Out of curiosity why is the General Number Field Sieve slow as the numbers get larger?

I'm trying to understand the GNFS and I'm curious, why is the GNFS slow for large numbers? Is the algorithm just inherently slow as the numbers get bigger or is there a bottleneck in the algorithm that slows it down in practice?

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πŸ‘€︎ u/AS345
πŸ“…︎ Aug 06 2020
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General Number Field Sieve resources.

I recently got interested in prime factorizations and RSA so I decided what's better to do than code the fastest prime factorization algorithm a classical computer can run. Unfortunately, because I don't have a lot of background in number theory a lot of the papers are a little hard to read for me. I came across Integer Factorization - Leslie Jensen and it was a lot of help for me. Anyways my main question is are there any other papers that can even more in detail? Just so I understand what I code better. Thanks.

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πŸ‘€︎ u/DarkStealther
πŸ“…︎ Dec 14 2019
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A Beginner’s Guide To The General Number Field Sieve [PDF] citeseerx.ist.psu.edu/vie…
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πŸ‘€︎ u/rolfr
πŸ“…︎ Oct 17 2017
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General Number Field Sieve

I am taking a parallel programming course next quarter and my college has been granted a fairly massive GPU cluster. I am interested in implementing a parallelized RSA cracker as my final project. (For science)

Can someone explain like I'm five how General Number Field Sieve works? I've gathered that it may be best to work my way up from Rational Sieve -> Special Number Field Sieve -> General Number Field Sieve

Can r/crypto help shed any further light on this for me?

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πŸ‘€︎ u/andrewguenther
πŸ“…︎ Feb 21 2012
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Tower number field sieve (TNFS) & Ed/curve25519

Does the tower number field sieve (TNFS) affect the security of curve25519 or its twisted Edward’s variant?

i.e. does it reduce the bit-strength of curve/Ed25519 ECC below their existing strength of approx 125bits?

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πŸ‘€︎ u/john_alan
πŸ“…︎ Jul 23 2020
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Is Number Field Sieve still the current state-of-the-art integer factorization method?
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πŸ‘€︎ u/sp31415926535
πŸ“…︎ Jun 07 2017
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Special number field sieve (SNFS) polynomials for Cunninghams gilchrist.ca/jeff/factori…
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πŸ‘€︎ u/xpm999
πŸ“…︎ Jan 20 2014
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Looking for an introductory text to the special number field sieve?

I'd like to learn about the special number field sieve, does anyone know of a good introductory text? All that I've seen so far have been very technical papers intended for people in the know.

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πŸ‘€︎ u/Maent
πŸ“…︎ Jul 30 2014
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Batch NFS (number-field sieve) cr.yp.to/factorization/ba…
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πŸ‘€︎ u/Docmandu
πŸ“…︎ Nov 11 2014
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Crabeater seal skull (female), nonfossilized, collected in Antarctica in 1934, Field Museum of Natural History, Lobodon carcinophagus, finely lobed teeth worked as a sieve for krill
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πŸ‘€︎ u/KimCureAll
πŸ“…︎ May 13 2021
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Using Eratosthenes sieve to find over 600,000 prime numbers in an astonishing 0.2 seconds!

I was recently messing around with prime numbers, and was reading about Eratosthenes sieve, so I decided to make a program in rust to find prime numbers:

https://play.rust-lang.org/?version=stable&mode=release&edition=2018&gist=f6724fe6d427e3af641de44d0833c41e

That simple 30ish line program is able to find every prime number before 10 million in well under a second.

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πŸ‘€︎ u/comradethiv
πŸ“…︎ Jun 17 2021
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Sieve of Eratosthenes - an interesting speedy algorithm for finding prime numbers v.redd.it/0a3mh0e5iun61
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πŸ‘€︎ u/Johnny_LAmpAz
πŸ“…︎ Mar 18 2021
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Sieve test for numbers in email address

I find the documentation on sieve difficult to navigate. I want to write a test for if an email address contains numbers before the @. I am getting a lot of spam sent to my domain with to-addresses <numbers>@<mydomain>.

Any ideas?

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πŸ‘€︎ u/AntiDemocrat
πŸ“…︎ Sep 09 2021
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In mathematics, the sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit.
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πŸ‘€︎ u/rameez2p
πŸ“…︎ Sep 15 2020
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CMV: science reporters should be expected to have substantial background in the relevant field(s) and should be held to a much higher standard of accuracy and honesty in general.

