Primo - Page 10

paulunderwood · 2019-06-18, 09:15

Quote:

Originally Posted by Chara34122

For now even (2^95369+1)/3 is not tested allthough it's much smaller than many other ECPP-tested numbers.

Yes. At 28,709 digits it should be done first.

I think we are going to need a Primo reservation thread in the "and now for something completely different" sub-forum. I hate to think people would be stepping on each other's toes when running such long tests.

DukeBG · 2019-06-18, 12:18

Quote:

Originally Posted by paulunderwood

Yes. At 28,709 digits it should be done first.

I think we are going to need a Primo reservation thread in the "and now for something completely different" sub-forum. I hate to think people would be stepping on each other's toes when running such long tests.

Maybe not there? Either a thread in FactorDB subforum or create a separate Primo (generic primality proving?) subforum. I would never figure out that there is "something different" subforum with it. It's not straightforward even trying to remember in which subforum this primo thread is.

edit: "generic primality proving" subforum could also house stuff like Luke W. Richard's threads about proving his numbers.

paulunderwood · 2019-06-18, 12:34

Quote:

Originally Posted by DukeBG

Maybe not there? Either a thread in FactorDB subforum or create a separate Primo (generic primality proving?) subforum. I would never figure out that there is "something different" subforum with it. It's not straightforward even trying to remember in which subforum this primo thread is.

edit: "generic primality proving" subforum could also house stuff like Luke W. Richard's threads about proving his numbers.

Sounds good. Maybe a "generic primality proving" sub-sub-forum with a "Primo Reservations thread" is the answer, which would be only for long runs.

sweety439 · 2019-06-18, 13:53

Some primes (such as 2^16389+67607) already have certificates, but have not been updated to factordb, also, I suggest to test (51^4229-1)/50 and (91^4421-1)/90, they are the smallest generalized repunit (probable) prime in bases 51 and 91, and they are also much smaller than many other ECPP-tested numbers (they have only 7220 and 8659 digits).

paulunderwood · 2019-06-18, 13:58

Quote:

Originally Posted by sweety439

Some primes (such as 2^16389+67607) already have certificates, but have not been updated to factordb, also, I suggest to test (51^4229-1)/50 and (91^4421-1)/90, they are the smallest generalized repunit (probable) prime in bases 51 and 91, and they are also much smaller than many other ECPP-tested numbers (they have only 7220 and 8659 digits).

What is stopping yourself doing these certifications?

The reservations page should be for *long* certifications.

sweety439 · 2019-06-18, 14:06

Quote:

Originally Posted by Batalov

Plenty of accessible unique numbers

Code:

Phi(34051,-10)    32033    Ray Chandler    04/2009
Phi(36547,-10)    29832    Ray Chandler    04/2009
Phi(35421,-10)    23613    Ray Chandler    04/2009
Phi(32481,10)     21600    Matthew Peets    11/2008
Phi(39855,-10)    21248    Ray Chandler    04/2009

You tested the unique primes Phi(n,10) for large n, how about test generalized unique primes Phi(n,2) for large n? like the probable prime (2^95369+1)/3, it is Phi(n,2) for n = 190738, see OEIS A072226 for the numbers n such that Phi(n,2) is prime. (of course, if n itself is also prime, then the corresponding primes are Mersenne primes, which can be proved to be prime easily)

sweety439 · 2019-06-18, 14:09

Quote:

Originally Posted by paulunderwood

What is stopping yourself doing these certifications?

The reservations page should be for *long* certifications.

2^16389+67607 already have certificate (see the post https://mersenneforum.org/showpost.p...66&postcount=1), but in factordb, this number is still "PRP", not "P", so please update the certificates of this number (and some other numbers) to factordb.

paulunderwood · 2019-06-18, 14:19

Quote:

Originally Posted by sweety439

2^16389+67607 already have certificate (see the post https://mersenneforum.org/showpost.p...66&postcount=1), but in factordb, this number is still "PRP", not "P", so please update the certificates of this number (and some other numbers) to factordb.

Do you know who certified this number and so holds the certificate?

sweety439 · 2019-06-18, 14:31

Quote:

Originally Posted by paulunderwood

Do you know who certified this number and so holds the certificate?

No

wpolly · 2019-06-18, 14:47

Quote:

Originally Posted by paulunderwood

Yes. At 28,709 digits it should be done first.

I think we are going to need a Primo reservation thread in the "and now for something completely different" sub-forum. I hate to think people would be stepping on each other's toes when running such long tests.

I've made a thread in that subforum. Feel free to move it to where you see fit.

sweety439 · 2019-06-18, 15:07

Quote:

Originally Posted by wpolly

I've made a thread in that subforum. Feel free to move it to where you see fit.

Well, (51^4229-1)/50 has only 7220 digits, so it should be done first.

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2019-06-18, 13:53	#103
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 5×7×83 Posts	Some primes (such as 2^16389+67607) already have certificates, but have not been updated to factordb, also, I suggest to test (51^4229-1)/50 and (91^4421-1)/90, they are the smallest generalized repunit (probable) prime in bases 51 and 91, and they are also much smaller than many other ECPP-tested numbers (they have only 7220 and 8659 digits).