Aaron Numbers - Numberphile
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- Опубликовано: 8 сен 2024
- A story of baseball, number theory, and serendipity.
More links & stuff in full description below ↓↓↓
Featuring Carl Pomerance from the Department of Mathematics
at Dartmouth College.
Images from Erdös/Aaron meeting courtesy of Rob & Madelyn Gould - www.mathcs.emor...
Watch Hank Aaron's famous homerun: • Vin Scully calls Hank ...
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumb...
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Writes joke article, which lets him meet both the most famous mathematician of the century AND the athlete the article was about.
Wow.
Who else thought this video was going to be about the factorial of 715 based on the thumbnail?
False advertising right there.
I thought it was, but when they started talk about baseball, I felt heartbroken
I did. Thanks for the false advertisement Brady.
Yep
Clickbait!
What a fantastic story - loved the twist at the honorary degree ceremony!
Let. Life. Happen.
"That's perverse, but let's do it."
Exactly what I like to hear from a mathematician!
Perhaps an admission that some mathematicians are perverts
This video tells an amazing story. I love it.
just gave ya the 714th like btw ;p
false.
4:38 "That's perverse, but let's do it."
This is the raunchy numberphile content that I subscribed to see.
I had to make sure to pause and lock my door haha
I thought it was going to be, judging by the title:
715x714x713x712x711x710x709x708x707x706x705x704x703x702x701x700x699x698x697x696x695x694x693x692x691x690x689x688x687x686x685x684x683x682x681x680x679x678x677x676x675x674x673x672x671x670x669x668x667x666x665x664x663x662x661x660x659x658x657x656x655x654x653x652x651x650x649x648x647x646x645x644x643x642x641x640x639x638x637x636x635x634x633x632x631x630x629x628x627x626x625x624x623x622x621x620x619x618x617x616x615x614x613x612x611x610x609x608x607x606x605x604x603x602x601x600x599x598x597x596x595x594x593x592x591x590x589x588x587x586x585x584x583x582x581x580x579x578x577x576x575x574x573x572x571x570x569x568x567x566x565x564x563x562x561x560x559x558x557x556x555x554x553x552x551x550x549x548x547x546x545x544x543x542x541x540x539x538x537x536x535x534x533x532x531x530x529x528x527x526x525x524x523x522x521x520x519x518x517x516x515x514x513x512x511x510x509x508x507x506x505x504x503x502x501x500x499x498x497x496x495x494x493x492x491x490x489x488x487x486x485x484x483x482x481x480x479x478x477x476x475x474x473x472x471x470x469x468x467x466x465x464x463x462x461x460x459x458x457x456x455x454x453x452x451x450x449x448x447x446x445x444x443x442x441x440x439x438x437x436x435x434x433x432x431x430x429x428x427x426x425x424x423x422x421x420x419x418x417x416x415x414x413x412x411x410x409x408x407x406x405x404x403x402x401x400x399x398x397x396x395x394x393x392x391x390x389x388x387x386x385x384x383x382x381x380x379x378x377x376x375x374x373x372x371x370x369x368x367x366x365x364x363x362x361x360x359x358x357x356x355x354x353x352x351x350x349x348x347x346x345x344x343x342x341x340x339x338x337x336x335x334x333x332x331x330x329x328x327x326x325x324x323x322x321x320x319x318x317x316x315x314x313x312x311x310x309x308x307x306x305x304x303x302x301x300x299x298x297x296x295x294x293x292x291x290x289x288x287x286x285x284x283x282x281x280x279x278x277x276x275x274x273x272x271x270x269x268x267x266x265x264x263x262x261x260x259x258x257x256x255x254x253x252x251x250x249x248x247x246x245x244x243x242x241x240x239x238x237x236x235x234x233x232x231x230x229x228x227x226x225x224x223x222x221x220x219x218x217x216x215x214x213x212x211x210x209x208x207x206x205x204x203x202x201x200x199x198x197x196x195x194x193x192x191x190x189x188x187x186x185x184x183x182x181x180x179x178x177x176x175x174x173x172x171x170x169x168x167x166x165x164x163x162x161x160x159x158x157x156x155x154x153x152x151x150x149x148x147x146x145x144x143x142x141x140x139x138x137x136x135x134x133x132x131x130x129x128x127x126x125x124x123x122x121x120x119x118x117x116x115x114x113x112x111x110x109x108x107x106x105x104x103x102x101x100x99x98x97x96x95x94x93x92x91x90x89x88x87x86x85x84x83x82x81x80x79x78x77x76x75x74x73x72x71x70x69x68x67x66x65x64x63x62x61x60x59x58x57x56x55x54x53x52x51x50x49x48x47x46x45x44x43x42x41x40x39x38x37x36x35x34x33x32x31x30x29x28x27x26x25x24x23x22x21x20x19x18x17x16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1
=
136319787081421377246779991559707906619889069038157287114278521674939133 066279289545773038691211976293703301607301099022816171030948802621618019858207 548174891412699537260290615632096263049377502214796917517008873003467023868604 532778759565756736864556383299364292559543774908821410207103293611352187421611 961024975260594369493904048971786798700039241839138159000455489520957006136755 093263300779680489747473630164992831042787270743645524667946219738534903340529 688948674356493719947703923116118893703155604332921243096392113605131600105357 653398278646294719627047118201347135693213452351792005880866705916337541969336 359892960704106268251515128426322110223553445400711526387920467606837320848019 938934718823553345916654420655468226227277555042969970002452803039587074419440 153496021863250689507155293602857809459995914538110180805241416384560251894140 709024553737075030255123299857727860884814736665999324823668865565659353931461 182211150189935349050515777058743903173565293228733130642385663378591722017957 541185851923980707950096178459771576030225369250970264313852568313168110638031 365483680624026948387023910506840889112003290542642579370084831869957037140289 527172342577653232374430389649030021822697807423076102714909937296992236448422 694168032408489127934736710697164996453520666069598979228141577597252355327772 372619811136321239602451807773650738717546907325180305402874962001784641040026 079068567330686374566973836186079221345064699873570945920268367618011671123075 987177593346956202233804442859574597083675279670241878520496626846890157062225 920000000000000000000000000000000000000000000000000000000000000000000000000000 000000000000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000000
... and I see no interesting properties (yet)
Agent M duuude , can you take the 100th power of this
Sarp Kaplan thats overpowered...
