## big 3-CPAP

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• Indeed,not all is rotten in the kingdom of Denmark. Jens, What about a k=20 closest n^2+1 twin primes ( 624 (mod 2210) +0/2) +
Message 1 of 2 , Nov 20, 2004
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Indeed,not all is rotten in the kingdom of Denmark.
Jens,
What about a k=20 closest n^2+1 twin primes
( 624 (mod 2210) +0/2) + -210,0,10,20,30,40,80,90,100,310
Minimal distance for k=20 ----->520
Easier than finding a 11-CPAP I think.

10 days with a cyrix 230 Mhz prp-ing and still not found the minimal k=10 n^2*1 closest twin primes (n<1.1*10^11)
Least k=8 is probably n=192308194 +0/2 +0,10,20,30

Mike should help me.

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• ... I have not checked but if 520 is minimal then it should be allowed for k=20. It seems _very_ hard. http://hjem.get2net.dk/jka/math/simultprime.htm does not
Message 2 of 2 , Nov 20, 2004
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Robin Garcia wrote:

> Indeed,not all is rotten in the kingdom of Denmark.
> Jens,
> What about a k=20 closest n^2+1 twin primes
> ( 624 (mod 2210) +0/2) + -210,0,10,20,30,40,80,90,100,310
> Minimal distance for k=20 ----->520

I have not checked but if 520 is minimal then it should be allowed for k=20.
It seems _very_ hard.
http://hjem.get2net.dk/jka/math/simultprime.htm does not even have an entry
for k=19.

> Easier than finding a 11-CPAP I think.

Far easier than finding a CPAP-11, but most things are.
http://hjem.get2net.dk/jka/math/cpap.htm says:
"With current methods it may take trillions of cpu GHz years according to the
people who found the only known CPAP-10."

If somebody feels _extremely_ lucky, I have a CPAP-11 searcher.
I haven't made an estimate yet but does it really matter?
At least it would be likely to set the record for most optimistic prime search
ever :-)
A partial result with a non-consecutive AP-6 would be an allowed record by my
rules. That may actually happen in this universe, but if the k=6 record is
targeted then there are better ways.

> 10 days with a cyrix 230 Mhz prp-ing and still not found the minimal k=10
> n^2*1 closest twin primes (n<1.1*10^11)
> Least k=8 is probably n=192308194 +0/2 +0,10,20,30
>
> Mike should help me.

I don't know whether you are using individual trial factoring but true sieving
is definitely recommended here. I don't have time to write the sieve.

--
Jens Kruse Andersen
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