Hi Roger,

My top picks (in order, starting with what I want most) for challenges for 2020 are;

GFN-17LOW
PPS-DIV
GCW
TRP
SR5
ESP
SoB

While GFN-17LOW isn't technically GPU-exclusive, it is similar to AP27 with regards to the efficiency of CPU vs. GPU applications, so I think it counts. I'd love to see that leading edge close in on MEGA.

Also; next year is probably the last time that a PPS-DIV challenge will be possible, so we might as well :)

Regards,
Kellen

My thoughts:

Definitely a PPS-DIV challenge. Lets' push that along. Later in the year might be better, since some crunchers may drop off o\fr PPS-DIV as tasks get longer.

Assuming AP27 is to continue, an AP27 challenge.

A GFN challenge on the ones that haven't found a prime yet == currently 21-Do You Feel Lucky. I suggest making this flexible -- if we find a GFN-22 before the challenge, GFN-22 wouldn't be included in the challenge.

Also TRP, GCW, and SR5.
____________

SOB
GCW
PPS-Mega
CUL
TRP
PSP
GFN18
____________

if we find a GFN-22 before the challenge, GFN-22 wouldn't be included in the challenge.

GFN18/19/20/21/22 (GPU)
PPS-DIV
PPS-Mega
SR5
321
TRP
ESP
GCW
SGS Twin prime search

My thoughts:

* Cullen
* SR5
* SGS
* TRP later
* Woodall later
* GFN15~18 (based on Mike's post).

Not:

* SOB
* PPS sieve.

Can we do "GFN 2020 olympics" ?
found one GFN15 -> bronze medal
found one GFN16 -> silver medal
found one GFN17 or higher -> gold medal

As nice as it would be to see 1 of the conjectures reach n=50M, as mentioned earlier, it would really be much more effective to sieve ESP, PSP, SOB and TRP together for n>50M.

In order to reduce the amount of k´s remaining at the time that sieving has to start (preferably once k=3 sieving ends) it IS still MY STRONG RECOMMENDATION that as many long challenges as possible is targeting TRP.

So please run an at least 2 or 3 weeks long challenge on TRP and maybe in return cash out a TRP prime found during a challenge :)

Thank you.

Suggestion for a name: Samuel Yates's 101st birthday

Yates apparently started the list of Largest Known Primes. He is also known for work on unique primes, and 101 is one of them.

/JeppeSN

I'll crunch whatever is decided.

However, my strong preference is to avoid summer in Australia as the extra electricity required to run the air conditioning 24/7 is costly when all my computers and GPUs are working at max power.
____________

SR5 Primes found in 2018 & 2019 according to the Welcome to the Sierpinski / Riesel Base 5 Project thread


322498*5^2800819-1 found by Jordan Romaidis on 23 June 2019 | Official Announcement
88444*5^2799269-1 found by Scott Brown on 21 June 2019 | Official Announcement
138514*5^2771922+1 found by Ken Ito on 26 April 2019 | Official Announcement
194368*5^2638045-1 found by Honza Cholt on 15 August 2018 | Official Announcement
66916*5^2628609-1 found by Honza Cholt on 29 July 2018 | Official Announcement
81556*5^2539960+1 found by Jiří Bočan on 20 June 2018 | Official Announcement
327926*5^2542838-1 found by Seiya Tsuji on 19 June 2018 | Official Announcement



Based on this I'd suggest a Summer Solstice SR5 Challenge.

If WWWW project(s) is (are) eventually brought to Boinc, I'd love to see a challenge with it.

____________
676754^262144+1 is prime

GFN-21: No GFN-21 prime discovered yet
PPS-Div: Newest LLR subproject
321-Sieve: Newest sieve subproject
SoB: Conjecture
ESP: Conjecture
PSP: Conjecture
SR5: Conjecture
TRP: Conjecture
CUL: Last Cullen prime discovered in 2009

My personal picks for 2020 challenges:

1. SoB
2. PSP
3. TRP
4. ESP
5. SR5
6. PPS-Div
7. GFN-17 Low
8. GFN-21

What about a challenge that combines CPU and GPU projects, e.g. LLR + GFN?

Something like:
* MEGA Challenge -> PPS-MEGA + GFN-17-MEGA
* Top10 World Record Challenge --> SOB + GFN-21,22,DYFL
* 'Small ones' Challenge --> SGS + GFN-15
* ...

Or would the administrative effort too high?

A.

Let's make 2020 the year of conjectures, all conjecture challenges.

What about 20 days challenge?
____________

I like the idea of a challenge on the conjectures.
One or a few of the lower GFN challenges would be ok for the GPU challenge. It would be good for this one to occur in Autumn/Spring to avoid the hot summer in either hemisphere with the GPU's.

You have my vote for an exclusive conjecture challenge year!