Major deltas so far:

  • A better way to encourage accuracy would be to require science reporting to have two people on the byline, one the journalist and the other a relevant scientist who verified the accuracy of the article.
    • Or maybe that wouldn't be practical with concerns about conflicts of interest. A better-still solution might just be to encourage an industry norm of having dedicated science journalists (who build up relevant background) and dedicated fact-checkers.
  • My first bad example may actually come down to a difference in interpretation of importance of effects and not actually bad reporting per se.
  • I am referring more to pop science than to the variety of science journalism that is written for people in industry.
  • "Higher standards" should refer to journalism, not journalists. The problems I'm describing may be the product of editors etc as much as the journalists themselves.

A few important clarifications:

  • I'm not arguing for a law, more like an industry norm. [Since I'm not arguing for a law, in a US context the First Amendment isn't relevant.]
  • I'm not arguing whether reporters in other fields should also have such a background. Maybe they should, but that's irrelevant here.
  • I'm not arguing they should need to have a degree or any specific formal qualification, just a generally sound understanding.
  • "Higher standard" is relative to current standards, not other subfields of journalism.

I have two examples in mind that spurred this.

One was an article reporting on some new paper, regarding the risks of alcohol assumption I think, that conflated "significant" and "statistically significant". The quoted scientist said "the effect was very small, but statistically significant"; the reporter interpreted this as "small but significant". That's a massive difference; I've seen cases in my own line of work where a correlation definitely, unequivocally existed (we're talking p < 0.0001) but was far, far too small to matter to anything. That was also the case with this article; I believe the effect they were describing was on the order of a month or two of life expectancy difference. [This is relevant to "substantial background"; the reporter apparently did not know what "statistically significant" means.]

Another came up in a recent CMV post. OP, arguing about the risks of imminent sea level rise, cited an article which, quoting an AGU press conference, said (in the headline and the first paragraph) that an Antarct

... keep reading on reddit ➑

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πŸ‘€︎ u/quantum_dan
πŸ“…︎ Dec 25 2021
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You ever noticed this animation error in Book 2 episode 10 where when Jesse gets injured by Sieve he gets up and his number is NOT being reflected backwards in the giant memory tape screen?
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πŸ“…︎ Apr 10 2021
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The modern chicken, which is a subspecies of red junglefowl, has retained its ability to fly short distances. Chickens will general fly up and down from roosting areas as well as trees, but they are not capable of long-distance flight beyond the length of a football field or so. gfycat.com/confusedgoodfl…
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πŸ‘€︎ u/KimCureAll
πŸ“…︎ Dec 05 2021
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40 questions Geography Quiz i made myself(it took me 9 hours...).I hope you will enjoy it because i tried to cover great number of geography sub fields,not just general geography. quizomod.online/wpquize/u…
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πŸ‘€︎ u/ohayo323
πŸ“…︎ Sep 26 2019
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Is the a cap on max number of general/field marshal traits?

I can't seem to find a solid answer on this. It looks like there was a hard cap at one point with it looking like they might remove the hard cap, but each new trait takes more xp to earn. Does anyone know for sure how this works now? The wiki seems to imply there is no limit now, just takes more xp to earn each one.

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πŸ‘€︎ u/KaidenUmara
πŸ“…︎ Aug 04 2020
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Anyone ever a see a QB prospect like this? Field General with amazing combine numbers! imgur.com/a/NKsJe59
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πŸ‘€︎ u/Modern_Mammoth
πŸ“…︎ May 24 2020
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Maybe more of a general baseball question, but how is Peterson worth a projected 2.7 WAR? His hitting is below league average and his fielding numbers are unremarkable.
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πŸ‘€︎ u/SpeedyTuyper
πŸ“…︎ Jul 26 2021
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General Dynamics FB-111 strategic bomber (serial number 68-0245) at the March Field Air Museum, Riverside, California. Photo taken December 2, 2018.
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πŸ‘€︎ u/vahedemirjian
πŸ“…︎ May 18 2020
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[Ryan Wood] With four games left in this NFL season, #Packers find themselves in a familiar place: Number one overall seed in the NFC. The path to Super Bowl LVI might once again come through Lambeau Field. twitter.com/ByRyanWood/st…
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πŸ“…︎ Dec 14 2021
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How about molecular valve? Material that lets some gas or liquid pass depending on electric or magnetic fields? Also is molecular sieve

Wikipedia did not give clear result for "molecular valve", which is slightly strange.

In really small scales, making mechanical valves is hard. Molecular valve could be seen - kind of - as valve without moving parts, or at least parts that are not placed based on resolution.

