Bases 6-32 reservations/statuses/primes

[gd_barnes]

R24 is complete to n=100K; 23 primes were found for n=50K-100K shown below; 87 k's remain; base released.

Primes:

9234*24^50354-1
13661*24^51561-1
26721*24^53421-1
10894*24^55032-1
14656*24^58383-1
13311*24^59593-1
20699*24^59620-1
18891*24^59901-1
19259*24^60780-1
22839*24^63088-1
6466*24^64895-1
25509*24^66928-1
27199*24^69054-1
28891*24^72635-1
8301*24^77689-1
30574*24^77828-1
7849*24^78126-1
30061*24^81529-1
13869*24^81938-1
20654*24^90508-1
11834*24^93378-1
8186*24^95527-1
17966*24^98407-1

[Mathew]

I would like to reserve R19 to n=50K

[Cruelty]

Base=10 (Sierpinski + Riesel) tested till n=680000

[Batalov]

Originally Posted by Mathew

I would like to reserve S7 k=2M-3M to n=100K

It didn't show on the reservation pages, so I think you will find this one (I ran some speed tests on the 45 k's above 2M): 2836408*7^25425+1. If not, you can remove 1 k early.

(P.S. But you won't find 4243054*7^25761+1. I'll report the 3M-5M small hits in bulk later.)

[gd_barnes]

Originally Posted by Batalov

It didn't show on the reservation pages, so I think you will find this one (I ran some speed tests on the 45 k's above 2M): 2836408*7^25425+1. If not, you can remove 1 k early.

(P.S. But you won't find 4243054*7^25761+1. I'll report the 3M-5M small hits in bulk later.)

I'm not going to show either prime on the pages right now since there's no official search range and they will be reported in bulk later. Are you officially reserving k=3M-5M? If so, what depth?

[rogue]

Originally Posted by Cruelty

Base=10 (Sierpinski + Riesel) tested till n=680000

Those have been very stubborn bases.

[Batalov]

Originally Posted by gd_barnes

I'm not going to show either prime on the pages right now since there's no official search range and they will be reported in bulk later. Are you officially reserving k=3M-5M? If so, what depth?

I reserve 3-5M to n=50K.

[gd_barnes]

Originally Posted by Batalov

I reserve 3-5M to n=50K.

OK I'll now remove the k's that you found primes for.

[Mathew]

S7 k=2M-3M is complete to n=100K

8 primes found:

2836408*7^25425+1
2977878*7^33326+1
2926018*7^36778+1
2420808*7^37604+1
2610352*7^40091+1
2819152*7^51791+1
2923048*7^65520+1
2848906*7^92799+1

Results have been emailed

[Batalov]

Originally Posted by Batalov

I reserve 3-5M to n=50K.

12 primes:
4243054*7^25761+1
4160628*7^28689+1
3754374*7^29569+1
4973632*7^31867+1
4716306*7^32160+1
3384748*7^32382+1
4579464*7^32523+1
4680772*7^32927+1
4316314*7^34943+1
4548912*7^35379+1
3101454*7^41382+1
4235764*7^44218+1
I reserve 3-4M (only 5 k left in this range) to n=100K.

[gd_barnes]

R25 is complete to n=100K; 34 primes were found for n=50K-100K shown below; 167 k's remain; base released.

Primes:

146238*25^50417-1
124422*25^51664-1
310452*25^52422-1
345840*25^54415-1
41364*25^55237-1
6462*25^57623-1
153882*25^57733-1
103674*25^57906-1
329796*25^58756-1
328098*25^58828-1
326622*25^63756-1
113556*25^63813-1
125724*25^66829-1
59292*25^67346-1
204318*25^69863-1
109992*25^72392-1
153570*25^73317-1
310626*25^76657-1
154974*25^76871-1
213084*25^79623-1
266928*25^80982-1
228636*25^81908-1
125148*25^82397-1
41562*25^83969-1
242022*25^84027-1
173328*25^85712-1
270906*25^86352-1
268332*25^88694-1
4866*25^91807-1
156234*25^94372-1
126114*25^94427-1
132456*25^96536-1
341862*25^98185-1
218892*25^98771-1

Breakdown for the count of R25 k's that are being searched by the two projects:

CRUS: 95
Riesel base 5: 72
Total: 167

This is now the 2nd highest conjectured base to be fully searched to n>=100K and the highest > base 2.