Agent M If you multiply this number by e/(715!), you get euler's number!
Wow, what a coincidence!
Der Fret Wow.! You deserve an Oscar for telling that.
This was probably one of the cooler stories I've ever heard
If you're just a baseball fan, 715! isn't all that misleading. It was the NY Daily newspaper headline, and probably the most famous of them.
The fact that Erdos and Aaron were in the same ceremony
what an absolutely crazy moment
I found another interesting property.
If you subtract one from the other, you get 1.
This property appears in many neighboring number pairs, as in 716 and 715, 717 and 716, and 718 and 717. Have we discovered that 715 and 714 are the start to a large and unique cluster of numbers with this amazing property!?
Also, if you subtract one from one of them, you get the other.
Yes, smart, but can you generalise it for all +ve adjacent pair of integers, I have a hunch you can't and a'm looking for an exception.
Also if you turn them upside down you get "SIL" and"hIL", which rhyme.
Eoin D, bonus fact: that's where the name of the game Silent Hill comes from.
Amazed by how unpredictable this story is
This story is just too good, come on tell me Brady made it up! Every minute the story and the mathematical properties got more and more interesting.
There seems to be a rogue factorial in the video thumbnail.
r/unexpectedfactorial
*_715!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!_*
715!715 in HAN (Hyperfactorial Array Notation)
TREE (715)!!!!!!!!!!!!
3:49 That might be the most 1974-looking guy I've ever seen.
So - you got an Erdös-Number of 1 out of a joke? Fantastic!
An Erdös number of 0.05, actually.
In the other video, Ron Graham said that if you had n papers with Erdös, your number would 1/n.
"That's perverse, but let's do it!"
Sounds like a herald of discovery ^^
Professor- Hank...your and Ruth's hr totals when multiplied together is the product of consecutive primes.
Aaron - Wut?
"just looks like a new baseball". Heart breaks
A great video telling a great story! I like when my math comes packaged with history.
+Mage of Void thank yiu
Mage of Void h
@@numberphile 715! = 1.36319787081421377246779991559707906619889069*10^1732
"It's perverse, but let's do it!" :D
Stan Musial hit 475 home runs. 475 factors into 5x5x19. 5+5+19=29. Same as Ruth and Aaron.
Although I do agree writing a paper with Dr Erdos was a great honor, the man did in fact write papers with just about everyone. To the point where it spawned the "erdos number" which measures a math authors prominence based on how many steps removed in paper authorship they are to erdos. Which , of course makes Dr Pomerance a degree #1 mathematician, which is to say, an important guy!
Oh, I expected a bit more traffic. Bless your soul Hank.
My grandmother heard the name Hank Aaron from the video and asked me about it. And the moment I paused the video was accidentally 7:14
Watching after Mr. Aaron passed away. Rest in Peace
Wow! I'd heard the Erdős-Aaron story before, so imagine my surprise when it was this guy's baseball. Also, Dr. Pomerance sure has aged well.
That Baseball would probably cost millions by now if the signature was still visible. RIP Money xD
He could rewrite them you silly person, then he still gets the monies.
If by "millions" you mean "a couple hundred" then you're correct.
Might be there are mathematicians with money, who would pay more than a couple hundred. Some have billions. :)
+Jason Vanhoy
"10^6" ≈ "10^2"
Get out, you filthy physicist.
Fabolous ramifications of a world record. Thank you for that story!!
And the Braves won the World Series in 1995 also. Enjoyed the story. Hank was a legend. He is missed.
One of the most wholesome videos on this channel
One of the reasons I admire Numberphile videos started from a wonderful article about Paul Erdos in The Atlantic magazine sometimes during the 1990's. I love baseball and softball, so this was a really great video. Thanks - so much!
