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Message boards : General discussion : Small prime number project

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some-one
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Posts: 24
ID: 37324
Credit: 2,778,619
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321 LLR Bronze: Earned 10,000 credits (12,534)PPS LLR Gold: Earned 500,000 credits (956,228)SGS LLR Bronze: Earned 10,000 credits (42,218)TRP LLR Silver: Earned 100,000 credits (127,625)321 Sieve Bronze: Earned 10,000 credits (36,544)PPS Sieve Silver: Earned 100,000 credits (263,655)TRP Sieve (suspended) Bronze: Earned 10,000 credits (22,057)AP 26/27 Bronze: Earned 10,000 credits (10,064)GFN Silver: Earned 100,000 credits (457,628)PSA Gold: Earned 500,000 credits (827,688)
Message 138109 - Posted: 21 Feb 2020 | 16:57:46 UTC

Hey everyone,

I love science and research in my personal / professional life and at BOINC.
Quite a while back I used two old computers in the workgroup at uni to find prime numbers in the prpnet-project. I found quite a lot of the small b*2^n+1 (n ~ 50000) prime numbers, since the check even at those old machines only took about 10-20 sec :)

Now I am wondering if there is another project out there with small "insignificant" primes or other scientific relavant tests to preform with similar short workunits? Does anybody know of a project that meets this criteria?
It is not the fame I am after, it is more the urge to help science / complete something etc. with the little computing power I have (1 Machine). Surely my contribution to primegrid helps, but is rater insignificant compared to "the big guys". And although I am crunshing my workunits at primegrid no matter what, it would be nice to find something once in a while :) Therefore the search for a small side project.

Any suggestions are welcome.

kind regards

some-one

Kellen
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Joined: 10 Jan 18
Posts: 380
ID: 967938
Credit: 1,293,364,393
RAC: 86,002
Discovered 2 mega primes321 LLR Amethyst: Earned 1,000,000 credits (1,046,831)Cullen LLR Ruby: Earned 2,000,000 credits (2,380,710)ESP LLR Ruby: Earned 2,000,000 credits (2,567,223)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,266,330)PPS LLR Turquoise: Earned 5,000,000 credits (9,917,469)PSP LLR Amethyst: Earned 1,000,000 credits (1,620,415)SoB LLR Jade: Earned 10,000,000 credits (10,953,837)SR5 LLR Ruby: Earned 2,000,000 credits (2,047,778)SGS LLR Jade: Earned 10,000,000 credits (12,255,694)TRP LLR Jade: Earned 10,000,000 credits (12,784,227)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,265,598)AP 26/27 Sapphire: Earned 20,000,000 credits (39,985,270)GFN Emerald: Earned 50,000,000 credits (92,248,881)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138110 - Posted: 21 Feb 2020 | 17:04:39 UTC - in response to Message 138109.

Hi some-one,

There is a side project looking for GFN-13 and GFN-14 primes on a server operated by Stream. Here is the link to the instructions on how to participate: http://www.primegrid.com/forum_thread.php?id=7985. They are also looking for the first GFN-16 prime with 1,000,000 digits if you are interested in that.

Regards,
Kellen

P.S. I also had the same thoughts you did about small primes that are "insignificant" but still have scientific value and embarked upon a bit of a search over the past month or so. I will get some results together and post more later today :)

Kellen
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Joined: 10 Jan 18
Posts: 380
ID: 967938
Credit: 1,293,364,393
RAC: 86,002
Discovered 2 mega primes321 LLR Amethyst: Earned 1,000,000 credits (1,046,831)Cullen LLR Ruby: Earned 2,000,000 credits (2,380,710)ESP LLR Ruby: Earned 2,000,000 credits (2,567,223)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,266,330)PPS LLR Turquoise: Earned 5,000,000 credits (9,917,469)PSP LLR Amethyst: Earned 1,000,000 credits (1,620,415)SoB LLR Jade: Earned 10,000,000 credits (10,953,837)SR5 LLR Ruby: Earned 2,000,000 credits (2,047,778)SGS LLR Jade: Earned 10,000,000 credits (12,255,694)TRP LLR Jade: Earned 10,000,000 credits (12,784,227)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,265,598)AP 26/27 Sapphire: Earned 20,000,000 credits (39,985,270)GFN Emerald: Earned 50,000,000 credits (92,248,881)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138112 - Posted: 21 Feb 2020 | 17:13:41 UTC

Hi again some-one,

I should also mention that if you want to look for primes on your own you can do it relatively easily and find some in any size range you choose. Using the programs NewPGen (https://primes.utm.edu/programs/NewPGen/) and LLR (http://jpenne.free.fr/index2.html) you can sieve and test pretty much anything you want. Just pick an exponent and a range of k-values to sieve with NewPGen and then feed the sieve output file into LLR. If you want to look for 100,000 digit primes use exponent 2^332180 or higher with k-values over 10000 and you should be good.

