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-   -   Reportable Twin Found (https://www.mersenneforum.org/showthread.php?t=10387)

Flatlander 2008-06-10 22:53

Reportable Twin Found
 
Hi

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

Chris

TimSorbet 2008-06-10 23:01

Judging by the twins already there, I'd guess:
[CODE]k*2^n-1 Twin (p)
k*2^n+1 Twin (p+2)[/CODE]Congrats, hope that works.

Flatlander 2008-06-10 23:12

That worked, thank you.

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

Comes in at 7th place :smile:

Flatlander 2008-09-12 11:46

Update
 
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.

Flatlander 2009-12-15 16:36

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. :smile:

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. :wink:

Found with NewPGen :bow: and the go-faster WinPFGW. :bow:

(A new proof-code, so there might be a delay before it makes the list.)

Puzzle-Peter 2010-11-12 15:01

[QUOTE=Flatlander;198924]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. :smile:

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. :wink:
[/QUOTE]

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 :smile:

rajula 2010-11-12 15:23

[QUOTE=Puzzle-Peter;236793]22835841624*7^54321+-1 is twin :smile:[/QUOTE]
Congratulations!
That's a nice twin. It also looks nice on its place as 7th largest twin (among all those dull power-two twins)!

Flatlander 2010-11-12 17:56

[QUOTE=Puzzle-Peter;236793]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 :smile:[/QUOTE]

Wow! That's [I]much [/I]bigger. How long did it take? :smile:

Puzzle-Peter 2010-11-12 19:27

[QUOTE=Flatlander;236816]Wow! That's [I]much [/I]bigger. How long did it take? :smile:[/QUOTE]

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.


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