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Old Dec23-08, 05:32 PM                  #1
davee123

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Another Sequence

What's the next number?

1, 3, 11, 13, 17, 23, 73, ?

DaveE
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Old Dec30-08, 10:56 PM                  #2
davee123

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Re: Another Sequence

Alright, more numbers in the sequence:

1, 3, 11, 13, 17, 23, 73, 101, 103, 111, 113, 117, 123, 173, 323, 373, ?

DaveE
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Old Jan1-09, 03:17 AM       Last edited by mabs239; Jan1-09 at 04:16 AM..            #3
mabs239

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Re: Another Sequence

A really teasing sequence.

Though I am trying to figure out for so many days, but failed. Anyway I would make a blind guess:


No, wait a minute:

...1103, 1111, 1113, 1117, 1123, 1173, 1323, 1373, 3323, 3373, 11373, 13323, 13373, 17373, 23323, 23373, 73373, 101373, 103323, 103373, 111373, 113323, 113373, 117373

Not my own work ;)

Every next number is the one next with more number of letters.

It added to the confusion that the first sequence contains prime numbers except the first one.
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Old Jan5-09, 10:34 AM                  #4
davee123

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Re: Another Sequence

Originally Posted by mabs239 View Post
Every next number is the one next with more number of letters.
Ding!

Originally Posted by mabs239 View Post
It added to the confusion that the first sequence contains prime numbers except the first one.
I didn't even notice that, but that's an interesting point! The first 9 numbers are all coincidentally prime, excluding 1, which is sort of a prime number anyway on certain technicalities.

I think I had heard some variant on the sequence before, but I couldn't seem to find it, so I figured it'd be worth posting...

DaveE
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Old Jan6-09, 02:24 PM                  #5
chaoseverlasting

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Re: Another Sequence

Originally Posted by davee123 View Post
I didn't even notice that, but that's an interesting point! The first 9 numbers are all coincidentally prime, excluding 1, which is sort of a prime number anyway on certain technicalities.

DaveE
Thats what lead me off. I was wondering how primes fit into all of it.
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