PrimeGrid is searching all k-values less than 10000, but I think if you go above that then you are probably not searching a range which is actively being searched by others, but someone can correct me if I am wrong.

Enjoy!

Kellen

some-one
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Joined: 23 Mar 09
Posts: 24
ID: 37324
Credit: 2,778,619
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321 LLR Bronze: Earned 10,000 credits (12,534)PPS LLR Gold: Earned 500,000 credits (956,228)SGS LLR Bronze: Earned 10,000 credits (42,218)TRP LLR Silver: Earned 100,000 credits (127,625)321 Sieve Bronze: Earned 10,000 credits (36,544)PPS Sieve Silver: Earned 100,000 credits (263,655)TRP Sieve (suspended) Bronze: Earned 10,000 credits (22,057)AP 26/27 Bronze: Earned 10,000 credits (10,064)GFN Silver: Earned 100,000 credits (457,628)PSA Gold: Earned 500,000 credits (827,688)
Message 138115 - Posted: 21 Feb 2020 | 17:29:27 UTC - in response to Message 138110.

@Kellen:
Thanks for the quick reply.
The suggested project seems interesting. To register I need a invitation code though.

Maybe I choose the wrong word when I said "insignificant". Surely the small numbers are scientifically interessting, but they will not be listed in Chris Caldwell's database ;)

The manual sieving and testing process sounds interesing too. But before I start I have to do some reading and testing ;)

some-one

mackerelProject donor
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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 5 primes in the 2019 Tour de PrimesFound 6 primes in the 2020 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (8,774,878)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (6,454,573)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,122,074)PPS LLR Emerald: Earned 50,000,000 credits (71,949,476)PSP LLR Jade: Earned 10,000,000 credits (15,223,714)SoB LLR Jade: Earned 10,000,000 credits (17,319,914)SR5 LLR Sapphire: Earned 20,000,000 credits (23,993,013)SGS LLR Turquoise: Earned 5,000,000 credits (7,333,201)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Jade: Earned 10,000,000 credits (16,460,208)Woodall LLR Turquoise: Earned 5,000,000 credits (5,715,464)321 Sieve Jade: Earned 10,000,000 credits (18,014,408)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,626,419)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Sapphire: Earned 20,000,000 credits (21,918,894)GFN Emerald: Earned 50,000,000 credits (71,886,552)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 138120 - Posted: 21 Feb 2020 | 17:59:37 UTC

The current GFN13/14 kinda started when I had similar thoughts some years ago. I wanted to have a go starting from scratch, to check I understood and could do it. At the time GFN15 and above was active on PrimeGrid, so I thought I'd look lower. I think I first tried GFN14 but settled on GFN13 because they were much faster to work on.

As a further check that I was doing things correctly, I didn't even test unknown areas. GFN13/14 had been searched in the past, so I was effectively running a double check of those results. When things got going, I discovered some primes that were missed 1st time around.

Anyway, things started to get some momentum and found their way onto the unofficial projects as they are now. BTW the invite code is listed in the post earlier.

Yves Gallot
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Message 138121 - Posted: 21 Feb 2020 | 18:00:49 UTC - in response to Message 138109.
Last modified: 21 Feb 2020 | 18:01:25 UTC

Now I am wondering if there is another project out there with small "insignificant" primes or other scientific relavant tests to preform with similar short workunits? Does anybody know of a project that meets this criteria?


Yes, the Search for Fermat Number Divisors is testing these ranges.

Kellen
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Joined: 10 Jan 18
Posts: 380
ID: 967938
Credit: 1,293,364,393
RAC: 86,002
Discovered 2 mega primes321 LLR Amethyst: Earned 1,000,000 credits (1,046,831)Cullen LLR Ruby: Earned 2,000,000 credits (2,380,710)ESP LLR Ruby: Earned 2,000,000 credits (2,567,223)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,266,330)PPS LLR Turquoise: Earned 5,000,000 credits (9,917,469)PSP LLR Amethyst: Earned 1,000,000 credits (1,620,415)SoB LLR Jade: Earned 10,000,000 credits (10,953,837)SR5 LLR Ruby: Earned 2,000,000 credits (2,047,778)SGS LLR Jade: Earned 10,000,000 credits (12,255,694)TRP LLR Jade: Earned 10,000,000 credits (12,784,227)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,265,598)AP 26/27 Sapphire: Earned 20,000,000 credits (39,985,270)GFN Emerald: Earned 50,000,000 credits (92,248,881)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138123 - Posted: 21 Feb 2020 | 18:09:26 UTC

