Home
Creators
Search Recent Missing Random
Posts
Search DMs Popular Hash Lookup Tags Random
Importer
Import FAQ
Register Favorites Keys Review DMs Logout
Community
Telegram ThePornDude
Home Creators Posts Import Register Favorites Logout

Find your own ABC triple! (Patreon)

Published:
2021-10-08 09:19:56
Edited:
2021-11-06 10:28:43
Imported:
2021-10

Content

I have yet another video coming out today! Yes, third one this week. Which is too many, some would say. (This is the downside to my ‘just release the videos when they’re done’ upload schedule.)

Anyway, the video will feature a website which lets you find new ABC triples completely within your browser. I explain more in the video obvious but I thought I’d ask if a bunch of you could jump on the site now to give it a light stress test. The page also has a GitHub link for reporting any bugs.

UPDATE: Your name is only an input so in our database we know who discovered which ABC triple. It does not affect the numbers.

Video is now live: https://www.youtube.com/watch?v=ueEOHk1UzrA

Files

Unbeaten

Comments

PeteyPak

The link is above the post - I didn't see it either.

mscha

100498840557921 + 21814125591462400 = 21914624432020320 Note that a and b are coprime. a and c are not (gcd 1521) and b and c are not (gcd 1120). Is that as expected? Edit: actually, 100498840557921 + 21814125591462400 ≠ 21914624432020320, that is definitely worse. A Parker Sum?

PeteyPak

I got a bunch of numbers for my first name and none for my usual nickname/username, so I guess I've tested both cases! I have no idea what I'm looking at though...

Maarten Daalder

For Maarten Daalder: We found 1 triples for 31 ≦ rad(a) < 32, 41 ≦ rad(b) < 42! Here you go: 961 + 4750103280 = 4750104241 q=1.0940633907901638

Viniter

it sure crunches some numbers! no idea what they mean tho, gotta wait for the video I guess

David Collison

david gave We found 10 triples for 29 ≦ rad(a) < 30, 51 ≦ rad(b) < 52! Here you go: 23409 + 353814783205445632 = 353814783205469060 q=1.0081207798419314 707281 + 31526912 = 32234193 q=1.0205233906812932 1382278041 + 353814781823191000 = 353814783205469000 q=1.0110479624078645 24389 + 1007680667500 = 1007680691889 q=1.0293202334680844 14507145975869 + 203563648741924 = 218070794717793 q=1.0990485882105971 8795732166592 + 411911501133609 = 420707233300201 q=1.001019213836023 594823321 + 734598629563760 = 734599224387081 q=1.0594230744998334 500246412961 + 1038542951948288 = 1039043198361249 q=1.0303691452091162 29 + 112393681331223364 = 112393681331223400 q=1.0439599145215714 14507145975869 + 4292272945284343750 = 4292287452430319600 q=1.0177456176175221

Phil D

The site seems to work, and generates triples, although I have no idea what these triples are or what I am generating!

Balázs Jókay

I guess the name is not connected to the algorithm, or if yes it's randomly doing something with it, because for the same name I got this first and then 1 triples and then 0 triples :)! We found 2 triples for 39 ≦ rad(a) < 40, 61 ≦ rad(b) < 62! Here you go: 3721 + 136606373888 = 136606377609 q=1.0892767216067827 13845841 + 152858736474752000 = 152858736488597860 q=1.0444170936107158

Florian Linscheid

I don't know what is's supposed to do but the results seem to be completely random. I leave the name unchanged and press start multiple times and the algorithm finds between 0 and 10 or so triples. Changing every time. So yeah, it does *something* but very mysterious for me.

David Collison

and three attempts with davidcollison gave We found 75 triples for 55 ≦ rad(a) < 56, 57 ≦ rad(b) < 58!, We found 0 triples for 51 ≦ rad(a) < 52, 69 ≦ rad(b) < 70 and We found 17 triples for 15 ≦ rad(a) < 16, 71 ≦ rad(b) < 72!

Balázs Jókay

I also tried with a white space, dot, exclamation mark, and numbers and it worked fine, at least it didn't crash :)!

Michael Wheeler

(input: Michaela) We found 63 triples for 5 ≦ rad(a) < 6, 77 ≦ rad(b) < 78! Here you go:!

