Reportable Twin Found

Flatlander · 2008-06-10, 22:53

Hi

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

Chris

Mini-Geek · 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)

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

Flatlander · 2008-09-12, 11:46

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

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.)

Puzzle-Peter · 2010-11-12, 15:01

Quote:

Originally Posted by Flatlander

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

rajula · 2010-11-12, 15:23

Quote:

Originally Posted by Puzzle-Peter

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)!

Flatlander · 2010-11-12, 17:56

Quote:

Originally Posted by Puzzle-Peter

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?

Puzzle-Peter · 2010-11-12, 19:27

Quote:

Originally Posted by Flatlander

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.

2008-06-10, 22:53	#1
Flatlander I quite division it "Chris" Feb 2005 England 31·67 Posts	Reportable Twin Found Hi I have found a top 10 twin, what do I type in the prime submission box? Chris

2008-06-10, 23:01	#2
Mini-Geek Account Deleted "Tim Sorbera" Aug 2006 San Antonio, TX USA 2·3·23·31 Posts	Judging by the twins already there, I'd guess: Code: k2^n-1 Twin (p) k2^n+1 Twin (p+2) Congrats, hope that works.

2008-09-12, 11:46	#4
Flatlander I quite division it "Chris" Feb 2005 England 31×67 Posts	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.

2009-12-15, 16:36	#5
Flatlander I quite division it "Chris" Feb 2005 England 31×67 Posts	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: 233216243^53005+-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 k2^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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2008-06-10, 23:12	#3
Flatlander I quite division it "Chris" Feb 2005 England 4035₈ Posts	That worked, thank you. 108615*2^110342+-1 is twin prime! Comes in at 7th place