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πŸ‘€︎ u/herkato5
πŸ“…︎ Sep 21 2020
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BREAKING NEWS FROM YEMEN! FOLLOWING HOUTHI SPECIAL FORCES GENERAL MARTYRDOM IN YEMEN A FIELD COMMANDER AND A MAJOR GENERAL LOYAL TO SAUDI PUPPET HADI KILLED IN ACTION! LARGE NUMBER OF CASUALTIES!

as i reported earlier there was a terrible event where without details it was announced that the commanding special forces general for ansarallah led by the houthis was killed in battle with pro hadi forces. (F F F F F F F F F F F F F F).

as usual whenever there is a big event like this the houthis respond with something bigger. every fucking time:

>Pro-Hadi field commander Shaya Bahaybah al-Muradi was killed in clashes with Houthi Ansarullah in Qaniyah front.

and

>Pro-Hadi field officer Maj-Gen Sheikh Saleh Ali al-Thabati was also killed in clashes with Houthi forces in Qaniyah front.

latest info:

>Houthi Ansarullah takes control of Ghawl Ahmed and Khadar al-Arjaa, battle is now moving towards Suq Qaniyah (Qaniyah Market).

this is in baydah province. extremely important battlefront!

pictures and maps put out on twitter:

https://mobile.twitter.com/tonytohcy/status/1259361286430658561

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πŸ‘€︎ u/karafspolo
πŸ“…︎ May 11 2020
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Those that have done a notoriously β€œhard to get a job in the field”degrees such as Creative Media, General Arts, Criminology, Archaeology etc etc ... what is your current job and salary?

Unfortunate Criminology student here, think it’s a popular degree so probably lots of people in my boat. 12 months out of Uni, was unable to get my foot in the door with an internship due to COVID and now working part time at a clothes shop for $22 an hour while doing an extra Diploma to try and make myself more marketable. I’d imagine it’s a similar story for a lot of people so would love to hear from you! And if you’ve managed to graft yourself into a good position then would also love to hear your story!

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πŸ‘€︎ u/crustyjuggler1
πŸ“…︎ Dec 03 2021
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Steph Curry number of games shooting 25% or lower from the field - this season: 6, previous seven seasons combined: 5

Thought this was a pretty interesting little stat, he’s shot 25% or lower in about 18% of his games this year. Could be due to shooting a higher % of threes, but still kinda unexpected.

Source

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πŸ“…︎ Jan 06 2022
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Where can I get the default URL string for the Ebay sieve? For some reason Imagus keeps deleting the field.

I had everything set up just fine with the Ebay sieve, using my own developer API from ebay, which has been working flawlessly for months on Brave (Chrome), then it suddenly stopped working.

Upon investigation, I found that Imagus deleted the URL field for the ebay sieve. It restored the field one time when I re-installed Imagus, but it blanked it again the next day and now re-installing doesn't restore it, hitting the "defaults" button doesn't either, and neither does updating the sieve database.

I didn't save the long complex URL string that was there originally, so where can I get the default URL for the ebay sieve? And why is it blanking the URL field to begin with?

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πŸ‘€︎ u/NewLifeWares
πŸ“…︎ Mar 16 2020
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Ontario has now updated their hospital data to disclose that, as of today’s numbers, 46% of general covid hospitalizations are incidental and 17% of covid ICU numbers are incidental. twitter.com/anthonyfurey/…
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πŸ‘€︎ u/convneuralnetwork
πŸ“…︎ Jan 11 2022
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NFL teams recently declared unused 2021 cap space rollover amounts (below). After the playoffs, the NFL will audit incentives, bonuses, etc by team. That figure will be added/subtracted to the number below. The sum + the 2022 Salary Cap = each team’s 2022 adjusted cap number. [Via Field Yates]
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πŸ‘€︎ u/Brees-09
πŸ“…︎ Jan 17 2022
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What does Skill Level Number do for Field Marshals (or Generals)

I did a search and could not find what the skill number does. Someone in steam said it just means whoever has higher number gets to select tactic....

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πŸ‘€︎ u/Tiki-Tiger
πŸ“…︎ Apr 29 2020
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Field Marshal Asboth, allow me to introduce you to your generals; Farnsworth, Asboth, Asboth, Mitchell, and Asboth
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πŸ‘€︎ u/matty_spatty
πŸ“…︎ Jan 07 2022
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Number 1 pick Cade Cunningham checks out of the game with: 6/3/2 and 2 turnovers on 2-14 from the field and 0-9 from three

20 minutes

6 Points

3 assists

2 rebounds

2 turnovers

2-14 from the field

0-9 from three

Source

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πŸ‘€︎ u/Fire_Matt_Nagy1
πŸ“…︎ Nov 03 2021
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His Excellency, President for Life, Field Marshal Al Hadji Doctor Idi Amin Dada, VC, DSO, MC, CBE, Lord of All the Beasts of the Earth and Fishes of the Seas and Conqueror of the British Empire in Africa in General and Uganda in Particular reddit.com/gallery/s833um
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πŸ‘€︎ u/jbkleber1800
πŸ“…︎ Jan 19 2022
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My biggest objection to the mental health field in general is the idea that there's one correct way for people to be an any deviation is a "symptom"

You struggle to trust doctors/police/dentists/etc because of a past event? You're sick and need a pill. You occasionally get angry? You need a pill. You aren't laser focused on every task you do 100% of the time? Pill. You have the remotest skepticism for medicine or mental health? Several pills.

