Braingle Lite

31, 3, 5, 11, 23, 13

Submitted By:im_para_noid
Fun:*** (2.76)
Difficulty:*** (3.04)

Transform the following numbers into a palindromic sequence (one that reads the same backwards as forwards) by applying the same formula to all the numbers. What is the formula and what are the resulting numbers?

31, 3, 5, 11, 23, 13

Show Answer

Comments on this teaser

Posted by mollynoodl07/25/02
Actually, 3 squared is not 9!!

Posted by SkEwL_gUrl07/26/02
Actually, 3 squared is 9

Posted by george197807/29/02
yes 3 squared is 9 check your calculator 3x3= 9. for a square of a nuber is a number times it self two times ie 3x3.

Posted by Stargirl07/29/02
that was a really hard one

Posted by sillywilly07/31/02
The key is to identify them as prime numbers. If you pair them in a colums, then you can see the pattern if you're familiar with the squares of primes.

Posted by dsquared08/15/02
Great teaser, very clever, very tough.

Posted by mpeoples08/15/02
Multiply each number by zero. It creates a series of zeroes which obviously read that same forward and backward. It's a trick but it's valid.

Posted by majd08/18/02
I guessed it rather quickly, nice one.

Posted by klopper09/09/02

Posted by dsquared09/10/02
Another possibility is to divide each number by itself... another boring answer I know, but it works.... 1,1,1,1,1,1. Just needs a reword to remove these possibilities. It would be good if teasers could be reworded and resubmitted, it would allow for the improvement of many of the teasers on the site. Do you know if this has this been suggested anywhere before Para?

Posted by jimbo10/29/03
Excellent puzzle. Extremely interesting to see the relationships generated between primes, squares and palindromes. A lot of concepts happening here. Thanks! :D

Posted by griphook10/29/03
only a 3.09 difficulty rating ? extremely difficult but very creative

Posted by witness07/03/04
This one is annoying...not only because it is hard, but because of all the stupid comments like this one. :lol:

Posted by cnmne12/19/04
Sometimes I get lucky. I got this on my second formula (the first was to double each number, which came close). Nonetheless, a clever teaser.

Posted by Confooseled10/05/05
ok yeah that was hard.. im kinda Stupid anyways and i stay confused.. and 3 squared is 9!! im not that dumb like sum people

Posted by Confooseled10/05/05
it was good tho

Posted by schatzy22812/01/05

Posted by builder05/16/11
slick enough for me

Posted by elentir05/16/11
Too many possible answers to this. I went the 'multiply by zero' route as it is the simplest. I like the 'if n=5, n=n-2' formula though. Very creative! :D

Posted by dsjt05/16/11
I got two other answers... I multiply each number by zero to get 0,0,0,0,0,0 Then I divided each number by itself to get 1,1,1,1,1,1

Posted by dsjt05/16/11
In MOLLYNOODL's defense she was evidently working in base 8. In that case 3 squared = 10

Posted by auntiesis05/17/11
Very difficult for me. :-? :roll:

Posted by Wimm02/27/15
Many solutions possible, as stated earlier. Another one: raise each number to power 0. You get all 1's then, which is a palindrome.


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