Thread: Octoproths
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Old 2005-04-17, 12:25   #55
Dougy
 
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Aug 2004
Melbourne, Australia

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Default Organised search.

Firstly it seems that the 'heavy' bases are more likely to produce an octo than the 'light' bases. So n=52, 67, 70, 82, 97, 112, 115, 142, ... (bases with weight >= 40) would be a good place to start searching. With this reasoning (whether sound or not) I discovered:
65498827395 67

...

In an attempt to make this search a bit more organised I've created a text file listing what has already been searched. I'll try to update this regularly, and as often as possible.
Btw, tell me if I've missed anything or you've searched a region more than what is listed.

In this file, a typical base would look like this:

<k> <n> <discoverer>
<k> <n> <discoverer>
...
<k> <n> <discoverer> (searched/2^n)

if an octo exists, and

<n> (searched/2^n)

otherwise. This way we can hopefully not redo others work.

PS: If I haven't missed any, we now know of 97 octoproth-primes. Hopefully we'll make the 100 mark soon.

PS2: Most wanted octoproths-primes: base 32, 63.
Attached Files
File Type: txt octoproth.txt (8.0 KB, 194 views)
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