### Brain Teasers

# Vampires

Vampire numbers are the products of two progenitor numbers that when multiplied survive, scrambled together, in the vampire number. Consider one such case: 27x81=2,187. Another vampire number is 1,435, which is the product of 35 and 41. Find others.

### Answer

21x60=1,26015x93=1,395

1,234,554,321 x 9,162,361,086 = 11,311,432,469,283,552,606 with others that also work

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## Comments

How could you ever figure this stuff out? Good show.

I'd never heard of vampire numbers before, what a fun concept

Very nice teaser.

This is trivia. It can be arrived at by trial and error, or by writing a program to find the numbers (which is really also trial and error, just faster). Math teasers are supposed to involve calculations. I'd presume the calculations should be those done by a person, not a computer.

that was fun and clever, it doesn't seem like trivia to me, its all mathmatical equations. I liked it!

While I thought this was interesting, and managed to think of a few through logical deduction followed by some trial and error (21x60=1260, 30x51=1530 and 21x87=1827), I have to agree with Paul. This really isn't a math teaser.

Here's a question that occurred to me that I don't know the answer to: are any of the vampire products also a vampire number?

Here's a question that occurred to me that I don't know the answer to: are any of the vampire products also a vampire number?

Vampire numbers are products.

OK, I guess my extra question wasn't well stated.

What I meant was that I wonder if any of the vampire numbers can be used to create another vampire number.

What I meant was that I wonder if any of the vampire numbers can be used to create another vampire number.

Thanks for your puzzle.

I managed to solve it with unical (a solver for mathematical problems by A. L. Semenov et al.). I uploaded the model file that I used to pastebin for anyone who might be interested to play with it.

http://pastebin.com/tuuwZpsd

I managed to solve it with unical (a solver for mathematical problems by A. L. Semenov et al.). I uploaded the model file that I used to pastebin for anyone who might be interested to play with it.

http://pastebin.com/tuuwZpsd

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