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dpellerin

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Reply with quote  #1 
Which numbers has all of the following properties:

i) the number is equal to the sum of the cubes of its digits (e.g. 371 = (3x3x3)+(7x7x7)+(1x1x1)

ii) Bonus question: the numbers meets the above conditons but is also explicitely mentionned in the bible.



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Reply with quote  #2 
WOW!   This is totally 'GREEK' to this gal!   I have printed this one off the website and will see what my (genious) husband comes up with later this evening!
   Thanks for sharing.  I look forward to seeing what other's come up with.
    "Fishy Number"...............indeed!
                                      Abishag  <><
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Darcy

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Reply with quote  #3 
DP,

Oh heck, as I've said before math is not my forte, but I'll take a guess at this, based on a couple of odd things you wrote:

1.  "fishy number"

2.  "....is also explicitly mentioned in the bible"

My first instinct was the number 7, as it's repeatedly mentioned in the Bible.  My second choice was 12 because that's another number in the Bible, as is 40.  In fact there are many other numbers mentioned in the Bible, but then that "fishy number" title got my attention, so now I'm wondering if the number is 5, as there were 5 fishes (and 2 loaves).....??



Darcy

p.s.  If it's not 5, I give up, I'll leave it to Abishag, SP or someone else to figure out.
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dpellerin

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Reply with quote  #4 
Darcy,

5 is not a triangular number, neither is 7.

dp

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Darcy

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Reply with quote  #5 
DP,

Not surprising, since I wasn't basing my answer on anything to do with math.

How about 3?  Surely that's triagular.  And trinity is all over the Bible.


Darcy


p.s.  If you're not busy. I could really use some help with Abishags word riddle. 

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dpellerin

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Reply with quote  #6 
 took out the first condition (triangularity) My apologies.....

Should make it easier...


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Darcy

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Reply with quote  #7 

Easier for who?  Not for me!   LOL

I'll stick with Abishags word riddle and then I've got some interesting suggestions for the bus riddle. 


Darcy
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Darcy

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Reply with quote  #8 
DP,

I don't want another riddle sitting on this board unanswered so I sent this one to a friend of mine who has a degree in math.  I'll get back to you with his answer unless SP or some other math wizard correctly answers your riddle between now and then.


Darcy
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Darcy

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Reply with quote  #9 
DP,

Uh oh.  The phantom is back.  I just received this in my email. 


Darcy

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Click image for larger version - Name: Rob.jpg, Views: 16, Size: 161.89 KB 

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dpellerin

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Reply with quote  #10 
Take out the last fun bonus condition (sum of factorials)...I messed up big time. The problem should be simply stated as follows:

Which numbers has all of the following properties:

i) the number is equal to the sum of the cubes of its digits (e.g. 371 = (3x3x3)+(7x7x7)+(1x1x1)

ii) the numbers meets the above conditons but is also explicitely mentionned in the bible.


Hint: turns out the answer is a triangular number: a number equal to 1+2+3+..+n for some n.
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Rob

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Reply with quote  #11 
i.  153

ii Jesus and the apostles caught 153 fishes -- lucky lads. 

For it is written: 

Jesus said to them, "Bring some of the fish which you have now caught.  And while you're at it, throw in a little butter sauce and fetch me my hammock."
 
Simon Cowell Peter went up and drew the net to land, full of large fish, a hundred and fifty three, as well as a Billie Holiday CD and a lava lamp; and although there were so many fishes, the net was not torn as twas beaded with super-glue at various tension points which (the reader might imagine) had by now reached biblical proportions.

Nope, I'm not back merely passing thru.  Shecky #11 got on my computer last night and, apparently without use of the legendary abacus, sent in his answer to DP's illustrious questions, changed his mind for some reason, and deleted them -- only to have them show up anyway when captured by Darcy's shrewd eye.  (The woman is like a human camera.)  So, while I was here I thought I'd take a shot at DP's riddles and take my leave.  Ta




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dpellerin

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Reply with quote  #12 
Congrats to Rob.... And now you know whence the title of the thread comes from.

153=(1x1x1)+(5x5x5)+(3x3x3)

Also notable: 153=1!+2!+3!+4!+5! = 1+(2x1)+(3x2x1)+(4x3x2x1)+(5x4x3x2x1)

And for the icing on the cake:
153 = 1+2+3+...+17  (the sum of all integers from 1 to 17)

dp



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Darcy

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Reply with quote  #13 
Yes, congrats to Rob.  I figured once I posted I was forwarding the riddle to a friend who is a math pro it might drive the other math wizards out of hiding and onto the board and I see my strategy worked!

Wow... (followed by stunned silence)  And not only did Rob figure out DP's riddle, he correctly deduced I'm a human camera.   (I also have many other unusual attributes, yet to be revealed.)


Darcy
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