Derek Chandler

Third one?! What about that non-Parker square finite fields Numberphile video? You’re nearly as ubiquitous as Bradley Walsh…

Derek Chandler

Please enter a name: Derek We found 7 triples for 39 ≦ rad(a) < 40, 79 ≦ rad(b) < 80! Here you go: 6241 + 35114532758009600 = 35114532758015840 q=1.0099241471254947 38950081 + 1878555211478750 = 1878555250428831 q=1.0199269610857908 425671232 + 3077056399 = 3502727631 q=1.0697105081445242 3077056399 + 134153950280 = 137231006679 q=1.0739565847030104 3077056399 + 896271366436250 = 896274443492649 q=1.020364089943409 19203908986159 + 318908283332656250 = 318927487241642430 q=1.0419771352285645 1517108809906561 + 33278492514089120 = 34795601323995680 q=1.0284919908463157

Elaine Hewitson

No idea what I’m generating but it seems to work!

Daniel Busse

We found 1 triples for 53 ≦ rad(a) < 54, 83 ≦ rad(b) < 84! Here you go: 148877 + 2252292231990164 = 2252292232139041 q=1.0811240705192453 We found 4 triples for 65 ≦ rad(a) < 66, 83 ≦ rad(b) < 84! Here you go: 6889 + 108951568603508736 = 108951568603515630 q=1.0033249225803667 47458321 + 73211904 = 120670225 q=1.1495922920923753 1073872066123416 + 1178420166015625 = 2252292232139041 q=1.0389113996919574 2252292232139041 + 12309010969411584 = 14561303201550624 q=1.0808192484324726 We found 4 triples for 77 ≦ rad(a) < 78, 83 ≦ rad(b) < 84! Here you go: 47458321 + 7535366485048800 = 7535366532507121 q=1.0003784357569347 3939040643 + 365558297224968 = 365562236265611 q=1.0162692476340809 4135720120609 + 2248156512018432 = 2252292232139041 q=1.0188951555295682 2252292232139041 + 366980667860709888 = 369232960092848960 q=1.0191211336719845 We found 14 triples for 19 ≦ rad(a) < 20, 85 ≦ rad(b) < 86! Here you go: 1445 + 799006685782882676 = 799006685782884100 q=1.0122719369967648 6461114 + 887410625 = 893871739 q=1.1237694950203905 47045881 + 70509594744 = 70556640625 q=1.0272653949994872 377149515625 + 5753916742176 = 6131066257801 q=1.0356480934323828 871969680125 + 5259096577676 = 6131066257801 q=1.0310461988708297 130321 + 20390869010304 = 20390869140625 q=1.0022116770742997 361 + 108996210015264 = 108996210015625 q=1.0916125674503043 6131066257801 + 102865143757824 = 108996210015625 q=1.0002395494396157 108996210015625 + 798897689572868496 = 799006685782884100 q=1.0417456510112861 16983563041 + 1102430526202584 = 1102447509765625 q=1.016101833749882 361 + 68122631259765264 = 68122631259765624 q=1.013865594978102 318607330322265625 + 480399355460618496 = 799006685782884100 q=1.0041634848069139 11509068419993496 + 787497617362890625 = 799006685782884100 q=1.0775532918133508 116490258898219 + 2342584467993054906 = 2342700958251953000 q=1.0342786223672027 We found 14 triples for 23 ≦ rad(a) < 24, 85 ≦ rad(b) < 86! Here you go: 529 + 112890096 = 112890625 q=1.0218063844684118 15085980625 + 41411425233024 = 41426511213649 q=1.2352767097173547 23 + 352783203102 = 352783203125 q=1.067597466674988 12167 + 1199462878458 = 1199462890625 q=1.0294228994601642 1199462890625 + 21913424969129696 = 21914624432020320 q=1.029646967857892 2671389176976 + 41426511213649 = 44097900390625 q=1.0195008107839574 5892961181640625 + 16021663250379696 = 21914624432020320 q=1.0246049806678676 279841 + 12744293212610784 = 12744293212890624 q=1.0302499142631936 78310985281 + 147323951230030344 = 147324029541015600 q=1.1429520721827624 529 + 318607330322265096 = 318607330322265600 q=1.0162490000063449 148035889 + 364138898120564736 = 364138898268600640 q=1.018631797122507 41426511213649 + 364097471757386976 = 364138898268600640 q=1.0462154465564253 21914624432020321 + 1681151157062120304 = 1703065781494140400 q=1.0098303367195238 279841 + 3683100738525110784 = 3683100738525391000 q=1.0519232398988432 Seems to work great!

