Bases 501-1030 reservations/statuses/primes

[gd_barnes]

S671 and S692 k=8 conjectures proven and added to the pages.

[rogue]

Originally Posted by gd_barnes

Mark,

k=28257 already had a prime at n=9968. So this makes 94 k's with primes and 740 k's remaining at n=15K. Is that stop-on-prime option working correctly? :-)

Also, you might want to check your sorting. I resorted it but you had it sorted in a left to right alphanumeric sort, which caused k's like k=1234, 12345, etc. to sort before k's like k=134, 145, etc.

I have been using PRPNet. I loaded a new server with a sieve file, but since I had started sieving weeks before I started testing the range I must not have removed that k before putting the sieve file into the new server.

I don't recall if I had any particular sorting criteria when I selected the primes. I'll remember to sort by k next time, actually sort by cast(k as unsigned) next time.

[rogue]

Tested to 100000 and released. No primes found. I have attached residues.

[rogue]

Primes found:

2*791^4-1
4*791^1-1
8*791^4-1

2*890^428-1
3*890^138-1
4*890^1-1
5*890^2-1
6*890^2-1
7*890^1-1
9*890^1-1

The other k have trivial factors. With a conjectured k of 10, both of these conjectures are proven.

[MyDogBuster]

Riesel Base 889
Conjectured k = 266
Covering Set = 5, 89
Trivial Factors k == 1 mod 2(2) k == 1 mod 3(3) and k == 1 mod 37(37)

Found Primes: 80k's - File attached

Remaining k's: 4k's - Tested to n=25K
14*889^n-1
86*889^n-1
194*889^n-1
216*889^n-1

k=144 proven composite by partial algebraic factors

Trivial Factor Eliminations: 47k's

Base Released

[MyDogBuster]

Riesel Base 894
Conjectured k = 284
Covering Set = 5, 7, 31, 283
Trivial Factors k == 1 mod 19(19) and k == 1 mod 47(47)

Found Primes: 246k's - File attached

Remaining k's: 10k's - Tested to n=25K
6*894^n-1
59*894^n-1
79*894^n-1
151*894^n-1
179*894^n-1
184*894^n-1
216*894^n-1
220*894^n-1
225*894^n-1
276*894^n-1

k=4, 9, 49, 64, 144, 169 proven composite by partial algebraic factors

Trivial Factor Eliminations: 20k's

Base Released

[gd_barnes]

Originally Posted by rogue

I have been using PRPNet. I loaded a new server with a sieve file, but since I had started sieving weeks before I started testing the range I must not have removed that k before putting the sieve file into the new server.

I don't recall if I had any particular sorting criteria when I selected the primes. I'll remember to sort by k next time, actually sort by cast(k as unsigned) next time.

Technically I don't need them sorted, although it looks a little neater if it is. I have a quick routine that I use to sort them descending by n-value to show on the pages, which can be quickly tweaked to sort ascending by k-value.

One way that it does help is to make it a little easier when referring back to them for historical reference.

More than anything, I just wanted you to make sure you checked any automated selection criteria or sorting routine. It sounds like nothing was amiss there.


Gary

[unconnected]

Riesel base 827, k=14

Primes:
2*827^2-1
4*827^1-1
6*827^9-1
10*827^1-1
12*827^1-1

Trivially factors: k=8
Base proven.

[gd_barnes]

S632 and S818 k=8 conjectures proven and added to the pages.

These two took some larger primes to prove them:
7*632^8446+1
4*818^7726+1

[rogue]

Primes found:
2*608^2-1
3*608^1-1
4*608^83-1
5*608^26-1
6*608^6-1

With a conjectured k of 8, k=7 remains and has been tested to n=25000.

Primes found:
2*956^18-1
3*956^143-1
4*956^1-1
5*956^192-1
7*956^1-1
8*956^4-1
9*956^309-1

With a conjectured k of 10, this conjecture is proven.

[henryzz]

Originally Posted by henryzz

reserving riesel 752
there are 13 ks remaining at n=2500 which i think is high for a conjecture of ~100

primes since 2.5k:
53*752^3958-1
66*752^4282-1
29*752^9580-1
68*752^12000-1

remaining:
8*752^n-1
11*752^n-1
22*752^n-1
58*752^n-1
59*752^n-1
64*752^n-1
65*752^n-1
95*752^n-1
97*752^n-1

all remaining ks tested to 30k and unreserved