1. SGS - a 3 day challenge ( I miss three day challenges )
2. TRP
3. SoB
4. ESP
5. PSP

After that I'm good with whatever. I do suggest fewer days total. I am feeling rather burned out right now, especially with this three day turnaround.

Cheers,
g
____________
Badge score: 5*1 + 6*1 + 7*9 + 8*3 + 10*3 + 11*1 + 12*1 + 13*1 = 164

Thanks for your feedback on my "LLR+GFN combined challenge" @Michael and @dthonon. That makes sense.

Here are some ideas for the 2020 challenge series:

* conjectures: (all 5 projects, or at least 4 of them)

* GPU projects: since AP27 has reached its goal recently (AP27 found) and PPS Sieve isn't urgent, it would nice to have two GFN challenges, a small one (e.g. GFN15..17) and a large one (e.g. GFN20+)

* Sieve projects: none of them is urgent, i.e. needs to be pushed.

* other LLR:
** CUL/WOO: we had no challenge in 2019, --> maybe a combined challenge in 2020 (as we had it in 2016)?
** PPS-DIV, just because it is new and cool :-)

Best regards,
A.

I'd like to see SGS and DYFL challenges.

OK, here are some suggestions:

• DIV, Fermat Divisor Search (LLR)
  
• 321 (LLR)
  
• SoB, Seventeen or Bust (LLR)
  
• Cullen+Woodall combined (LLR)
  
• GFN-16 (Genefer, "easiest" GPU Top 5000 primes)
  
• GFN-20 (Genefer, let 2020 be the year of the GFN-20)
  

/JeppeSN

@Composite entirely resonable argument. I'll be all-turq anyway so can do anything without messing anything up.

Long challenges might be good for those of us wanting more sunlight or exercise or social interaction.

This makes me wonder: is PrimeGrid a generally bad place for people suffering from OCD?

I agree with Yves.

The theoretical value of proving the conjecture that every odd k < 78557 has a Proth prime k*2^n + 1, so that the known Sierpiński number 78557 is necessarily the smallest one, is not that big. We would still not know if all of those k have infinitely many Proth primes, and there will still be a bunch of k above 78557 for which we cannot prove that they are not Sierpiński.

So the mathematical result that 78557 is the smallest Sierpiński number, does not give that much theoretical insight.

Finding out how many GFN-16 primes there are under a given B limit, or checking how many Fermat divisors there are in a given (k, n) rectangle, and comparing to theoretical heuristics, might be just as interesting for mathematics.

But generally, crunching primes does not prove very much, in fact.

/JeppeSN

The purpose of proving a conjecture is not just to verify that it's true, but also to explain why it's true. Finding the five remaining SoB primes would do the former but not the latter.

What about the conjecture that every odd k below 78557 can produce at least two primes? What about the conjecture that every odd k below 78557 will produce an infinity of primes? What about the conjecture that every odd k below 78557 will produce primes whose count asymptotically behaves in the expected way?

Who says the Sierpiński problem is particularly important?

We could also do just k=3 only and check if the primes found up to some given n limit appears to behave as we expect, under some prescribed statistical confidence level. Maybe find some unexpected patterns.

Maybe study how often they divide xGF, GF or F numbers, and compare to theory; maybe find some patterns nobody has thought of.

What mathematical data is interesting, is a matter of taste.

/JeppeSN

After reading through the project intros, I found that I actually like this project. I would like:
CUL and 321 challenges, cuz they seemed cool;
The "PPS flavor"(Roger) that will end the soonest;
GFN 17 Both (7 is my lucky number);
and GCW and SR5, cuz they're in different bases and seem interesting.

Here's a minutae that may or may not make a difference when it comes to the scheduling: can the dates in any way avoid 'update Tuesday' so that people are less likely to be affected by auto update reboots during a challenge?

Here's a minutae that may or may not make a difference when it comes to the scheduling: can the dates in any way avoid 'update Tuesday' so that people are less likely to be affected by auto update reboots during a challenge?

You can pause the updates for up to 35 days in Windows 10 (Settings -> Update and Security -> Advanced Options -> Pause Updates).

And you can pause them indefinitely by setting your network as a "Metered Connection".

Settings -> Network & Internet -> Status -> Change connection properties -> Set as metered connection (On)

Hello Everybody,

is the 2020 challenge series fixed by now?
Whenn will be the first challenge?

Not announced yet. Based on past years, the first challenge is likely to start between the 3rd and the 7th of January and run 8-15 days. Hopefully we'll see it after the end of the current challenge.
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Badge score: 5*1 + 6*1 + 7*9 + 8*3 + 10*3 + 11*1 + 12*1 + 13*1 = 164

I guess the Tour de Primes is fixed to the entire UTC month of February, as usual? This time February has 29 days (a prime!) again. /JeppeSN

It would be really great to know what the first challenge is. I have 4 * LLR to take from ruby to turquoise and I will be choosing 1 of them after the GFN challenge - the choice being influenced by what challenges there are early next year.