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The Engineer
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Number Riddles

03/29/2010 11:37 AM

Hi all. Here's another number riddle for you all to mull over. See if you can provide the next number in the series....

219, 282, 1183, 1208, 2619, 2922, 5019,....

Good Luck

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#1

Re: Number Riddles

03/30/2010 12:12 AM

This would make me think to hard.

Heres' an easier one: 75, 83, 93, 135, 203, ...

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#2
In reply to #1

Re: Number Riddles

03/30/2010 10:56 AM

too hard, that is.

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#3
In reply to #2

Re: Number Riddles

03/30/2010 10:59 AM

I think you'll be surprised how simple the solution to my riddle is. Just because you yourself can't solve it doesn't make it too hard.

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#4
In reply to #3

Re: Number Riddles

03/30/2010 11:00 AM

Or for that matter, if I had never seen it before and couldn't solve it wouldn't make it too hard either.

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#5
In reply to #3

Re: Number Riddles

03/30/2010 11:23 AM

True. I was worried about possible head explosion from excess thinking.

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The Engineer
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#6
In reply to #5

Re: Number Riddles

03/30/2010 11:34 AM

Don't worry, with my number riddles there will be no head exploding. It's in my code of ethics: "I shall do no harm through my number riddles" It's the Pythagorean Oath.

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#7

Re: Number Riddles

03/30/2010 2:59 PM

6680

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#8

Re: Number Riddles

03/30/2010 3:00 PM

Ok. I'm pretty sure that it's 5562.

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#9
In reply to #8

Re: Number Riddles

03/30/2010 3:21 PM

Nice Job Mikerho!

The next number is 5562. The series is a slightly altered presentation of the first four pairs of Amicable Numbers. The series:

(220, 284), (1184, 1210), (2620, 2924), (5020, xxxx)

Since if I just gave you that as a series you could quickly google it and find Amicable Numbers, I instead created the following series:

220-1, 284-2, 1184-1, 1210-2, 2620-1, 2924-2, 5020-1,......

which is:

219, 282, 1183, 1208, 2619, 2922, 5019,......

The Amicable Number that goes with 5020 is 5564, which when you subtract 2 gives you:

5564-2=

5562

Which is precisely what Mikerho answered.

In honor of your number riddle prowess, I'm adding "Mikerho is awesome" to my quote for a week. Sorry, it's all I have to give.

Thanks to everyone else for trying.

Roger

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#10
In reply to #9

Re: Number Riddles

03/30/2010 3:34 PM

Thanks Roger,

I went through the usual stuff - factoring, identifying primes, and such, trying to locate patterns but was getting nowhere. I did notice that every 2 sequential numbers in the series were fairly close to each other in value with the first even and the second odd.

That's when I decided to do a search for "number pairs". It didn't take too long to find a Mathworld article on Amicable Pairs. Even though they didn't exactly match, there was a pattern: subtract 1 from the first AP number and 2 from the second. I am learning waaaaay too much about (at least to me) obscure number relationships.

Mike

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#12
In reply to #10

Re: Number Riddles

03/30/2010 4:18 PM

Nicely done.

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#11
In reply to #8

Re: Number Riddles

03/30/2010 4:15 PM

Good sleuthing!

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#13

Re: Number Riddles

03/30/2010 9:13 PM

Hey Roger, I liked you better when you were black!

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#15
In reply to #13

Re: Number Riddles

03/31/2010 7:08 AM

Understandable. Black is in vogue these days in america.

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#14

Re: Number Riddles

03/31/2010 7:02 AM

Roger and Mikerho proved americans are still fond of mathematics. Or are you guys immigrants from China or Russia ?

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The Engineer
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#16
In reply to #14

Re: Number Riddles

03/31/2010 9:23 AM

Now that you've (Dubai) bought Abu Dhabi, are you guys still going to lure Indians with false promises and then underpay them to build your indoor ski slopes in 120F degree heat.....or does it occur to you guys now that eventually oil will be worthless like Frankincense and you'll need a backup if you don't want to become Yemen? Don't get me wrong, I think it's quaint that Abu Dhabi decided to spend their oil money by building islands, but there might be better ways to spend that money, desalinization plants perhaps?

You're right about Americans and Math though......I forget, which part of the international space station did Dubai build?

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#17

Re: Number Riddles

03/31/2010 12:38 PM

The saddest part of all this, is it was solved by "looking" something up on the Internet. (And maybe created by looking something up on the Internet.)

Just think how much more Newton or DaVinci would have shone (not shown) if they would have had the Internet.

Which leads to the query... Is discovery simply pattern recognition? And how is the pattern recognizable if it represents a "new" pattern -- one not recognized before? I think the fix is in. There's something really fishy about scientific discovery. Like it's already there, just unfolding. Oh my ???, just like an unsolved series!!!

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#18
In reply to #17

Re: Number Riddles

03/31/2010 1:12 PM

You Wrote:"The saddest part of all this, is it was solved by "looking" something up on the Internet."

Yet somehow I suspect you would have been ok with it being solved by someone looking it up in a book, right? So apparently it's the method by which we attain knowledge that matters to you, not the actual knowledge.

You reference Newton and DaVinci with artificial forlornness, yet don't even have the wherewithall to get Leonardo da Vinci's name correct (Literally Leonardo of Vinci, as in his hometown).

Oh pseudo-intellectual, how fervently you pretend. Next time when you feel the need to overwhelm us with your intelligence, why don't you just solve the series. One remains unsolved, opportunity awaits.......

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#19
In reply to #18

Re: Number Riddles

03/31/2010 7:43 PM

I feel obligated to remind you that not everyone that posts here has the advanced intellectual skills that you possess. Some of us struggle with concepts that others seem to have a much better grasp of. Some here are just barely able to make feeble responses. Some have not even managed to overcome the difficult problems associated with registering or making up a name for CR4.

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#20
In reply to #19

Re: Number Riddles

04/01/2010 9:24 AM

I hardly think, in this day and age of wikipedia, that getting Leonardo da Vinci's name right indicates advanced skills......Registering for this site on the other hand.......

I guess I really can't stomach these "guests" who only show up to kill the fun. They put on airs of superiority and then can't even string two sentences together without completely deflating themselves. Of course the preening idiot guest has no idea till you point out their mistake, then they either disappear or come up with some imbecilic technical argument to try to save face. They're a scourge to CR4.

Ok, rant over.........or is it?

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#21
In reply to #20

Re: Number Riddles

04/01/2010 10:59 AM

Over? It's barely begun!

Hang on, isn't there already a thread (or dozen) on this very topic....?

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#22
In reply to #21

Re: Number Riddles

04/01/2010 12:33 PM

"Over? Did you say "over"? Nothing is over until we decide it is! Was it over when the Germans bombed Pearl Harbor? Hell no! "

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#23
In reply to #22

Re: Number Riddles

04/01/2010 1:17 PM

Cause when the going gets tough.............................................................

..........................................................................................................

..........................................................................................................

..........................................................................................................

..........................................................................................................

The tough get going

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#24
In reply to #22

Re: Number Riddles

04/06/2010 4:45 AM

Uummmm....In which alternative universe did the Germans bomb Pearl Harbour? I always thought the Japanese got the blame for that...

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#25
In reply to #24

Re: Number Riddles

04/06/2010 8:56 AM

In this alternative universe (at 1:35):

http://www.youtube.com/watch?v=Q47bpOCTcaY&feature=related

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