Discussion - Page 2

sweety439 · 2019-05-29, 10:52

Also, will you create the "Carol least" and the "Kynea least" pages? Like the Williams MP least and the Williams MM least pages.

Also the "Gen. Cullen least" and the "Gen. Woodall least" pages. (I know that the definition of Gen. Cullen number and Gen. Woodall number in this wiki does not have the condition that n>=b-1)

sweety439 · 2019-06-04, 14:14

Kar_bon, there are many known primes of the form (b+-1)*b^n+-1 and b^n+-(b+-1) for b<=16 that are not currently in the corresponding OEIS sequence, thus you can extend these OEIS sequences:

Quote:

For the n such that these forms is prime:
a1(b): numbers n such that (b-1)*b^n-1 is prime
a2(b): numbers n such that (b-1)*b^n+1 is prime
a3(b): numbers n such that (b+1)*b^n-1 is prime
a4(b): numbers n such that (b+1)*b^n+1 is prime (not exist when b == 1 mod 3)
a5(b): numbers n such that b^n-(b-1) is prime
a6(b): numbers n such that b^n+(b-1) is prime
a7(b): numbers n such that b^n-(b+1) is prime
a8(b): numbers n such that b^n+(b+1) is prime (not exist when b == 1 mod 3)

Using "------------" if there is currently no OEIS sequence, "xxxxxxx" if such n not exist (only for a4(b) and a8(b) for b == 1 mod 3)

b a1(b) a2(b) a3(b) a4(b) a5(b) a6(b) a7(b) a8(b)
2 A000043 ------------ A002235 A002253 A000043 ------------ A050414 A057732
3 A003307 A003306 A005540 A005537 A014224 A051783 A058959 A058958
4 A272057 ------------ ------------ xxxxxxx A059266 A089437 A217348 xxxxxxx
5 A046865 A204322 A257790 A143279 A059613 A124621 A165701 A089142
6 A079906 A247260 ------------ ------------ A059614 A145106 A217352 A217351
7 A046866 A245241 ------------ xxxxxxx A191469 A217130 A217131 xxxxxxx
8 A268061 A269544 ------------ ------------ A217380 A217381 A217383 A217382
9 A268356 A056799 ------------ ------------ A177093 A217385 A217493 A217492
10 A056725 A056797 A111391 xxxxxxx A095714 A088275 A092767 xxxxxxx
11 A046867 A057462 ------------ ------------ ------------ ------------ ------------ ------------
12 A079907 A251259 ------------ ------------ ------------ A137654 ------------ ------------
13 A297348 ------------ ------------ xxxxxxx ------------ ------------ ------------ xxxxxxx
14 A273523 ------------ ------------ ------------ ------------ ------------ ------------ ------------
15 ------------ ------------ ------------ ------------ ------------ ------------ ------------ ------------
16 ------------ ------------ ------------ xxxxxxx ------------ ------------ ----------- xxxxxxx

e.g. A217352: a7(6), 6^n-(6+1) is prime for n=2, 4, 6, 8, 9, 10, 15, 20, 46, 49, 61, 98, 110, 144, 266, 344, 978, 1692, 1880, 1924, 3142, 3220, 4209, 5708, 7064, 13465, 13858, 19474, 22666, but currently the sequence only lists the terms up to 7064.

Also, you can extended the sequence A122396 (exactly the Williams primes MM with prime b) up to n=50 and A087139 (exactly the Williams MP with prime b) up to n=91. (e.g. A087139(54) = 102979, since (251-1)*251^102978+1 is prime, and this number equals 251^102979 - 251^102978 + 1)

matzetoni · 2019-06-04, 21:26

https://www.rieselprime.de/ziki/Williams_prime_PP_3

Just wanted to let you know that I'm still searching on the numbers above.

I already finished to n=800k without new primes.

kar_bon · 2019-06-04, 22:10

Quote:

Originally Posted by matzetoni

https://www.rieselprime.de/ziki/Williams_prime_PP_3
Just wanted to let you know that I'm still searching on the numbers above.
I already finished to n=800k without new primes.

Thanks, marked WilliamsPP3 as reserved by you and added a history entry.

kar_bon · 2019-06-05, 08:06

@sweety439:
Plases do me a favour:
Take a range or a dozen bases, test them to n=10k, attach a file with the primes with the range done.

