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#617 |
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Apr 2010
Over the rainbow
2×1,303 Posts |
oops.. it is 68067066
MY MISTAKE |
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#618 |
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Sep 2010
Portland, OR
1011101002 Posts |
I randomly picked up 1000336, just because it was only at 86 digits in the DB, and was surprised to find that after adding ~4000 terms it terminated (actually it merged with 7596 a while before that). That's my first termination -- fun!
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#619 |
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Account Deleted
"Tim Sorbera"
Aug 2006
San Antonio, TX USA
17×251 Posts |
Congrats, I've added it to the Sequence terminations thread.
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#622 | |
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"Frank <^>"
Dec 2004
CDP Janesville
2·1,061 Posts |
Quote:
What was the other one? Clifford has you marked down with 138 on this sequence in Febrary of this year. |
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#624 |
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Account Deleted
"Tim Sorbera"
Aug 2006
San Antonio, TX USA
102538 Posts |
If I'm not mistaken, you have reason to be excited, because you can expect this one to last much longer. For the downdriver to break, the line must be 2*p with p=1 mod 4. So the chances of it breaking on any given line should be about the chance of the cofactor being prime and 1 mod 4. The chance of a random 140-digit number being prime is about 1/log(10^140), but it's odd which doubles the chance of being prime, but it must be 1 mod 4 which halves it back to 1/log(10^140). log(10^140) is about 332. By 130 digits, this is down to about 300. From very rough, in-my-head calculations, (and dependent on how much the sequence goes down - or up - during the downdriver run) I'd say there's only a 50% chance that it will stop within 200 indexes. It becomes more likely to break as it gets smaller and smaller.
Last fiddled with by Mini-Geek on 2010-11-01 at 13:30 |
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#625 |
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Apr 2010
Over the rainbow
2·1,303 Posts |
68067066 is at i5397 114 digits, 2*11 (downdriver)
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