

> who could join your Kingdom.

>

> John Gabriel is a vampire of common sense, he can draw a conclusion from

> empty, void statement such as "[f(x+h)-f(x)]/h - f'(x) is a function of

> x,h"

>

> Adjunk Crank Lekturer Wolfgang Mueckheim can suck students' blood at

> Hochschule Augsburg, Germany, by drawing conclusions from the fact that

> any matematical object is a member of a finite set.

>

> Demented Arab Karzhedin can demonstrate fallacies for ages by confusing

> diophantian equation with real domain equations. He is sucking blood

> from common decency.

...
> You've posted in the right place Steve. We do have a few vampires around

> who could join your Kingdom.

>

> John Gabriel is a vampire of common sense, he can draw a conclusion from

> empty, void statement such as "[f(x+h)-f(x)]/h - f'(x) is a function of

> x,h"

>

> Adjunk Crank Lekturer Wolfgang Mueckheim can suck students' blood at

> Hochschule Augsburg, Germany, by drawing conclusions from the fact that

> any matematical object is a member of a finite set.

>

> Demented Arab Karzhedin can demonstrate fallacies for ages by confusing

> diophantian equation with real domain equations. He is sucking blood

> from common decency.

> Archimedes Plutonium, aka Perelmann is another kind of vampire, but he

> is sucking blood out of himself.

Perhaps you mean Poehlmann, rather than Perelmann? Eg see the third
entry in [1], which show some other names or aliases the creature has

used: "Archimedes Plutonium (current legal name, born Ludwig Poehlmann

in 1950, raised as Ludwig Hansen, also known as Ludwig van Ludvig and

Ludwig Plutonium)"

[1] https://en.wikipedia.org/wiki/Usenet_personality#Eccentric_believers

--

jiw

Jan 30, 2020, 11:50:48 AM1/30/20

to

Jan 30, 2020, 2:50:10 PM1/30/20

to

Divide by zero and it takes any number down.

Jan 30, 2020, 3:19:27 PM1/30/20

to

Mitch Raemsch expressed precisely :

Zero is a very special number.

> Divide by zero and it takes any number down.

Multiply " " " " " " " "
Zero is a very special number.

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