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More ways to get Braingle...

31, 3, 5, 11, 23, 13

Series teasers are where you try to complete the sequence of a series of letters, numbers or objects.

 

Puzzle ID:#5387
Fun:*** (2.79)
Difficulty:*** (3.07)
Category:Series
Submitted By:im_para_noid*****

 

 

 



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




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Comments

mollynoodl*
Jul 25, 2002

Actually, 3 squared is not 9!!
SkEwL_gUrl*
Jul 26, 2002

Actually, 3 squared is 9
george1978*
Jul 29, 2002

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.
Stargirl*
Jul 29, 2002

that was a really hard one
sillywilly
Jul 31, 2002

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.
hcleong
Aug 14, 2002

Er... multiply each number by 0?
A_n_d_y
Aug 14, 2002

no hcleong, the 2 and 5 would mess that idea up. Although it's interesting that it's nearly a palindrome.
zangel3000
Aug 14, 2002

No offense, but I don't think that teaser is that great, but hey, but that's just my oppinion.
Lyceum_
Aug 14, 2002

Multiplying by zero does work, and the palindrome becomes 0 0 0 0 0 0. You could also say "for every number equal to 5, subtract 3". That would give the sequence 31 3 2 11 23 13.
bearppbj
Aug 14, 2002

We have a bunch of brainiacs here. One can't multiply 3 times 3, another can't multiply numbers by 0 and yet another can't spell numbers. I've had a long day, so I'm a bit cranky.
bearppbj
Aug 14, 2002

Lyceum, the teaser says to apply the same formula to ALL the numbers, not SOME of the numbers.
dsquared*nz*
Aug 15, 2002

Great teaser, very clever, very tough.
mpeoples
Aug 15, 2002

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.
majd*
Aug 18, 2002

I guessed it rather quickly, nice one.
klopper
Sep 09, 2002

LOL AT MOLLYNOODL
dsquared*nz*
Sep 10, 2002

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?
jimbo*au*
Oct 29, 2003

Excellent puzzle. Extremely interesting to see the relationships generated between primes, squares and palindromes. A lot of concepts happening here. Thanks!
griphookph*
Oct 29, 2003

only a 3.09 difficulty rating ? extremely difficult but very creative
vbfreak55
Jul 03, 2004

i thought this one was very hard. it was a great idea, though!
(user deleted)
Jul 03, 2004

i thought that this one was stupid. i didn't know that we could add or multiply the numbers.
witness**
Jul 03, 2004

This one is annoying...not only because it is hard, but because of all the stupid comments like this one.
energizer74
Jul 04, 2004

Penguingirl, it says in the instructions to apply a formula to each number. The formula translated (to anybody who knows even a minute amount of math) would be: (31)^2 (3)^2 (5)^2 (11)^2 (23)^2 (13)^2 to get the answer.

It took me awhile to figure this one out, and it was a great teaser.
cnmne*us*
Dec 19, 2004

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.
Confooseled***
Oct 05, 2005

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
Confooseled***
Oct 05, 2005

it was good tho
schatzy228*us*
Dec 01, 2005

WONDERFUL
builderus*
May 16, 2011

slick enough for me
elentirAus*
May 16, 2011

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!
dsjtus*
May 16, 2011

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
dsjtus*
May 16, 2011

In MOLLYNOODL's defense she was evidently working in base 8.

In that case 3 squared = 10
auntiesisAus*
May 17, 2011

Very difficult for me.



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