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Kaotis
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 Sequence   « on: Aug 23rd, 2004, 11:21pm » Quote Modify

I I'm not sure if it's hard enough to put it in the Medium forum.... So solve it!

6.28.469,8128,?
 « Last Edit: Aug 23rd, 2004, 11:22pm by Kaotis » IP Logged
Rezyk
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 Re: Sequence   « Reply #1 on: Aug 24th, 2004, 12:28am » Quote Modify

Quote:
 6.28.469,8128,?

"6,28,496,8128,?" would be much easier...
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rmsgrey
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 Re: Sequence   « Reply #2 on: Aug 24th, 2004, 3:44am » Quote Modify

In fact it would be perfectly simple, though I only ever got around to proving that a certain set of numbers all had a certain property, rather than proving that only those numbers do.
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ThudnBlunder
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 Re: Sequence   « Reply #3 on: Aug 24th, 2004, 11:22am » Quote Modify

Quote:
 So solve it!

:33550336

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THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
Kaotis
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 Re: Sequence   « Reply #4 on: Aug 29th, 2004, 1:28pm » Quote Modify

Yeap!
it's perfectly correct!
how long it's take you to figure this out?
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rmsgrey
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 Re: Sequence   « Reply #5 on: Aug 31st, 2004, 7:19am » Quote Modify

Since I'm only familiar with one property exclusively shared by 6 and 28 below 100, it wasn't too hard to make the leap and deduce that that was the property unifying the sequence. Had I bothered to calculate the next term, that would have taken far more time than recognising the sequence did. Had I attempted to prove that that was the next term, I'd probably still be working at it unless I either delegated much of the work to a computer, or got hit by an insight that escaped me last time I tackled the problem (over a decade ago)
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