Top-5 prime quadruplet found

gd_barnes · 2007-10-18, 05:44

Another set of archivable primes for RPS. Found: the 4th highest prime quadruplet of all time! Here it is:

477707955423*2^3802-1, +1, +5, and +7

It is the #1 largest prime quadruplet ever found that contains a Riesel and Proth prime!

(+5 and +7 primes proven with Primo after LLR found them as probable primes.)

Gary

VBCurtis · 2007-10-18, 07:13

How long does Primo take to prove a number that size prime? What version of Primo do you have?
-Curtis

gd_barnes · 2007-10-18, 18:09

Quote:

Originally Posted by VBCurtis

How long does Primo take to prove a number that size prime? What version of Primo do you have?
-Curtis

I am using version 3.0.4. If anyone is interested in downloading it, it is at www.ellipsa.net.

It took 1 hour, 3 minutes for the +5 candidate and 1 hour, 21 minutes for the +7 candidate. I'm not sure why the difference. Nothing else was running on my machine either time. It probably has something to do with how well it could factor the number 1 greater and/or 1 less than each number.

Of course LLR found them to be PRP in about 1/20th of a second.

This is a reduced form of 1910831821692*2^3800-1/+1/+5/+7. I had sieved n=3800 for k<=6T including all even candidates. A whole bunch of 'really big' files!

On another note, I got an Email from Prof. Caldwell. I needed to create a new proof code that includes Primo for the +5 and +7 candidates. I've now done that and he is going to 'move them over'. I wanted to credit LLR solely since it was 99.9% of the total prime-finding time but that doesn't work for PRP's at the top-5000 site. I guess since it didn't prove them prime and whatever software proves them prime is what gets credit. So LLR will get credit for -1 and +1 and Primo for +5 and +7.

Gary

gd_barnes · 2007-10-26, 06:21

I decided to finish up my sieved range of k=1-6T for n=3800 looking for quads. With barely better than a 1 in 4 chance of finding another with the sieved range left, the prime Gods were on my side and it kicked out another one!

Here it is:

2722420456827*2^3800-1, +1, +5, +7

This one is now the 4th largest and the prior one is 5th. Together they are the top 2 quads ever to contain Riesel and Proth primes.

Curtis, for some reason, Primo runs faster on an Athlon than on a core2-duo. This one only took 40 and 44 mins. respectively to prove the +5 and +7 primes. Checking the prior one on the Athlon, it took 42 and 50 mins. respectively vs. over an hour each on the core2-duo. I tested each one at a time on both machines with the other core running something else in both cases. Very strange!

Gary

em99010pepe · 2007-10-26, 08:45

Quote:

Originally Posted by gd_barnes

I I tested each one at a time on both machines with the other core running something else in both cases. Very strange!

Gary,

Can you set Primo's affinity instead of letting the OS choose it automatically? Try going to task manager and set core 0 to Primo and core 1 to the other thing you're running, then see what happens....

Carlos

Kosmaj · 2007-10-26, 09:11

It is well known that Primo is much faster of Athlons and Opterons because it's based on integer computation which is much faster on AMD cpu's. Pentiums are much faster for floating point numbers. I found that my old Athlon-2000, cpu clock 1.66G is just a little bit faster than (2 year old) 3.6G Pentium Xeon.

gd_barnes · 2007-10-26, 15:31

Quote:

Originally Posted by Kosmaj

It is well known that Primo is much faster of Athlons and Opterons because it's based on integer computation which is much faster on AMD cpu's. Pentiums are much faster for floating point numbers. I found that my old Athlon-2000, cpu clock 1.66G is just a little bit faster than (2 year old) 3.6G Pentium Xeon.

Very interesting. Thanks for the info, Kosmaj. I never would have guessed it with as much faster as P4s are at LLRing. I seem to learn something new several times each week with this effort.

Carlos, I had LLR going on one core (on another effort) and Primo on the other when I tested Primo on both the Core2-duo and dual-core Athlon. Since both are 2-core machines, I'm thinking having a separate affinity would have made little difference. Let me know if you think otherwise.

Hum...I'm not familiar with how to change the core in the task manager. I'll have to look into that. Primo doesn't seem to have a way to change the affinity.

