69 * 2^n - 1 - Page 6

diep · 2015-04-05, 07:12

Thanks for the encouragement, much appreciated! I have each of the 24 cores that run do batches of 1000, so actually i'm already busy testing into the 4M range a tad. Up to 4.22M now. Within a few weeks that'll be 4.5M.

Yet will take 6+ months for the batches there to finish. If i keep 24 cores running then by end summer 2015 majority of the cores should be far over 4.5M with up to 4.5M nearly covered entirely.

If there is a prime within a few weeks, it's 50% odds it's > 4M. After that just 1 core out of 24 still searches < 4M.
About 3 months from now the last core should have finished < 4M range.

diep · 2015-04-05, 07:21

4.5M however if i divide it by the last prime found n=3140225

Then 4.5 / 3.14 = (roughly) 1.43x

Knowing it used to produce on average each factor 1.2 a prime, and not seldom 2 hide nearby, i hope that it still keeps going at 1.2x by then :)

Do not forget however how lucky i was when i started the formula, finding 3 primes and all 3 were at the start of a range of 1000 exponents that each core processes :)

pinhodecarlos · 2015-05-19, 20:19

Vincent,

Are you running the ranges manually or with prpnet/llrnet?

Carlos

diep · 2015-05-19, 20:36

Hello, i have no option but to run everything manual.

Machines that are networked here are getting hacked so terrible and i need to do the security on my own of them. So the only thing that has even remotely a chance of not crashing 20 times a day is by using airgapped machines. Also this linux machine which is on the internet crashes regular.

Fighting such systematic attacks that i get over the internet against my computers as i have IP number the same for 15 years now, is total impossible.

It takes me a lot of extra time - but that's how it is.

I have written several tools, recently one to split up ranges to many cores. If i start then the cores at the same time with a script they roughly also finish at same time finishing range.

That's very useful :)

So each 8 core Xeon here then is easier to maintain.

Before that i just used big batches that run for very long time and keep on back of an envelope an administration which core to regular check for being idle first :)

So with a few tools i split up the ranges into small files that get get started manual.

I'm searching in the 4.2 million now yet it'll take months for the slowest core to finish 4M. There is very little to check up to 4M though and i'm taking into account it's possible next 2 primes are around 4.5M. Will take some time until i'm there :)

pinhodecarlos · 2015-05-19, 20:40

So what's the gap to complete up to 4M? Can I be of assistance after I finish my current RPS Second Megabit Drive ranges? Please let me know.

diep · 2015-05-19, 21:03

Feel welcome, i have about 12-24 cores that crunch at it (most of time 24 real cores).
Statistically spoken I'm closing in on 2 megaprimes so you could be very lucky even if you just crunch a handful of numbers :)
Please contact me in message or skype: diepchess
69 is very thick formula, about 55k each million to check.

pinhodecarlos · 2015-05-19, 21:07

Quote:

Originally Posted by diep

Feel welcome, i have about 12-24 cores that crunch at it (most of time 24 real cores).
Statistically spoken I'm closing in on 2 megaprimes so you could be very lucky even if you just crunch a handful of numbers :)
Please contact me in message or skype: diepchess
69 is very thick formula, about 55k each million to check.

Thank you.

diep · 2018-04-15, 21:03

We're searching with 2 persons now at 69. Seems there is gap after last one which is 69 * 2 ^ 3140225 - 1

We busy 5.5+ mln now and this is very fat weight.

diep · 2020-11-21, 15:08

finished thanks to big work of Paul until 7M. I'm still having a few cores above 7M.

If someone wants to take over let me know. For my current (outdated) hardware i'm at the limits of what is possible to achieve here for 69.

Please note the statistical math supports the idea that there should be a 3d prime not too far away from the found 2 primes at 6.8M.

So if someone has big hardware and wants a shot at it let me know will then email the LLR output files exactly which exponents above 7M have been tried (up until 7.05M i had about 28 cores running until a few hours ago, some of which finished their batches).

k=69 is kind of 'behind' in number of produced primes so it's possible there is a bunch of them at 7m - 8m range.

ryanp · 2020-12-04, 17:13

Quote:

Originally Posted by diep

finished thanks to big work of Paul until 7M. I'm still having a few cores above 7M.

If someone wants to take over let me know. For my current (outdated) hardware i'm at the limits of what is possible to achieve here for 69.

I'm taking this to n=12M now. Not much in the 7-10M range, but found this one: https://primes.utm.edu/primes/page.php?id=131437

diep · 2020-12-04, 19:17

Quote:

Originally Posted by ryanp

I'm taking this to n=12M now. Not much in the 7-10M range, but found this one: https://primes.utm.edu/primes/page.php?id=131437

Congrats on that one!

