[QUOTE=gd_barnes;193523]The pattern is that I don't see any primes for n<1000 nor for n>5000. lol Anyway, I'm assuming that this is for n=1000-5000. Correct? I also assume that I need to run the n<1000 primes myself. On base 3, I just have people send me the n>1000 primes because the file of smaller primes is too huge.

I don't know how big the file of n<1000 primes is. If it is < ~5 MB compressed, can you Email it to me? That'd save me a little time. For base 3, it's just too big but I'm thinking it wouldn't be so big here.


Gary[/QUOTE]

Hi Gary,

you spotted the situation well. I still have the zipped primes with n <= 1000, but I didn't doublecheck this part. It totals 6.6 MB. I can try to send/upload it. Whereto?

Willem.

[QUOTE=gd_barnes;193529]How high did you test it? The results only go up to n=180K but you had it reserved to n=200K.

Gary[/QUOTE]

Yup, I mean that I have completed it to 200k. I ran part of it backwards on a different PC, that is how the residues got lost.

Willem.

[CODE]167974*19^25035+1
363376*19^25160+1
353506*19^25174+1
65386*19^25180+1
568686*19^25352+1
443584*19^25417+1
56986*19^25420+1
174096*19^25492+1
3706*19^25538+1
706894*19^25791+1
705766*19^25798+1
[/CODE]

Riesel Base 87
 

Reserving Riesel Base 87 n=25K-100K

Sierp Base 75
 

Sierp Base 75 complete n=25K-40K

1 prime found and proven - Results attached - Base released

2500*75^38755+1

[quote=Siemelink;193496]Hi all,

here are the remaining k for riesel base 40. I have taken this to n = 5000, I won't go further. As a double check I've done the range n = 1 to n = 1000 twice. They really don't have primes. I did not double check those k that were prp with n < 1000. If you like, I can post the script I use to generate the k's.

Cheers, Willem.[/quote]

Very nice work Willem. I ran my usual double check for n=1-2000 on new bases. Everything balanced with your primes and k's remaining, which included removal of k's where k=m^2 and m==9 or 32 mod 41 (per the algebraic factors thread) and k's that are divisible by 40 where k-1 is composite.

To make it official: Riesel base 40 has 4306 k's remaining at n=5K. Details will be on the web pages in a little while.

Ian,

Riesel base 40 with a conjecture 2-1/2 times larger than Riesel base 39 has less k's remaining at n=5K than base 39 does at n=10K. It might be one worth taking to n=10K or 15K in the near future. It dropped nicely from 7095 k's remaining at n=2K to 4306 remaining at n=5K. It is clearly a fairly prime base.


Gary

Reserving Sierp bases 39 and 40 to n=10K.

With these two bases at n=10K and 5K respectively on the Riesel side and conjectures far smaller, it's time to get them going. On 2 cores, it should take 1.5-2 weeks at the most.

Once complete with this effort, only Sierp base 35 will remain to get all Sierp bases <= 50 (except 3/7/15) tested to n=10K. The only base remaining on the Riesel side to complete the same is base 40, which thanks to Willem's recent large effort on it, only needs to be tested from n=5K-10K.

With my next web pages update shortly, I'm going to post the general info. for Sierp bases 35, 39, and 40.


Gary

Sierp Base 72
 

Sierp Base 72 reserving all k's n=25K-40K

Just for fun, I took the first two Riesel base 40 k's to n=10K with PFGW to see if I could knock them out. Unfortunately, neither of them fell, so here's the results. (Note: no reservation.)

Riesel Base 72
 

Riesel Base 72 - Reserving from n=140K-n=400K

Sierp Base 72
 

Sierp Base 72 complete n=25K-40K

Nothing found - Results attached - Base released