hi,
gcb=23, n=200k-400k done
no prp found
gcb=23 released

Cullen 261 taken to 100e3, no prime.
taking b263+

b263+ taken to 100k, no prime,
taking b265+, b267+ and b269+

Cullen bases 70, 71, 72, 74, 75, 76, 77, and 78 completed to n=200000 and released.

132339*72^132339+1

is the only new prime.

Hi. I am new here and would like to participate. With my limited computing power, I would like to contribute and search on Woodall bases with no primes yet. I would like to reserve Woodall bases 313 and 314.

To familiarize with the flow, I tested on some smaller b and n values and compare with known results. In the process, I stumbled upon a relatively tiny unlisted prime:
4910*83^4910-1

[QUOTE=puadz;632464]Hi. I am new here and would like to participate. With my limited computing power, I would like to contribute and search on Woodall bases with no primes yet. I would like to reserve Woodall bases 313 and 314.

To familiarize with the flow, I tested on some smaller b and n values and compare with known results. In the process, I stumbled upon a relatively tiny unlisted prime:
4910*83^4910-1[/QUOTE]

I verified that is prime. I have no idea how it was missed.

Per Steven Harvey's website I had originally tested to n=4000, but I see no record of it being tested between n=4000 and n=26000. In fact, most Woodall bases seem to have big gaps.

I recommend that you work on filling in those gaps or double-checking bases < 100 to n=100000 or higher.

[QUOTE=rogue;632465]I verified that is prime. I have no idea how it was missed.

Per Steven Harvey's website I had originally tested to n=4000, but I see no record of it being tested between n=4000 and n=26000. In fact, most Woodall bases seem to have big gaps.

I recommend that you work on filling in those gaps or double-checking bases < 100 to n=100000 or higher.[/QUOTE]

Just found out about the gaps after seeing Steven Harvey's completed ranges. I will work on these gaps and report back.

b265+, b267+ and b269+ taken to 100e3, one prime found
[quote]
49302*265^49302+1 is 3-PRP! (92.1464s+0.0010s)
[/quote]
taking b271+,b272+,b275+ and b277+

I will double-check Woodall bases from 90 to 100 to n=1e5 since we know there are gaps in those bases. I'm already sieving the same bases for Cullen and since gcwsieve can handle both concurrently, it should save time with sieving.

hi,
gwb=101, n=250k to 400k done
no prp found
continuing

[QUOTE=puadz;632490]Just found out about the gaps after seeing Steven Harvey's completed ranges. I will work on these gaps and report back.[/QUOTE]

Which gaps/bases are you working on?

Cullen bases 80, 82, 83, 84, 85, 86, 88 are double-checked and complete to n=200000.
Woodall bases 82, 84, 85, 86, 88 are double-checked and complete to n=200000 with the exception of the ranges below n=26000 that are not complete per Steven Harvey's website. AFAICT all of the bases from 80 thru 89 have gaps below n=26000.

These are the new primes:

167670*82^167670-1
177015*82^177015+1
128867*84^128867+1
198291*86^198291+1

b271+,b272+,b275+,b277 checked upto 100k, no prime found

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

Base At
145 300000
209 200000
227 200000
229 200000
241 200000
[/CODE]

[QUOTE=rogue;633241]Which gaps/bases are you working on?[/QUOTE]

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:
[CODE]
6143*22^6143-1
4582*48^4582-1
5910*48^5910-1
14622*77^14622-1
4910*83^4910-1
5078*83^5078-1
[/CODE]

[QUOTE=puadz;633555]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:
[CODE]
6143*22^6143-1
4582*48^4582-1
5910*48^5910-1
14622*77^14622-1
4910*83^4910-1
5078*83^5078-1
[/CODE][/QUOTE]

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.

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:
[CODE]
34682*313^34682-1
60626*313^60626-1
[/CODE]

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

Taking Cullen base 3 to n=3e6.

[QUOTE=rogue;633588]Taking Cullen base 3 to n=3e6.[/QUOTE]

Mark, are you still working on Cullen bases 4-7? If not, I'll take them (not sure if the search limits [URL="https://www.rieselprime.de/ziki/Cullen_prime_table"]here[/URL] are up-to-date).

[QUOTE=ryanp;633611]Mark, are you still working on Cullen bases 4-7? If not, I'll take them (not sure if the search limits [URL="https://www.rieselprime.de/ziki/Cullen_prime_table"]here[/URL] are up-to-date).[/QUOTE]

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.

[QUOTE=rogue;633621]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.[/QUOTE]

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.

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

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

Taking Cullen base 102 to n=1e5

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