Carol / Kynea Primes - Page 5

Batalov · 2016-05-19, 01:58

Quote:

Originally Posted by rogue

Anyone know of a good place that I can host some web pages for free and not have to deal with ads?

You could make an additional page (or pages) at prothsearch.net, maybe?

a1call · 2016-05-19, 03:57

Quote:

Originally Posted by rogue

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?

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, (688^10160+1)^2-2 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

Congrats Serge for finding the near square prime (178^87525 - 1)^2 - 2 with 393937 decimal digits!

rogue · 2016-05-21, 19:41

Quote:

Originally Posted by paulunderwood

Congrats Serge for finding the near square prime (178^87525 - 1)^2 - 2 with 393937 decimal digits!

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.
(30¹⁵⁷⁹⁵⁰ + 1)² - 2 is prime

paulunderwood · 2016-05-23, 00:53

Congrats

2016-05-19, 12:46	#47
rogue "Mark" Apr 2003 Between here and the 1100011001011₂ Posts	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. Last fiddled with by rogue on 2016-05-19 at 12:47

2016-05-21, 18:28	#51
paulunderwood Sep 2002 Database er0rr 3,739 Posts	top5000 Congrats Serge for finding the near square prime (178^87525 - 1)^2 - 2 with 393937 decimal digits! Last fiddled with by paulunderwood on 2016-05-21 at 18:29

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2016-05-19, 13:37	#48
lalera Jul 2003 13·47 Posts	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

2016-05-19, 18:06	#49
wombatman I moo ablest echo power! May 2013 29×61 Posts	For b=26, no new primes through n=50k. Continuing on to n=100k.

2016-05-19, 21:12	#50
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 10010100000100₂ Posts	For b=688, (688^10160+1)^2-2 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.

2016-05-22, 01:05	#53
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 2²×23×103 Posts	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.

2016-05-23, 00:40	#54
Batalov "Serge" Mar 2008 Phi(4,2^7658614+1)/2 9476₁₀ Posts	And now, a Kynea prime for b=30, to make a nice pair. (30¹⁵⁷⁹⁵⁰ + 1)² - 2 is prime

2016-05-23, 00:53	#55
paulunderwood Sep 2002 Database er0rr E9B₁₆ Posts	Congrats