Codex404

are you sure this isn't just using Random functions? Using the same input multiple times give out different results 🤔

Daniel Busse

It seems to search with different (random) ranges for a and b everytime, that's why you get different answers

Frank Gevaerts

503 right now. That's what stress testing is for :)

Ben Avery

It's working well for me! Most times it is taking less than 10 seconds to return a result. Some times it's longer (but that may be a result of the algorithm not the load on the site) and twice it was going on long enough for me to give up on it. But I was very excited the one time it returned six triples - can't wait for the video to learn all about them!

Richard Aquilina

I've used the site. I can confirm it appears to work but I too don't understand the output.

Maarten Daalder

I think it's just finding new triplets every time, not based on the name input. [EDIT] Since it mentions abc@home, there is probably a time limit it allows the computation to run in the browser, and it just outputs whatever triplets it finds, meaning 0 or more triplets.

Lance Boudreaux

As others have said, worked for me and took about 30 second but have no clue what the results mean.

Rafael Martinez

Good morning. Tried it, did not crash. Did not find any triplets in my first 5 attempts, with name variation, all with letters only. Found 5 on my son's email address.

Karen Hummelhoff-Jeppesen

Like people say - no issues here. Generates some non-zero amount of triples in a fair amount of seconds (first try did run for long enough that I was starting to think nothing would happen)

Beanedict Cumbfurbatch

I don’t really understand this, but I tried it and it did a thing, so no obvious bugs for me I guess?

Djokjula

I like how my PC goes whoooom, when I press the button.

Phil Brady

"We found 0 triples for 163 ≦ rad(a) < 164, 219 ≦ rad(b) < 220." *sad trombone noises* Edit: Better this time, I guess? We found 3 triples for 185 ≦ rad(a) < 186, 219 ≦ rad(b) < 220! Here you go: 657 + 120214609310445568 = 120214609310446220 q=1.0320110890085932 2290817351457 + 185411531708039168 = 185413822525390620 q=1.0492750176549481 578125 + 1505066999329124 = 1505066999907249 q=1.0267068474498653

Eric Sharakan

I had to consult the Wikipedia link to understand what I was looking at. I produced three abc triples (I'm assuming they're valid abc triples), all with q > 1. Guess I'm pretty special. :-)

jemus42

Neato! We found 4 triples for 177 ≦ rad(a) < 178, 221 ≦ rad(b) < 222! Here you go: 13867422257 + 11893251578527744 = 11893265445950000 q=1.075407922638039 1593 + 69347234144 = 69347235737 q=1.0659280799187392 22416464978706681 + 1115485310488387840 = 1137901775467094500 q=1.0213000504630034 379741781645590528 + 1566137585869145073 = 1945879367514735600 q=1.0724021935975991

Keith Moser

Can’t wait for the video to come out to understand what I just did… website took about 5 mins but then gave:

Keith Moser

We found 6 triples for 155 ≦ rad(a) < 156, 221 ≦ rad(b) < 222! Here you go: 18458141 + 96981984 = 115440125 q=1.0448887034736745 1178903007529 + 5416891405325508096 = 5416892584228516000 q=1.0409080897899747 7006106591424 + 45093798828125 = 52099905419549 q=1.0168570674060826 340702969175881 + 12985719490839744 = 13326422460015624 q=1.0375101404205995 72150078125 + 44030776278122496 = 44030848428200620 q=1.0477736040029761 137563070555 + 2188911607709141522 = 2188911745272212000 q=1.001988144469606

Ian D Findlow

Unfitcheetah We found 5 triples for 21 ≦ rad(a) < 22, 223 ≦ rad(b) < 224! Here you go: 49729 + 64336683723332 = 64336683773061 q=1.020897497831178 49729 + 3243919932521458952 = 3243919932521509000 q=1.0022626083846993 2472973441 + 218041254994178720 = 218041257467152160 q=1.0222164278448587 2472973441 + 1628150071862231840 = 1628150074335205400 q=1.1334001480134814 122978496247489 + 360312569561697920 = 360435548057945400 q=1.139970953049011

Paul Pollard

I'm really not clever enough to understand what's going on without a lovely video telling me but I put my name in, clicked the button a few times and found 44 triples for 13 ≦ rad(a) < 14, 231 ≦ rad(b) < 232! Am going to keep pressing the button to see how long it goes before my PC gives up...