I will not update the Wiki every day for your small primes and no searched range given.
For example the next prime for MM 126 is less 10000.

kar_bon · 2019-06-06, 07:14

@sweety439

I've deleted your posts with results here!

This is the thread for the Wiki not for your results.
Please post those in your own threads.

sweety439 · 2019-06-09, 00:10

There are other sequences for Riesel/Proth prime small bases least n: (not only A119591 and A253178)

A119624 (Proth k=2, 0 for bases with no possible prime)

A088782 (Proth k=10, 0 for bases with no possible prime)

A098873 (Riesel k=2 for bases divisible by 6)

A098872 (Proth k=2 for bases divisible by 6)

A098876 (Riesel k=3 for bases divisible by 6)

A098877 (Proth k=3 for bases divisible by 6)

WGJC3107 · 2019-06-10, 14:39

Is it possible for you to add Operation Billion Digits as a project on the wiki?I can’t seem to find any mention of it.

Dylan14 · 2019-06-10, 14:42

Quote:

Originally Posted by WGJC3107

Is it possible for you to add Operation Billion Digits as a project on the wiki?I can’t seem to find any mention of it.

It is in the wiki, see here.

WGJC3107 · 2019-06-10, 15:25

Thanks, I didn’t realise there was a page there.
Is it possible for me to make an account on there to edit pages or is that just admin’s job?

henryzz · 2021-01-01, 19:30

Quote:

Originally Posted by kar_bon

Using here Google Chrome V87 64Bit on WIN10 shows the issues as in your image.
Pressing STRG+F5 to clear the cache solved the issue and all is displayed without errors.
Please test again.

Ctrl-F5 didn't do anything for me.

I have attached an image of the errors/warnings I am getting.

2019-05-29, 10:52	#12
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 2×7×263 Posts	Also, will you create the "Carol least" and the "Kynea least" pages? Like the Williams MP least and the Williams MM least pages. Also the "Gen. Cullen least" and the "Gen. Woodall least" pages. (I know that the definition of Gen. Cullen number and Gen. Woodall number in this wiki does not have the condition that n>=b-1) Last fiddled with by sweety439 on 2019-05-29 at 10:55

2019-06-05, 08:06	#16
kar_bon Mar 2006 Germany 3⁴×37 Posts	@sweety439: Plases do me a favour: Take a range or a dozen bases, test them to n=10k, attach a file with the primes with the range done. I will not update the Wiki every day for your small primes and no searched range given. For example the next prime for MM 126 is less 10000. Last fiddled with by kar_bon on 2019-06-06 at 08:32 Reason: addressed

2019-06-09, 00:10	#18
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 3682₁₀ Posts	There are other sequences for Riesel/Proth prime small bases least n: (not only A119591 and A253178) A119624 (Proth k=2, 0 for bases with no possible prime) A088782 (Proth k=10, 0 for bases with no possible prime) A098873 (Riesel k=2 for bases divisible by 6) A098872 (Proth k=2 for bases divisible by 6) A098876 (Riesel k=3 for bases divisible by 6) A098877 (Proth k=3 for bases divisible by 6) Last fiddled with by sweety439 on 2019-06-09 at 00:11

2019-06-10, 14:39	#19
WGJC3107 "Will Conway" May 2018 UK 70₁₀ Posts	Is it possible for you to add Operation Billion Digits as a project on the wiki?I can’t seem to find any mention of it. Last fiddled with by WGJC3107 on 2019-06-10 at 14:39

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2019-06-04, 21:26	#14
matzetoni Feb 2019 97 Posts	https://www.rieselprime.de/ziki/Williams_prime_PP_3 Just wanted to let you know that I'm still searching on the numbers above. I already finished to n=800k without new primes.

2019-06-06, 07:14	#17
kar_bon Mar 2006 Germany 101110110101₂ Posts	@sweety439 I've deleted your posts with results here! This is the thread for the Wiki not for your results. Please post those in your own threads.

2019-06-10, 15:25	#21
WGJC3107 "Will Conway" May 2018 UK 2×5×7 Posts	Thanks, I didn’t realise there was a page there. Is it possible for me to make an account on there to edit pages or is that just admin’s job?