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2,3,4,5,6,7,8,9,10,?

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Nabutovsky Dan

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Aug 25, 1992, 8:05:33 AM8/25/92
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What is the next item in the serie:
2, 3, 4, 5, 6, 7, 8, 9, 10, ?, ...

(Not 11)

Dan.

am...@athena.mit.edu

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Aug 25, 1992, 8:51:01 PM8/25/92
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How about 12?
We can say this is the series of successive
integers starting with 2, but with no numbers
that have repeat digits (hence 11 is out)

Probably wrong, though.

--
Amdee

Ibe veelig o ick!
By node eez oll chtufd ub!

Sam Atabaki

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Aug 25, 1992, 11:03:56 PM8/25/92
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Solution #1: any number is created by adding the previous
number and previous number's number of digits, ie 3 is made by
adding 2 and the number of digits in 2 (one).
So, the next number is 12 (10+2).

Solution #2: to find the next number add "1" if the current
number is less than 10, otherwise add X (or subtract, multiply by,
etc...). So you can choose any number that you wish to be the next
in the series.

Solution #3: to find the next number add "1" if the current
number does not contain a "0", otherwise add X (or subtract,
multiply by, etc...). Like #2 above you can choose any number
you wish to be the next in the series.

One can come up with hundreds of this kind of answers. Some
more examples:
To get the next number add "X" if condition is true, otherwise
add "1".
if current number has more than one digit
if current number has exactly two digits
if current number is divisible by 10
if current number contains both "1"s and "0"s

-Sam Atabaki

David Karr

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Aug 26, 1992, 2:30:20 PM8/26/92
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How about the rule, "a(i) is i+1 written in base 19-i."
Then the next item is eleven written in base nine, i.e. "12."

-- David Karr (ka...@cs.cornell.edu)


Nabutovsky Dan

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Aug 27, 1992, 2:21:28 AM8/27/92
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>In article <1992Aug25.1...@wisipc.weizmann.ac.il> I write:
> What is the next item in the serie:
> 2, 3, 4, 5, 6, 7, 8, 9, 10, ?, ...

This is a well-known serie. In fact, everybody knows it.
If I'll give you the next item, you should know all others immediately.
(Of course it is not 12).

All answers based on sophisticated mathematical rule are
certainly wrong.

Dan

Jaroslaw Tomasz Wroblewski

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Aug 27, 1992, 10:30:58 AM8/27/92
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In article <1992Aug27....@wisipc.weizmann.ac.il> da...@marva.wisdom.weizmann.ac.il (Nabutovsky Dan) writes:
:-) >>In article <1992Aug25.1...@wisipc.weizmann.ac.il> I write:
:-) >> What is the next item in the serie:
:-) >> 2, 3, 4, 5, 6, 7, 8, 9, 10, ?, ...
:-) >
:-) > This is a well-known serie. In fact, everybody knows it.
:-) >If I'll give you the next item, you should know all others immediately.
:-) >(Of course it is not 12).
:-) >
:-) > All answers based on sophisticated mathematical rule are
:-) >certainly wrong.

I see nothing sophisticated about the sequence of natural numbers j
such that 210*j+3709 is prime :-) I am sure people run into this sequence
every day :-)

Accordingly the next term is j=15.
We also get primes of this form for the following numbers:
q=19, k=21, a=22

Did I get it right ? *:o)
--

Jarek (Jaroslaw Tomasz Wroblewski) , E-mail j...@math.Princeton.EDU

Saouter Yannick

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Aug 27, 1992, 6:16:50 PM8/27/92
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Isn't it the :

- list of numbers x>1 for which x^11 = 1 (mod 11) so 12,
- list of numbers superior to 1 which does not contain a `l` in their spelling so 12,
- list of numbers x>1 for cos(2 \pi / x) has an algebaric expression so 12,
- list of numbers x>1 which are equal to the sum of their components, so no other term,
- list of all numbers x>1 excepting those which are prime and non-Mersenne prime so 12.

sao...@sigle.irisa.fr

Andrew J. Wilkinson

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Aug 28, 1992, 9:22:35 AM8/28/92
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da...@marva.wisdom.weizmann.ac.il (Nabutovsky Dan) writes:

> Dan


How about : Jack
Followed by : Queen, King, Ace?

Andy.

Corby Anderson

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Sep 7, 1992, 10:57:09 PM9/7/92
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The next item in the series is J! This is followed by Q and K.

Corby
co...@ssf-sys.dhl.com

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