Isaac Saccaro

"We found 27 triples for 19 ≦ rad(a) < 20, 231 ≦ rad(b) < 232! Here you go:" rad(b) has a massive range if its between 231 and 232 factorial 😂

Isaac Saccaro

I wonder how much confusion has occurred from people using proper punctuation in sentences with formulae

Phil Boswell

name="NotACat" We found 5 triples for 167 ≦ rad(a) < 168, 231 ≦ rad(b) < 232! Here you go: 777796321 + 2069600000 = 2847396321 q=1.0505963686354174 777796321 + 13129832149286 = 13130609945607 q=1.008405395517427 129891985607 + 1903130182863467944 = 1903130312755453700 q=1.0162041720973798 129891985607 + 4272552694039552000 = 4272552823931537400 q=1.0899745705288848 604967116961135041 + 7502698691883200000 = 8107665808844335000 q=1.0356824596268006

deemes

We found 5 triples for 187 ≦ rad(a) < 188, 235 ≦ rad(b) < 236! Here you go: 276125 + 29516166696197684 = 29516166696473810 q=1.008091981086523 28668125875 + 82426404680704 = 82455072806579 q=1.0451995661752098 202779296875 + 71013016100769192 = 71013218880066060 q=1.0152573555991924 13482666015625 + 3571442687607315264 = 3571456170273331000 q=1.029975194488332 353398147729 + 1190974970992896 = 1191328369140625 q=1.0221818197691268 I have no idea what I'm looking at (:

Tahg

c should be 21,914,624,432,020,321. Not sure if that's an actual error or just a display error?

AuntieSash Hazlewood

Best was 5 (my full name). A couple with 1-2. Many results of 0 (including my dog, SCA name, every Senegalese name I entered).

a39 studios

It's quite fast when there's no triple to be found in a given interval. Does speed depends on how many triples are in there?

mscha

Don't know where the error is – perhaps a precision problem – but looking at the examples posted here, around half of the sums are Parker Sums. I've reported a bug in GitHub.

DrDelvan

Seems pretty responsive, and it even didn't blow up when I fed it garbage characters like the name:   (which print like spaces but are not ascii spaces)

Eric Sharakan

Given the large percentage of folks showing triples where q > 1, while the Wikipedia page (https://en.wikipedia.org/wiki/Abc_conjecture) notes "Triples with q > 1 such as in the second example are rather special", I fear something is not right with the algorithm on the website.

mscha

The video at around 21:30 contains quite a few Parker Triples. The top half of the examples are fine, but then it goes all wrong: ...0625 + ...7308 = ...8000 ‽ (I tried to comment on YouTube, but it doesn't seem to like me pointing out mistakes, it seems – the comment is gone.)

DrDelvan

Since it looks like all the processing is done client side, thought I'd do a test to see if it will store incorrect solutions if a nefarious party were to muck about with it. So if there's nothing on the server side that checks if a submission is valid you may have both some normal looking results and one particularly dessert-like result stored under the name "Pi Test Server Side Check". I didn't get any error messages client-side to suggest that the submission was rejected.

Jan-Willem Markus

This 'game' is more addicting than cookie clicker. Numbers go up! We found 30 triples for 123 ≦ rad(a) < 124, 385 ≦ rad(b) < 386! Here you go: 1630475 + 1953759895552 = 1953761526027, q=1.0661938202577865 https://pastebin.com/5QSEMEXQ

epsalon

I found 3 for epsalon: We found 3 triples for 105 ≦ rad(a) < 106, 449 ≦ rad(b) < 450! Here you go: 449 + 1483094059452676 = 1483094059453125, q=1.0301187729752 7847058515625 + 10401631961624 = 18248690477249, q=1.0111550729407033 8193662024284801 + 10958538172980824 = 19152200197265624, q=1.0034826311177873

James P Kislanko

Some of these, including mine, don't seem right. We found 1 triples for 145 ≦ rad(a) < 146, 527 ≦ rad(b) < 528! Here you go: 72535729879345 + 17988753624243246 = 18061289354122590, q=1.0031757369953427 a+b is not = c (c as shown is 1 less than a+b) and b = 2 * 3^2 * 13^5 * 2691607979 so rad(b) is definitely not less than 528.

LonMcGregor

I remember running distributed stuff through BOINC. How far we've come that it now "just works" in a web browser. Edit: found one: We found 1 triples for 863 ≦ rad(a) < 864, 903 ≦ rad(b) < 904! Here you go: 554680863361 + 325066877286072668 = 325067431966936000, q=1.0120954471760186

Xavier F. G.