Not everyone has to be the same. I was told when I was 13 that I was mentally ill for not paying attention in math class and forced to take Ritalin by my mom. I started performing even worse in school and they just upped the dosage. The proper diagnosis is "hey, this 13 year old boy doesn't like math and there's nothing weird about that at all" but that doesn't satisfy the mental health field. I only actually became unhappy AFTER I started seeing therapists.

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πŸ‘€︎ u/Regal--Lager
πŸ“…︎ Jan 03 2022
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[Rowland] Couple of Hawks notes from Shams: - Teams are calling on Cam Reddish but ATL is seeking a 1st-round pick - Schlenk is β€œexpected to receive” a contract extension by the offseason and Landry Fields is β€œtrending toward being promoted to” general manager twitter.com/btrowland/sta…
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πŸ‘€︎ u/rajgupta59
πŸ“…︎ Dec 13 2021
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From the last 20 years, 2006 was Brunei’s peak oil production. We’ve since regressed to a lower production number than the 80’s. No new field found, its a decline from here onwards.
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πŸ‘€︎ u/BN2000321
πŸ“…︎ Jan 17 2022
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I am so fed up with the Graphic Design field and marketing in general. I want out. What can I do?

I hate the graphic design field.

So many people with unreasonable expectations and deadlines. So many bosses who don't give a shit about your time or have any clue what it takes to complete projects. Not to mention the pay is complete shit for the amount of work effort that is required to be put in. Really, sub $50k to do 5 different job responsibilities? And then you have to factor in that everyone is a critic and wants to throw in their design thoughts and be a backseat designer.

This job is for masochists. I want out.

I'm just worried all of my skillsets and hobbies I've tried revolve around this. I love drawing and illustrating. I've dabbled in web design and 3D modeling. I love the curiosity and exploration that comes with creativity. I just hate doing it for other people. And this job puts you at the mercy of everybody else.

What are my options? I am turning 35 this year and have a wife and kid that depend on my income contributions. I would go back to school or a trade school if it meant I just had one thing to work on and get reasonably compensated for it. I just don't know what kind of jobs are out there. I'd love to help people if I could. And make it less about staring at a computer all day. I have a Bachelor's degree currently if that helps.

EDIT: After reading the responses here I have looked into switching to a UX designer career path. UX seems way more in tune with what I'd like to do because I'm way more analytical than subjective when it comes to design. I like knowing the "why's" behind everything. Thank you all for the advice.

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πŸ“…︎ Dec 01 2021
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οΏΌ | Burnley vs Leicester City has been postponed due to Burnley being unable to field the required numbers twitter.com/footballdaily…
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πŸ“…︎ Jan 14 2022
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[Field Yates] NFL teams recently declared unused 2021 cap space rollover amounts (below). After the playoffs, the NFL will audit incentives, bonuses, etc by team. That figure will be added/subtracted to the number below. The sum + the 2022 Salary Cap = each team's 2022 adjusted cap number.
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πŸ“…︎ Jan 17 2022
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TIL astronomers often use inaccurate explanations to make their field more accessible to the general public. For example, in this comparison of Earth to a sunspot, the Earth isn't actually in the location depicted, because it would then be immediately incinerated, killing all life.
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πŸ‘€︎ u/GeneReddit123
πŸ“…︎ Jan 17 2022
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Some kind of sieve collecting something. Miles from the nearest paved road in the middle of an old lava field outside of Hilo, HI.
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πŸ‘€︎ u/cadmiumredlight
πŸ“…︎ Mar 14 2019
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Computershare upgrades DRS support for international apes: "We have set up a dedicated number to field GameStop enquiries: + 800 3823 3823. This is free to phone from a landline in the following countries:" πŸ’ŽπŸ™ŒπŸš€
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πŸ‘€︎ u/yesbabyyy
πŸ“…︎ Dec 05 2021
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ELI5: General Number Field Sieve

I am taking a parallel programming course next quarter and my college has been granted a fairly massive GPU cluster. I am interested in implementing a parallelized RSA cracker as my final project. (For science)

Can someone explain like I'm five how General Number Field Sieve works?

I've gathered that it may be best to work my way up from Rational Sieve -> Special Number Field Sieve -> General Number Field Sieve

Can r/AskComputerScience help shed any further light on this for me?

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πŸ‘€︎ u/andrewguenther
πŸ“…︎ Feb 21 2012
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