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More ways to get Braingle...

Palindrome

Math brain teasers require computations to solve.

 

Puzzle ID:#15993
Fun:** (1.99)
Difficulty:**** (3.11)
Category:Math
Submitted By:curtiss82*****

 

 

 



What is the only non-palindromic integer whose cube is a palindrome?

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Comments

Bobbrt**
Jan 03, 2004

Is there a way to figure this out without just running through numbers until you get the answer? My calculator's worn out.
curtiss82**
Jan 03, 2004

This was a math problem once asked during one of my math classes. The professor didn't provide a solution, it was more as if he was stating a fact. I think he got if from a math trivia book or something.
Monique114**
Jan 03, 2004

great teaser!
eiennikireiAus*
Jan 03, 2004

i would have never gotten that!!
jimbo*au*
Jan 06, 2004

How can we verify that this is the only one? Do we just take your word for it? This rather belongs in the trivia category, unless you can back up the answer with some Mtahematical reasoning.
jimbo*au*
Jan 06, 2004

oops...Mathematical...
(user deleted)
Jan 07, 2004

I do not mean to criticize your teaser, but I agree with Bob and Jim. Sitting around and trying numbers is not the best way, unless one is perhaps obsessive-compulsive. I, too, am curious to know if there is a better way to come to this answer.
SliceOPiAus*
Jan 20, 2004

How about 7 would you consider that a palindrome? And 7 cubed= 343.
SliceOPiAus*
Jan 20, 2004

11 cubed=1331.
SliceOPiAus*
Jan 20, 2004

oops scratch that last one.
curtiss82**
Jan 20, 2004

7 reads the same forwards as it does backwards.
Mogmatt16Ava*
Jan 25, 2004

This teaser is good, but you need to say that it is the only known number like it. There are still a lot of numbers noone has ever checked.
Fhqwhgads*us*
Feb 06, 2004

that went way over my head
drussel3*us*
Jun 08, 2005

To calculate this easier, use something like excel, and copy he fomula. Pretty easy. Good One.
ElectronJohn*us*
Aug 18, 2005

Or write a simple Basic program.
kibber*
Sep 19, 2005

here we go again, does it make you feel smart to ask these impossible questions? you don't even know how to get the answer, so how do we? i could look up impossible stuff in textbooks no one ever reads and ask you about it, but i'd rather be fair, fun, and realistic.
CompWiz
Sep 30, 2005

I wrote a BASIC program on my TI-84+ SE that checked numbers up to about 250,000 before the battery ran out and the ram got cleared. The only anser it got was 2201. I might rewrite it or just write it on the computer in C.
calmsaviorAus*
Apr 26, 2006

thats not a very good hint

if you dont know what a cube is, a nd you dont know what a palindrome is, then you are very likely not going to get this teaser.
cchartrand
Aug 01, 2006

I have verified up to 5,000,000.

I am working on a verification up to 1,000,000,000. I will post results when complete.
(user deleted)
Sep 27, 2007

this question sucks balls.
(user deleted)
Sep 27, 2007

fat balls
michelle_chenAcn*
Aug 26, 2008

How to validate it's the only one non-palindromic?
javaguru*us*
Dec 21, 2008

It is interesting trivia, but I was expecting an explanation of why this has to be the ONLY integer with this property.
SRB_1807Ain*
Aug 18, 2011

my goodness ....how do u get such answers ...???



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