Way further away than i had guessed!!

It had so many primes below 3.14M.

If we do math from there then it's 6.8M which is factor 2 and 11+M is really far away again. That's like factor 1.7 again.

2015-05-19, 20:40	#60
pinhodecarlos "Carlos Pinho" Oct 2011 Milton Keynes, UK 2³·607 Posts	So what's the gap to complete up to 4M? Can I be of assistance after I finish my current RPS Second Megabit Drive ranges? Please let me know. Last fiddled with by pinhodecarlos on 2015-05-19 at 20:43

2015-04-05, 07:12	#56
diep Sep 2006 The Netherlands 699₁₀ Posts	Thanks for the encouragement, much appreciated! I have each of the 24 cores that run do batches of 1000, so actually i'm already busy testing into the 4M range a tad. Up to 4.22M now. Within a few weeks that'll be 4.5M. Yet will take 6+ months for the batches there to finish. If i keep 24 cores running then by end summer 2015 majority of the cores should be far over 4.5M with up to 4.5M nearly covered entirely. If there is a prime within a few weeks, it's 50% odds it's > 4M. After that just 1 core out of 24 still searches < 4M. About 3 months from now the last core should have finished < 4M range.

2015-04-05, 07:21	#57
diep Sep 2006 The Netherlands 1273₈ Posts	4.5M however if i divide it by the last prime found n=3140225 Then 4.5 / 3.14 = (roughly) 1.43x Knowing it used to produce on average each factor 1.2 a prime, and not seldom 2 hide nearby, i hope that it still keeps going at 1.2x by then :) Do not forget however how lucky i was when i started the formula, finding 3 primes and all 3 were at the start of a range of 1000 exponents that each core processes :)

2015-05-19, 20:19	#58
pinhodecarlos "Carlos Pinho" Oct 2011 Milton Keynes, UK 2³×607 Posts	Vincent, Are you running the ranges manually or with prpnet/llrnet? Carlos

2015-05-19, 20:36	#59
diep Sep 2006 The Netherlands 1273₈ Posts	Hello, i have no option but to run everything manual. Machines that are networked here are getting hacked so terrible and i need to do the security on my own of them. So the only thing that has even remotely a chance of not crashing 20 times a day is by using airgapped machines. Also this linux machine which is on the internet crashes regular. Fighting such systematic attacks that i get over the internet against my computers as i have IP number the same for 15 years now, is total impossible. It takes me a lot of extra time - but that's how it is. I have written several tools, recently one to split up ranges to many cores. If i start then the cores at the same time with a script they roughly also finish at same time finishing range. That's very useful :) So each 8 core Xeon here then is easier to maintain. Before that i just used big batches that run for very long time and keep on back of an envelope an administration which core to regular check for being idle first :) So with a few tools i split up the ranges into small files that get get started manual. I'm searching in the 4.2 million now yet it'll take months for the slowest core to finish 4M. There is very little to check up to 4M though and i'm taking into account it's possible next 2 primes are around 4.5M. Will take some time until i'm there :)

2015-05-19, 21:03	#61
diep Sep 2006 The Netherlands 3×233 Posts	Feel welcome, i have about 12-24 cores that crunch at it (most of time 24 real cores). Statistically spoken I'm closing in on 2 megaprimes so you could be very lucky even if you just crunch a handful of numbers :) Please contact me in message or skype: diepchess 69 is very thick formula, about 55k each million to check.

2018-04-15, 21:03	#63
diep Sep 2006 The Netherlands 2BB₁₆ Posts	We're searching with 2 persons now at 69. Seems there is gap after last one which is 69 * 2 ^ 3140225 - 1 We busy 5.5+ mln now and this is very fat weight.

2020-11-21, 15:08	#64
diep Sep 2006 The Netherlands 3·233 Posts	finished thanks to big work of Paul until 7M. I'm still having a few cores above 7M. If someone wants to take over let me know. For my current (outdated) hardware i'm at the limits of what is possible to achieve here for 69. Please note the statistical math supports the idea that there should be a 3d prime not too far away from the found 2 primes at 6.8M. So if someone has big hardware and wants a shot at it let me know will then email the LLR output files exactly which exponents above 7M have been tried (up until 7.05M i had about 28 cores running until a few hours ago, some of which finished their batches). k=69 is kind of 'behind' in number of produced primes so it's possible there is a bunch of them at 7m - 8m range.