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-   -   Carol / Kynea Primes (https://www.mersenneforum.org/showthread.php?t=21251)

Batalov 2016-05-19 01:58

[QUOTE=rogue;434332]Anyone know of a good place that I can host some web pages for free and not have to deal with ads?[/QUOTE]
You could make an additional page (or pages) at prothsearch.net, maybe?

a1call 2016-05-19 03:57

[QUOTE=rogue;434332]Did you generate a list of primes for the bases? If so, I will likely need to offload the list elsewhere. Anyone know of a good place that I can host some web pages for free and not have to deal with ads?[/QUOTE]

If interested, I can provide you with a subdomain from one of my domains.
I have 19.lc registered.
Choose a subdomain as short as you would like and I will set it up.

Notes:

* I can not guarantee a delivery time
* I can not guarantee duration of service

So if interested please let me know and make sure you have backups.

rogue 2016-05-19 12:46

Thanks for your suggestions. MIke (Xyzzy) has offered me space here at mersenneforum, which is the best of all worlds. I had considered prothsearch, but I don't own the domain and with Ray being gone and Wilfred getting older, I don't know how much longer that domain will be around. Also, most of the work is being done by PrimeGrid, so I have been considering locking users from making reservations.

lalera 2016-05-19 13:37

hi,
here are the results for carol / kynea
b=66, n=1000 to 30000
(66^1751+1)^2-2
(66^1902-1)^2-2
(66^9832+1)^2-2
(66^28522+1)^2-2
b=68, n=1000 to 30000
(68^2272-1)^2-2
(68^2634-1)^2-2
(68^2960+1)^2-2
(68^3014+1)^2-2
(68^16522-1)^2-2

wombatman 2016-05-19 18:06

For b=26, no new primes through n=50k. Continuing on to n=100k.

Batalov 2016-05-19 21:12

For b=688, [URL="http://factordb.com/index.php?id=1100000000839008688"](688^10160+1)^2-2[/URL] is prime!

For b<=2000, only b=640 and b=1656 remain without known primes.
I reserve b=1656 to n<=20000 and release b=688 at n=11000.

paulunderwood 2016-05-21 18:28

top5000
 
Congrats Serge for finding the near square prime [URL="http://primes.utm.edu/primes/page.php?id=121680"](178^87525 - 1)^2 - 2[/URL] with 393937 decimal digits! :smile:

rogue 2016-05-21 19:41

[QUOTE=paulunderwood;434582]Congrats Serge for finding the near square prime [URL="http://primes.utm.edu/primes/page.php?id=121680"](178^87525 - 1)^2 - 2[/URL] with 393937 decimal digits! :smile:[/QUOTE]

I was wondering. Chris Caldwell's page sent an automated e-mail for cksieve as a program and I wasn't the one to do it.

Thanks Serge and congrats.

Batalov 2016-05-22 01:05

Sometime last week I've thought about attacking a recordable (Top5000) C-K prime.
I've sieved b=10, 20, 30, 40 far enough, but altogether they didn't have enough sub-1-hour candidates after sieve to warrant a success (After a certain size candidates start taking more than an hour each, and then quickly 1.5 then 2 hours.) So to bridge the path to certain success, I additionally sieved 102<=b<=202 (but not powers) to 1e11 -- for a small slice just above 389K decimal digits. Then for technical reasons I chose only 36 thickest bases and sieved them up to 2e12. Then I merged all files and sorted by size and started ~ a hundred PFGW instances. This morning a prime popped up for b=178.

I will test through the weekend, then stop, and will post all tested ranges explicitly; they can be added to control tables in square brackets as some Proth and Riesel tables on certain sites are recorded.

Batalov 2016-05-23 00:40

And now, a Kynea prime for b=30, to make a nice pair.
(30[SUP]157950[/SUP] + 1)[SUP]2[/SUP] - 2 [URL="http://primes.utm.edu/primes/page.php?id=121686"]is prime[/URL]

paulunderwood 2016-05-23 00:53

Congrats :banana:


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