15847[PrimeNumbers] Re: Largest CPAP differences
- Dec 31, 2004Jim Fougeron wrote:
> I have followed Jens lead, and on Christmas day, discovered aCongratulations.
> CPAP-5 with a gap of 2310. This number is:
> Now, we need a CPAP-6 :) Any takers?
Thanks for your interest in the new record category.
http://hjem.get2net.dk/jka/math/cpap.htm#difference is updated.
Note that it is also easily the second largest overall CPAP-5, only beaten by
Jim himself who has the whole top-10.
For a CPAP-6 with difference 2310, I think I would search around 560 digits.
For comparison, the largest known 6 simultaneous primes is a 418-digit CC-6 by
Dirk Augustin: http://hjem.get2net.dk/jka/math/simultprime.htm#records
Around 16 AP-6's at 560 digits are expected before hitting a CPAP-6 with my
It looks pretty hard. I estimate perhaps 5 GHz years if my deep sieve is
improved to manage sparse forms better.
I don't have plans to make such a hard CPAP-6 search.
Jens Kruse Andersen
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