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 M&M (Posted on 2004-11-26)

What comes next in the following sequence?

1212210202001, 224000000, 11333311, 623351, 290221, ...?

 See The Solution Submitted by Erik O. Rating: 2.0000 (2 votes)

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 re: solution, except that.. | Comment 2 of 4 |
(In reply to solution by Charlie)

I also noted that the sequence is 1,000,000 in different bases.  The tip off was the lack of large digits, and the greater number
of digits in the earlier members of the sequence.

But here's an excerpt from Charlie's print out:
"The representation of one million in odd bases, starting with 3 are:

`3            12122102020015            2240000007            113333119            178366111           62335113           29022115           14B46A17           BG939"`
`Note that the base 9 version of 1 million does not appear in the sequence.  So I believe there is another sequence within the sequence, that of the bases.`
`The bases used are 3,7,11,13.  So we need to figure the next base in the sequence; I think it is the sequence of odd primes, so I think the next base is 17.`
`If true then the next number in the sequence is BG939.`
` `

Edited on November 26, 2004, 9:00 pm
 Posted by Larry on 2004-11-26 20:57:40

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