Gary

Cruelty · 2007-10-26, 16:11

Quote:

Originally Posted by gd_barnes

Hum...I'm not familiar with how to change the core in the task manager. I'll have to look into that. Primo doesn't seem to have a way to change the affinity.

Hint: right clik on a process name

gd_barnes · 2007-10-26, 16:17

Quote:

Originally Posted by Cruelty

Hint: right clik on a process name

OK, thanks. I see that now. Duh!

Question for anyone here...on a dual-core machine, is there any benefit to having one instance of LLR run on CPU 0 and the other on CPU 1 instead of the default of letting them both run on both CPUs? I always just let both instances default to running on both CPUs.

Thanks,
Gary

amphoria · 2007-10-26, 22:46

Gary,

If you look at Task Manager | Performance you should see that the two instances will fight each other if you do not set the affinity of each. The symptom is that that each instance does not always show 100% CPU usage. The net result is that you lose some processing power for each instance. I always set the affinity either using the program itself or using a program that I wrote that allows you to set the affinity of any given program under Windows. Alternatively you can manually set the affinity as described by Carlos.

gd_barnes · 2007-10-27, 01:54

Quote:

Originally Posted by amphoria

Gary,

If you look at Task Manager | Performance you should see that the two instances will fight each other if you do not set the affinity of each. The symptom is that that each instance does not always show 100% CPU usage. The net result is that you lose some processing power for each instance. I always set the affinity either using the program itself or using a program that I wrote that allows you to set the affinity of any given program under Windows. Alternatively you can manually set the affinity as described by Carlos.

Excellent! Thanks a bunch. I'll change all of my dual-core machines now to have separate affinities for each instance of LLR, srsieve, or newpgen.

Gary

2007-10-26, 06:21	#4
gd_barnes May 2007 Kansas; USA 19×541 Posts	Another top 5 quad found! I decided to finish up my sieved range of k=1-6T for n=3800 looking for quads. With barely better than a 1 in 4 chance of finding another with the sieved range left, the prime Gods were on my side and it kicked out another one! Here it is: 2722420456827*2^3800-1, +1, +5, +7 This one is now the 4th largest and the prior one is 5th. Together they are the top 2 quads ever to contain Riesel and Proth primes. Curtis, for some reason, Primo runs faster on an Athlon than on a core2-duo. This one only took 40 and 44 mins. respectively to prove the +5 and +7 primes. Checking the prior one on the Athlon, it took 42 and 50 mins. respectively vs. over an hour each on the core2-duo. I tested each one at a time on both machines with the other core running something else in both cases. Very strange! Gary

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2007-10-18, 05:44	#1
gd_barnes May 2007 Kansas; USA 10279₁₀ Posts	Top-5 prime quadruplet found Another set of archivable primes for RPS. Found: the 4th highest prime quadruplet of all time! Here it is: 477707955423*2^3802-1, +1, +5, and +7 It is the #1 largest prime quadruplet ever found that contains a Riesel and Proth prime! (+5 and +7 primes proven with Primo after LLR found them as probable primes.) Gary

2007-10-18, 07:13	#2
VBCurtis "Curtis" Feb 2005 Riverside, CA 4604₁₀ Posts	How long does Primo take to prove a number that size prime? What version of Primo do you have? -Curtis

2007-10-26, 09:11	#6
Kosmaj Nov 2003 111000100110₂ Posts	It is well known that Primo is much faster of Athlons and Opterons because it's based on integer computation which is much faster on AMD cpu's. Pentiums are much faster for floating point numbers. I found that my old Athlon-2000, cpu clock 1.66G is just a little bit faster than (2 year old) 3.6G Pentium Xeon.

2007-10-26, 22:46	#10
amphoria "Dave" Sep 2005 UK 101011010110₂ Posts	Gary, If you look at Task Manager \| Performance you should see that the two instances will fight each other if you do not set the affinity of each. The symptom is that that each instance does not always show 100% CPU usage. The net result is that you lose some processing power for each instance. I always set the affinity either using the program itself or using a program that I wrote that allows you to set the affinity of any given program under Windows. Alternatively you can manually set the affinity as described by Carlos.