Riesel Base 58
 

56501*58^10431-1
94611*58^10437-1
71306*58^10542-1
38916*58^10751-1
84330*58^10784-1
4608*58^10837-1
76041*58^10869-1

All k tested to 11000 and continuing

Statii
 

Here are some misc. statii on various "somewhat easy" Sierp bases that I reserved or failed to reserve but tested anyway (lol) that have not previously been reported:

Bases 34, 36, 38, 41, 44, 47, and 64 are complete and were easily proven.

Base 37 is complete to n=25K; 4 k's remain; unreserved.
Base 53 is complete to n=17.5K; 34 k's remain; still testing to n=25K.
Base 57 is complete to n=25K; 1 k remains; unreserved.
Base 72 is complete to n=25K; 2 k's remain; unreserved.
Base 73 is complete to n=14K; 4 k's remain; still testing to n=25K.

I'm now reserving all k's on Sierp bases 42 and 46 for n=15K-25K. Sieving on base 42 is complete. I am waiting on base 53 above to complete before starting.

This leaves me with the following Sierp reservations for bases 40-100:

Bases 42, 46, 53, 70, 73, 75, 80, 81, 83, 84, 86 thru 90, 92, 94, 98, 99, and 100.

Right now, I'm planning on taking them all to n=25K or proven but may reduce that to n=10K or 15K on some of the higher bases with more k's remaining. Many of them should be proven quickly.

Essentially what I'm doing here is checking Prof. Caldwell's math paper. I've found some problems in bases 48 and 53 so I want to see if the are any other problems.


Gary

Sierp bases 83, 84, 89, 90, 92, 94, and 98 are complete and were quickly proven.

Sierp base 73 is complete to n=25K. 2 k's remain. Unreserved.

Sierp base 53 is complete to n=20K. 34 k's remain. A very stubborn base with no primes found since n=14.4K. Still running to n=25K.

Reservations for Sierp bases > 32 remaining:
Bases 42 and 46 for n=15K-25K
Base 53 for n=20K-25K
Bases 70, 73, 75, 80, 81, 86, 87, 88, 99, and 100 up to n=25K.


Gary

Riesel base 58
 

64079*58^11080-1
3173*58^11116-1
76050*58^11122-1
32982*58^11175-1
29073*58^11226-1
55877*58^11304-1
46127*58^11432-1
60237*58^11451-1
65432*58^11455-1
12609*58^11496-1
92232*58^11580-1
81225*58^11621-1
46236*58^11650-1
90591*58^11835-1
15516*58^11850-1
18155*58^11853-1
57024*58^11880-1
23835*58^11884-1
43541*58^11890-1

Completed all k to 12000 and continuing

Riesel Base 58
 

83561*58^12109-1
27059*58^12176-1
55199*58^12351-1
53601*58^12387-1
55584*58^12437-1
31817*58^12483-1
6071*58^12538-1
68142*58^12650-1
76008*58^12652-1
42420*58^12662-1
84011*58^12665-1
33324*58^12683-1
34731*58^12689-1
37167*58^12726-1
75111*58^12733-1
84219*58^12787-1
39147*58^12822-1
105197*58^12899-1
40646*58^12914-1

Completed to 13000 and continuing

Sierp base 53 is at n=24K; 32 k's remain; continuing to n=25K.
Sierp base 75 is at n=10K; 9 k's remain; continuing to n=25K.
Sierp base 86 is complete to n=25K; only k=8 remains; unreserved.
Sierp base 87 is complete to n=25K; only k=32 remains; unreserved.
Sierp base 99 is complete to n=25K; only k=284 remains; unreserved.


In addition to bases 53 and 75, this leaves the following reservations for me for Sierp bases > 32 up to n=25K:

42, 46, 70, 80, 81, 88, and 100

Moving right along...:smile:


Gary

Riesel Base 72 complete to n=140k No primes

Unreserving

Riesel Base 45 primes
 

12950*45^10809-1 is prime! (79.7642s+0.0010s)
19252*45^11431-1 is prime! (82.8969s+0.0011s)
13456*45^56781-1 is prime! (12591.4884s+0.0080s)
7246*45^59101-1 is prime! (2713.5783s+0.0085s)
2500*45^64011-1 is prime! (3594.7002s+0.0098s)
1312*45^104779-1 is prime! (10554.4852s+0.0198s)

If I not mistaken, this leaves 11 k's.

Almost finished to 100K

Riesel Base 45
 

There are 11 k's remaining.
24, 2804, 4210, 6094, 10518, 13458, 17918 and 21274
all tested to n=100K

372, 10096, 15432
all tested to n=120K

All primes reported (11)

Results will be emailed shortly

Unreserving all

Sierp base 53 is complete to n=25K; 31 k's remain; unreserved.
Sierp base 75 is at n=18K; 5 k's remain; continuing to n=25K.
Sierp base 42 for n=15K-25K has just started. 49 k's are being searched.


Gary

[quote=MyDogBuster;164789]There are 11 k's remaining.
24, 2804, 4210, 6094, 10518, 13458, 17918 and 21274
all tested to n=100K

372, 10096, 15432
all tested to n=120K

All primes reported (11)

Results will be emailed shortly

Unreserving all[/quote]


A huge chunk done. Nice work Ian! :smile: