Bases > 1030 and k's > CK

[VBCurtis]

R2020 is complete to 40k. Primes since 30k:
1550 33104
786 37452
582 38650
519 39728

38 k's remain. The sieve is at 5T, with 40k-50k assigned to 4 cores. Work available from 50k upward.

[unconnected]

Originally Posted by VBCurtis

Anyone is welcome to test a particular k, or a range of n-values from my sieve. Please?

Ok, I'm in. Recently I've installed PRPNet and want to extensively test it.

[VBCurtis]

Excellent!
What range can I send you? There are 1400-1500 tests per n=1k range. Is 50k-60k a good place to start?
Note that I decided to place one core on k=9 tests, so that k is complete to almost 100k and won't be included in the sieve file I post here.

[sweety439]

The power-of-2 bases are more interesting, should we extend the power-of-2 bases to 2^16?

Sierpinski:

base  CK
2048  334
4096  1206
8192  83
16384 114
32768 10
65536 1221

Riesel:

base  CK
2048  29
4096  5264
8192  28
16384 59
32768 10
65536 6015

[unconnected]

Originally Posted by VBCurtis

Excellent!
What range can I send you? There are 1400-1500 tests per n=1k range. Is 50k-60k a good place to start?

Ok, looking forward to find 2-3 primes at this range.

[VBCurtis]

Attached is the R2020 sieve file from 50k to 100k. It is sieved to 5T depth.

I'm continuing to sieve, target 8-9T, so you should request a new file in 7-10 days if you decide to go higher than 60k.

[NHoodMath]

@sweety, R2048 has 2 k remaining, k=5 and k=11, both searched to very high limits over n=4M base 2 after accounting for the Riesel Sieve effort. Most other bases on your list have more k's remaining, all at similar limits based on the Riesel Sieve effort.

Also, S2020 update: k=474, 615, 684, 738, 874, 892 are at n=25K and released. No PRP for any of these k.

[sweety439]

Originally Posted by NHoodMath

@sweety, R2048 has 2 k remaining, k=5 and k=11, both searched to very high limits over n=4M base 2 after accounting for the Riesel Sieve effort. Most other bases on your list have more k's remaining, all at similar limits based on the Riesel Sieve effort.

Also, S2020 update: k=474, 615, 684, 738, 874, 892 are at n=25K and released. No PRP for any of these k.

Well, since these power-of-2 bases are searched to very high limits by Riesel/Proth Sieve effort, I think that CRUS can include them.

Also, I think that CRUS can include the k's > CK for all k<=1024 for all Riesel/Sierpinski bases b<=32. (e.g. R8, R9, R14, S8, S14, these would be interesting bases, e.g. I already tested R9 for k<=1024, only k=386 and k=744 remain, both at n=25K with no primes found)

[NHoodMath]

sweety, CRUS does not intend any work on k's > CK because the project's goal is simply to solve the 1st conjecture for each individual base. If k's > CK were included, decisions would have to be made as to up to what limit to search these extra k's to, whether it should be k's up to the second conjecture or k's<1024 like you searched, etc.

The mainland already has enough work for people with the right resources to do for millions of years in the future. We simply do searches on these bases and k's either as fun side projects or as a way for people without as much CPU power to have something to run on their machines.

[NHoodMath]

189*2020^20878+1
363*2020^22046+1

[VBCurtis]

Attached is the final sieve for R2020, sieved to 9T. The file covers n from 50k to 100k.

The desktop I was running this base on is overheating, so I haven't yet finished 40k-50k.