Here's some that it found for me : We found 10 triples for 255 ≦ rad(a) < 256, 923 ≦ rad(b) < 924! Here you go: 851929 + 19851189696413696 = 19851189697265624, q=1.0132893173540591 26361803 + 126198376546435072 = 126198376572796880, q=1.0027440681862707 1665303690973 + 765862134745137152 = 765863800048828200, q=1.0026236508291992 21297855 + 9787931623424 = 9787952921279, q=1.0275118843064208 22458384467987 + 1728487660453888 = 1750946044921875, q=1.1138087507561578 51530594493911 + 4868712997676990464 = 4868764528271484000, q=1.00021680548211 6553204091296 + 1537075306768079 = 1543628510859375, q=1.0020149096178579 6399435375 + 279553716985214144 = 279553723384649500, q=1.023487400703495 4079014239494144 + 275474709145155375 = 279553723384649500, q=1.004405780253271 19093194228515625 + 3484122823779372544 = 3503216018007888400, q=1.0072425057878895

Arnim Sommer

Huh, whole family ist triple-less…

drimtajm

We found 1 triples for 629 ≦ rad(a) < 630, 1133 ≦ rad(b) < 1134! Here you go: 33044331961 + 2919279956669291520 = 2919279989713623600, q=1.0134873153212387

drimtajm

Some more: We found 5 triples for 217 ≦ rad(a) < 218, 1245 ≦ rad(b) < 1246! Here you go: 5513700375 + 298900062208 = 304413762583, q=1.011731114258317 1519 + 55826216295356 = 55826216296875, q=1.0426470321682217 3647788958116 + 408697998046875 = 412345787004991, q=1.0608558009738207 5930257150976 + 3236831537545039 = 3242761794696015, q=1.000999158771733 5129241943359375 + 3105465865637423104 = 3110595107580782600, q=1.034296754645337

JohnyDL

I'm coming up on 1500 found triples so thought I might share some of my best ones: {"a":"402218518849","b":"3814221805387400","q":"1.2046817352269337"} {"a":"1721","b":"3827313147904","q":"1.2133205697434768"} {"a":"6103515625","b":"15593548685312","q":"1.214248707085042"} {"a":"33821450663","b":"60108170231283712","q":"1.2186118919721025"} {"a":"150862295436803125","b":"2984309233326793856","q":"1.2313237001955097"} {"a":"407555836801","b":"1353409094553824","q":"1.2497721300715847"}{"a":"3982092585515253","b":"11337369572687872","q":"1.2528095388881635"}{"a":"14321763475","b":"25331189547008","q":"1.2538955382586343"} {"a":"15921446912","b":"102666429585","q":"1.2771028194652545"}{"a":"265112484325","b":"145750957876352","q":"1.299296421064479"} {"a":"100450372012732224","b":"2358279277394046875","q":"1.310077198552674"} {"a":"184207739625","b":"976083480541134848","q":"1.3883856734866593"} has anyone beat 1.4? and at the other extreme: {"a":"557823692","b":"13777893348183","q":"1.0000228355400287"} {"a":"256660135838","b":"4635825851692287","q":"1.0000288026087893"} {"a":"221779539","b":"368961334006736086","q":"1.0000433433555767"} {"a":"1733332107","b":"2658367155249089768","q":"1.0000436916898496"} {"a":"10367124113549","b":"70201960836718750","q":"1.0000604259111905"} has anyone gotten closer to 1 than these?

JohnyDL

The "game" connects to a server and gives you the next set of radicals to test when you find something you send those results back to the server. So you'll get new results every time regardless of the name you use (at some point I hope the names can be used to look up high scores in the database so you might want to stick to one name)

JohnyDL

the longer this runs the less likely triples are to come out, but each time you click the go button you have a new chance soon (I hope) the go button will just continue until you find one, but it's entirely luck of the draw.

JohnyDL

might be worth taking that to the git hub ;) I mentioned there that sanity checking the found results might/should be necessary eventually.

Balázs Jókay

Thanks, but I only tried once with my own name and then just did a quick testing with the mentioned cases. I think I won't "playing" it in the future :)! But it won't be hard to write a script which can fill the name box and then pressing the button, if you want a crowdsourced data collecting :)!

DrDelvan

Good point, created a new issue there. Shouldn't be too expensive to check if a submission is valid, which could happen with a nefarious user or just someone who hasn't yet noticed they have some a RAM or CPU issue evolving.

Shad Sterling

I guess they're getting less common as rad(b) increases We found 1 triples for 1771 ≦ rad(a) < 1772, 2949 ≦ rad(b) < 2950! Here you go: 664858939546496 + 3311964308052904887 = 3312629166992451600, q=1.015188862024858

sim1

Who is more geeky, you for wearing the t-shirt or me for working out what it said?