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Old 2010-03-23, 03:31   #573
gd_barnes
 
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Quote:
Originally Posted by MyDogBuster View Post
Sierp Base 95
Conjectured k = 41354
Covering Set = 3, 7, 13, 229
Trivial Factors k == 1 mod 2(2) and k == 46 mod 47(47)

Found Primes: 19546k's - File attached

Remaining k's: 531k's - File attached - Tested to n=25K

Trivial Factor Eliminations: 440k's

MOB Eliminations: 159k's - File attached

Base Released
Now, THAT is an ugly base! Thanks for taking it on.

Nice new avitar. Is it a pic of your former dog?
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Old 2010-03-23, 03:51   #574
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Nice new avitar. Is it a pic of your former dog?
Yup, that was Buster.

S95 was getting worse and worse as time went by. Glad it's over.
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Old 2010-03-24, 07:33   #575
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Default Riesel Base 35

currently at n=15k: since last report 190 new PRPs found. all proven prime with -tp option.

i've inlcuded the updated page for Gary, too.
Attached Files
File Type: zip R35.zip (9.0 KB, 44 views)
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Old 2010-03-24, 08:09   #576
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Originally Posted by kar_bon View Post
currently at n=15k: since last report 190 new PRPs found. all proven prime with -tp option.

i've inlcuded the updated page for Gary, too.
Great. It's nice to see that one pushed a littler higher. Thanks for the page update. That helped a lot.
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Old 2010-03-24, 12:07   #577
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R78 is complete to n=25K; 49 primes found for n=10K-25K; 98 k's remaining; base released
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Old 2010-03-25, 02:01   #578
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Default R96

Reserving R96 as new to n=25K.

There are only 298 k's remaining after the script run at n<=1K, the results are attached. Not too shabby. Going on to n=25K.
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Old 2010-03-25, 03:07   #579
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k=484 is eliminated by partial algebraic :-)

Otherwise, all matches so far. Sieved to 1e9 and ...off we go.
I'll report prelim status at 10K.

Thanks, -S

P.S. 96 mod 97 for your "f generalizations", Gary! might the first one of the kind: Both k and b are -1 mod 97, so for the odd n's, divisible by 97, for evens diff.of squares.

Last fiddled with by Batalov on 2010-03-25 at 03:20
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Old 2010-03-25, 03:35   #580
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Quote:
Originally Posted by Batalov View Post
k=484 is eliminated by partial algebraic :-)

Otherwise, all matches so far. Sieved to 1e9 and ...off we go.
I'll report prelim status at 10K.

Thanks, -S

P.S. 96 mod 97 for your "f generalizations", Gary! might the first one of the kind: Both k and b are -1 mod 97, so for the odd n's, divisible by 97, for evens diff.of squares.
I was aware of that one and since you reserved it, I was in the process of updating the pages to show both kinds of partial algebraic factors when I saw your post here.

You are correct, I believe this is the first one where a factor of 97 combines with algebraic factors to knock out some k's; both the "new" (factor 97 on even n's) and "old" (factor 97 on odd n's) kind too.

After seeing the factorization last night as I was running it up to n=2500, if no one had taken it by Friday, I was going to take it because I was curious about it. It doesn't surprise me that it caught your interest.


Gary
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Old 2010-03-25, 04:55   #581
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Quote:
Originally Posted by Batalov View Post
k=484 is eliminated by partial algebraic :-)

Otherwise, all matches so far. Sieved to 1e9 and ...off we go.
I'll report prelim status at 10K.

Thanks, -S

P.S. 96 mod 97 for your "f generalizations", Gary! might the first one of the kind: Both k and b are -1 mod 97, so for the odd n's, divisible by 97, for evens diff.of squares.
Interestingly your "new" kind of algebraic factorization occurs for k=6*m^2 and m==(9 or 88 mod 97). But since k=6*9^2=486 has a trivial factor of 5 and k=6*88^2=46464 is above the conjecture, it has no effect here. All other attempts except k=484 at the "old" algebraic factorization also yield k's with trivial factors so k=484 is the only one that can be removed. The 1st posting here as well as the generalizing algebraic factors thread have now been updated.


Gary

Last fiddled with by gd_barnes on 2010-03-25 at 04:56
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Old 2010-03-25, 07:17   #582
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KEP is releasing base S63. There are 237036 k's remaining at n=1K. They are too numerous to show on the pages but are available upon request.
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Old 2010-03-26, 22:39   #583
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Quote:
KEP is releasing base S63. There are 237036 k's remaining at n=1K. They are too numerous to show on the pages but are available upon request.
Gary, why don't you send me the file. I'll take a look at it and then make a decision on any reservation.
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