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Old 2008-06-10, 22:53   #1
Flatlander
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"Chris"
Feb 2005
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Default Reportable Twin Found

Hi

I have found a top 10 twin, what do I type in the prime submission box?

Chris
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Old 2008-06-10, 23:01   #2
Mini-Geek
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"Tim Sorbera"
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Judging by the twins already there, I'd guess:
Code:
k*2^n-1 Twin (p)
k*2^n+1 Twin (p+2)
Congrats, hope that works.
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Old 2008-06-10, 23:12   #3
Flatlander
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That worked, thank you.

108615*2^110342+-1 is twin prime!

Comes in at 7th place
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Old 2008-09-12, 11:46   #4
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Since finding this twin, I have spent most of my CPU time searchng for a record twin < n=333,333.

So far I've found lots of Riesels, but no twin.
I'd would be nice to hold the record even if it's only for a short while.
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Old 2009-12-15, 16:36   #5
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Default Just for fun ...

Now that finding the world's biggest twin is (realistically) out of my reach, I decided to set myself a different challenge.

Thus:
23321624*3^53005+-1 is twin.

Buzz Aldrin was described by David Letterman as 'The first man named Buzz to walk on the moon.' Well, this is the world's biggest twin not of the form k*2^n+-1.

Found with NewPGen and the go-faster WinPFGW.

(A new proof-code, so there might be a delay before it makes the list.)
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Old 2010-11-12, 15:01   #6
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Quote:
Originally Posted by Flatlander View Post
Now that finding the world's biggest twin is (realistically) out of my reach, I decided to set myself a different challenge.

Thus:
23321624*3^53005+-1 is twin.

Buzz Aldrin was described by David Letterman as 'The first man named Buzz to walk on the moon.' Well, this is the world's biggest twin not of the form k*2^n+-1.
Funny idea! I decided to give it a try and after quite a number of CPU cycles I came up with

22835841624*7^54321+-1 is twin

Last fiddled with by Puzzle-Peter on 2010-11-12 at 15:01
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Old 2010-11-12, 15:23   #7
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Quote:
Originally Posted by Puzzle-Peter View Post
22835841624*7^54321+-1 is twin
Congratulations!
That's a nice twin. It also looks nice on its place as 7th largest twin (among all those dull power-two twins)!
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Old 2010-11-12, 17:56   #8
Flatlander
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Quote:
Originally Posted by Puzzle-Peter View Post
Funny idea! I decided to give it a try and after quite a number of CPU cycles I came up with

22835841624*7^54321+-1 is twin
Wow! That's much bigger. How long did it take?
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Old 2010-11-12, 19:27   #9
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Quote:
Originally Posted by Flatlander View Post
Wow! That's much bigger. How long did it take?
It took about 1.7M tests, each one about 80-140 seconds, depending on the machine. Plus a week of sieving on one quad.

I guess I was lucky. I had a minus prime each 1900 tests. So I expected 1900*1900~3.5M tests, but needed only half of that.

Last fiddled with by Puzzle-Peter on 2010-11-12 at 19:28
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