Looks like I had the same thoughts as both mackerel and some-one, but started a little smaller than mackerel :)

http://www.primegrid.com/forum_thread.php?id=9046

JimBProject donor
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Posts: 913
ID: 107307
Credit: 974,118,817
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Discovered 1 mega prime321 LLR Ruby: Earned 2,000,000 credits (2,691,081)Cullen LLR Turquoise: Earned 5,000,000 credits (5,031,868)ESP LLR Turquoise: Earned 5,000,000 credits (5,064,082)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,038,750)PPS LLR Turquoise: Earned 5,000,000 credits (5,000,220)PSP LLR Turquoise: Earned 5,000,000 credits (7,639,762)SoB LLR Sapphire: Earned 20,000,000 credits (42,604,648)SR5 LLR Jade: Earned 10,000,000 credits (11,829,173)SGS LLR Ruby: Earned 2,000,000 credits (2,070,105)TRP LLR Ruby: Earned 2,000,000 credits (2,291,092)Woodall LLR Turquoise: Earned 5,000,000 credits (5,046,412)321 Sieve Jade: Earned 10,000,000 credits (10,057,614)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,002,919)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,005,451)PPS Sieve Emerald: Earned 50,000,000 credits (52,042,965)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,341,676)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,070,804)AP 26/27 Jade: Earned 10,000,000 credits (10,742,251)GFN Emerald: Earned 50,000,000 credits (50,000,251)PSA Double Gold: Earned 500,000,000 credits (728,547,693)
Message 138182 - Posted: 22 Feb 2020 | 21:42:08 UTC - in response to Message 138115.

@Kellen:
Thanks for the quick reply.
The suggested project seems interesting. To register I need a invitation code though.
some-one

The invitation code is PrimeGrid

Profile RussEfarmer
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ID: 1166081
Credit: 48,970,170
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Found 1 prime in the 2020 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,138,595)Cullen LLR Gold: Earned 500,000 credits (792,817)PPS LLR Ruby: Earned 2,000,000 credits (3,467,381)PSP LLR Ruby: Earned 2,000,000 credits (2,082,530)SoB LLR Ruby: Earned 2,000,000 credits (2,268,076)SR5 LLR Silver: Earned 100,000 credits (245,266)SGS LLR Amethyst: Earned 1,000,000 credits (1,673,655)321 Sieve Ruby: Earned 2,000,000 credits (4,419,227)PPS Sieve Turquoise: Earned 5,000,000 credits (5,117,178)AP 26/27 Turquoise: Earned 5,000,000 credits (5,017,363)GFN Turquoise: Earned 5,000,000 credits (5,389,686)PSA Jade: Earned 10,000,000 credits (16,358,396)
Message 138183 - Posted: 22 Feb 2020 | 21:55:52 UTC - in response to Message 138109.

With my limited knowledge, the (official) subproject that finds the smallest primes would be the Sophie Germain Search and the GFN-15 search, running on CPU and GPU respectively.
I personally enjoy SGS, it's a very good way for my older machines to find primes, and there's a very small chance a prime you find could be a twin prime, which you get a cool badge for discovering.

some-one
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Joined: 23 Mar 09
Posts: 24
ID: 37324
Credit: 2,778,619
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321 LLR Bronze: Earned 10,000 credits (12,534)PPS LLR Gold: Earned 500,000 credits (956,228)SGS LLR Bronze: Earned 10,000 credits (42,218)TRP LLR Silver: Earned 100,000 credits (127,625)321 Sieve Bronze: Earned 10,000 credits (36,544)PPS Sieve Silver: Earned 100,000 credits (263,655)TRP Sieve (suspended) Bronze: Earned 10,000 credits (22,057)AP 26/27 Bronze: Earned 10,000 credits (10,064)GFN Silver: Earned 100,000 credits (457,628)PSA Gold: Earned 500,000 credits (827,688)
Message 138219 - Posted: 23 Feb 2020 | 11:42:48 UTC

Hey,

for now I am participating at the GFN-13 / 14 project ! Thanks for the suggestion.

The though that I search a range for prime numbers myself (have not decided on the form yet) is very appealing though, but I have to do some serious research about the number ranges of different projects. I do not want to overlap with other projects.

Thanks for all the suggestions.

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Message boards : General discussion : Small prime number project

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