Bases 501-1030 reservations/statuses/primes

[Mathew]

R596
With CK=200
Is complete with no primes remaining.

Attached are the results

Edit: Nice work Mathew. This is a very high CK to prove without much testing above n=2500 (last prime found at n=3327)

[gd_barnes]

Originally Posted by mdettweiler

Reserving R986 as new to n=25K. (I've already tested it to 10K but one k stuck around, and I figured I should at least take it to 25K before giving up on it.)

Ian,

We didn't really talk about reservations only posts for CK<=200 like this one. This is the one remaining k=8 conjecture.

I'm still assuming that you will handle them, remove from untested thread, do HTML, etc. For a quick reference on the HTML, just do a find on "just started" on the pages.


Gary

[MyDogBuster]

We didn't really talk about reservations only posts for CK<=200 like this one. This is the one remaining k=8 conjecture.

I'm still assuming that you will handle them, remove from untested thread, do HTML, etc. For a quick reference on the HTML, just do a find on "just started" on the pages.

Seeing as my bases are so small, something like this will probably be done long before I can create a "just started" page.

I'll remove it from the untested thread and make a note to myself to look out for it.

[MyDogBuster]

Riesel Base 550
Conjectured k = 666
Covering Set = 19, 29
Trivial Factors k == 1 mod 3(3) and k == 1 mod 61(61)

Found Primes: 428k's - File attached

Remaining: 7k's - Tested to n=25K
57*550^n-1
153*550^n-1
225*550^n-1
227*550^n-1
324*550^n-1
581*550^n-1
609*550^n-1

k=144 proven composite by partial algebraic factors

Trivial Factor Eliminations: 228k's

Base Released

[rogue]

Primes found:

2*657^10-1
4*657^121-1
6*657^2-1
8*657^23-1
10*657^1-1
12*657^1-1
14*657^21-1
16*657^83-1
18*657^4-1
20*657^2-1

2*681^1-1
4*681^219-1
8*681^7-1
10*681^4-1
12*681^1-1
14*681^1-1
20*681^1-1
22*681^34-1
24*681^2-1
28*681^8-1
30*681^246-1

2*517^1-1
6*517^6-1
8*517^11-1
12*517^1-1
14*517^1-1
18*517^3-1
20*517^22-1
24*517^5-1
26*517^1-1
30*517^47-1
32*517^2-1

These are all proven. I have no more proven Riesel conjectures to post.

[MyDogBuster]

The following Sierp Bases were submitted to me by Mark (Rogue) as proven. He sent me the found primes for all. They will be removed from the untested thread.

k*517^n+1 (conjectured k of 36)
k*519^n+1 (conjectured k of 14)
k*521^n+1 (conjectured k of 28)
k*531^n+1 (conjectured k of 20)
k*532^n+1 (conjectured k of 40)
k*538^n+1 (conjectured k of 27)
k*549^n+1 (conjectured k of 34)
k*551^n+1 (conjectured k of 22)
k*557^n+1 (conjectured k of 16)
k*560^n+1 (conjectured k of 10)
k*562^n+1 (conjectured k of 12)
k*597^n+1 (conjectured k of 12)
k*611^n+1 (conjectured k of 16)
k*615^n+1 (conjectured k of 34)
k*623^n+1 (conjectured k of 14)
k*645^n+1 (conjectured k of 18)
k*681^n+1 (conjectured k of 32)
k*739^n+1 (conjectured k of 36)
k*759^n+1 (conjectured k of 56)
k*815^n+1 (conjectured k of 16)
k*849^n+1 (conjectured k of 16)
k*868^n+1 (conjectured k of 78)
k*888^n+1 (conjectured k of 13)
k*896^n+1 (conjectured k of 22)

[gd_barnes]

Mark,

As requested in the news thread, when people submit/Email a load of bases with CK<=200, we are asking that they also post which bases they are in these threads, one per line just as Ian has done above so that he doesn't have to do that. If the base isn't proven, then showing search limit and # of k's remaining is also needed for the applicable bases in the post. No more actual detail (primes/which k's are remaining) is needed in the posting.

We're trying our best to spread the work out among everyone here. :-)


Thanks,
Gary

[rogue]

Originally Posted by gd_barnes

Mark,

As requested in the news thread, when people submit/Email a load of bases with CK<=200, we are asking that they also post which bases they are in these threads, one per line just as Ian has done above so that he doesn't have to do that. If the base isn't proven, then showing search limit and # of k's remaining is also needed for the applicable bases in the post. No more actual detail (primes/which k's are remaining) is needed in the posting.

We're trying our best to spread the work out among everyone here. :-)

Fortunately I have giving everything I've done to Ian.

[MyDogBuster]

Riesel Base 611
Conjectured k = 118
Covering Set = 3, 17
Trivial Factors k == 1 mod 2(2) and k == 1 mod 5(5) and k == 1 mod 61(61)

Found Primes: 44k's - File attached

Remaining k's: 1k - Tested to n=25K
10*611^n-1

Trivial Factor Eliminations: 13k's

Base Released

k weight 1494

[Mathew]

R645
CK=18
complete to n=25K

k=16 remains

Attached are the results

Edit: Mathew k=16 is proven composite by partial algebraic factors (Factor 17)
You didn't have to test it. Conjecture is proven

[MyDogBuster]

Riesel Base 628
Conjectured k = 186
Covering Set = 17, 37
Trivial Factors k == 1 mod 3(3) and k == 1 mod 11(11) and k == 1 mod 19(19)

Found Primes: 104k's - File attached

Remaining k's: 1k - Tested to n=25K
149*628^n-1

k=36 proven composite by partial algebraic factors

Trivial Factor Eliminations: 78k's

Base Released

k weight 2313