Generalized Cullen / Woodall Coordinated Search - Reservations/Status

[Citrix]

The following bases have been completed. Will stop here.
No primes

Base	At
145	300000
209	200000
227	200000
229	200000
241	200000

[puadz]

Originally Posted by rogue

Which gaps/bases are you working on?

From 21-89, the bases can be classified to three: 1) no gaps, 2) gap in range from 4000 to some upper bound (around 26000-50000) but Steven Harvey's list reports a prime within the gap, and 3) gap and no prime reported. I mainly focused on (3) because after sampling some bases from (2) I did not find new primes aside from the ones in the list. These bases are the following: 22, 25, 31, 38, 39, 40, 41, 46, 47, 48, 53, 58, 59, 61, 65, 71, 77, 83. Found the following new primes:

6143*22^6143-1
4582*48^4582-1
5910*48^5910-1
14622*77^14622-1
4910*83^4910-1
5078*83^5078-1

[rogue]

Originally Posted by puadz

From 21-89, the bases can be classified to three: 1) no gaps, 2) gap in range from 4000 to some upper bound (around 26000-50000) but Steven Harvey's list reports a prime within the gap, and 3) gap and no prime reported. I mainly focused on (3) because after sampling some bases from (2) I did not find new primes aside from the ones in the list. These bases are the following: 22, 25, 31, 38, 39, 40, 41, 46, 47, 48, 53, 58, 59, 61, 65, 71, 77, 83. Found the following new primes:

6143*22^6143-1
4582*48^4582-1
5910*48^5910-1
14622*77^14622-1
4910*83^4910-1
5078*83^5078-1

Would you mind covering possibility 2? This would constitute a double-check. You probably won't find anything, but it shouldn't take very long and would avoid future questions.

[puadz]

Ok I am continuing the bases under case 2, namely the following: 21, 23, 24, 26-30, 32-37, 42, 44, 45, 50, 52, 54-57, 60, 62-64, 66-70, 81, 82, 84-89.

Additionally for my reserved Woodall bases 313 and 314, I have checked up to n=100k and found the following primes:

34682*313^34682-1
60626*313^60626-1

I will be releasing 313 and reserving 317 for Woodall. No prime found for 314 and will be checking to a higher n.

[rogue]

Taking Cullen base 3 to n=3e6.

[ryanp]

Originally Posted by rogue

Taking Cullen base 3 to n=3e6.

Mark, are you still working on Cullen bases 4-7? If not, I'll take them (not sure if the search limits here are up-to-date).

[rogue]

Originally Posted by ryanp

Mark, are you still working on Cullen bases 4-7? If not, I'll take them (not sure if the search limits here are up-to-date).

I do not have the horsepower to run that many bases to a high n. I expect my Cullen base 3 reservation to take me months.

The search limits should be up to date. Each has been tested to n=500000. I don't recall seeing anyone else reserve them.

[ryanp]

Originally Posted by rogue

I do not have the horsepower to run that many bases to a high n. I expect my Cullen base 3 reservation to take me months.

The search limits should be up to date. Each has been tested to n=500000. I don't recall seeing anyone else reserve them.

Ah, I was seeing different limits on rieselprime.de when I wasn't logged in.

I'll take Cullen bases 4,5,6,7 from n=500K to 2M each.

[lalera]

hi,
i checked gwb=106, n=1 to 12000
gwb=106, n=20, 270, 534 is prp

https://harvey563.tripod.com/GWlist.txt
gwb=106 n=170 is no prp !

[Grotex]

Taking Cullen base 102 to n=1e5

[lalera]

hi,
reserving gwb=106 n=12k to 100k