It's actually amazing how Erdos changed so many people's lives
Maybe Periodic Videos could have a go at restoring the signatures?
That's a brilliant idea! Someone should tweet this at Brady...
cogwheel42 bump!
Could try a UV light on the baseball
ha ha ha!!.... What a story mark!!
What's a story mark?
oh hi doggy
“I GOT THE RESULTS OF THE TEST BACK. I DEFINITELY HAVE BREAST CANCER.”
I feel bad for the student who gave them this idea in the first place and has been lost in nameless obscurity ever since.
YES! I just made a comment about that. They just took credit for the student's idea!
Another off thing about Hank Aaron's homeruns. They're all about 4's:
1) the most most homeruns Aaron had in a season is 44. He did that 4 times.
2) He tied with Willie McCovey in one season . Both players wore the number 44.
3) He hit homerun 715 in the 4th inning off Al Downing. Who also wore number 44.
The best story ever told in numberphile, I wish there are tons of other great number related stories
This is probably my favorite Numberphile video
This is the first Numberphile video that brought a tear to my eye
I have gone through all comments to find one saying how touching this video is!
If you do things that interest you for no other reason than they interest you, odds are you will have a fulfilling life. Thanks professor.
This one got me in the feels.
did the student that added the primes get ANY recognition or prize, like bonus points on an exam, a "thank you" to the student on your paper, or something?
I think he was mentioned in the article
@@mickeymoose636 I presume students have to learn and pass exams. Professors have time to persue research and publish papers which is how they get funding for them and their institutions, no funding = no teaching to students so it balances out. Surprised the effect had not been noticed or published before though,
7:00 - when a funny anecdote turns amazing...
This guy is great,I want more videos of him
Brilliant. I will show this to all my friends.
What a great story. I had very low expectations coming here, but really enjoyed this.
The question related to the first property of 714 and 715 can be restated as "Which numbers are both primorials and pronic numbers?". The primorials 2#, 3#, 5#, 7#, and 17# are 5 examples. The corresponding indices in the pronic numbers are 1, 2, 5, 14, and 714 respectively. Searching for larger examples of the first property of 714 and 715 is thus equivalent to searching for larger pronic primorials. By dividing by 2, this is also equivalent to asking "Which triangular numbers are the product of the first n odd primes for some n?".
What a fantastic story. One of the best Numberphiles. Thank you
Listening to Hello Internet and then getting a notification of Numberphile! Couldn't be happier
A truly great story
"What if I changed these time signs into plus signs? You know.. That's perverse, but let's do it."
I wasn't expecting such an awesome (non-math) story to be told when I clicked on the thumbnail!
Very moving and narrative, almost like a script for a movie
Was there a correlation between posting this video on the 10 year anniversary of Barry Bonds breaking Hank Aaron's home run record? If not, that is a crazy coincidence.
As a lifelong Orioles' fan, and a Marylander for most of my life, much kudos do I give you for the Cal Ripken Jr. baseball card images scene in the montage at the beginning of this video!
When Erdös received his honorary degree in 1995, that was also the same year that Ripken broke the consecutive games played record
Thanks for this wonderful story.
Nice.
Nice
Bepo yes... nice :)
nice
blah
nice
This story is just amazing. Life is beautiful.
Heart warming story somehow.
This video made me smile. Such an amazing story!
Wow cool re-combinations (Ruth-Aaron and Erdos-Pomerance ).
You never know where greatness might come from.
Look at the ball with uv light. You will see the signatures. Most likely the ball was signed with the Flair felt tip pen that was popular in the mid 1970's. The older pens left a trace of ink that was visible under a UV flashlight.
Absolutely fantastic!
I am a huge math nerd, but yeah as soon as I saw the thumbnail I immediately knew it was about Aaron and Ruth. And yeah even most non baseball fans in America know that story.
Brady, I watched this following today's Primitive Numbers Video, with Jared Lichtman.
I broke down as Prof Pomerance described his burgeoning relationship with Paul Erdos. I recall Erdos met and mentored Terrence Tao. It just fills me with joy to hear about such wonderful human beings.
Cheers cobber.
Boy! This is the greatest maths story we've never heard of!
An amazing story!!! What's more is that he doesn't refer to those amazing circumstances as 'fate' or anything of that sort... he's a mathematician and therefore realises that highly improbable things happen with surprising frequency!
Aaron is in the booth of Sunday Night Baseball tonight, so I had to rewatch this video!
Absolutely amazing story, with my favorite sport to boot! Thanks Brady!
Great story. Seemes fitting: Erdős was to problem-focused mathematics what Aaron was to baseball.
What a great story. Truly a great watch.
" Baseball is not boring to me, I friggen love it ! ⚾️
The reason it tops out at 715 is that two circles total 720 degrees: the resolution of our number set is limited by "twice" and "half", because it's created around the radius, diameter, base, and height within 2 circles.
John Makowichuk What?
This is amazing and I won't be forgetting this story. Thank you for sharing this.
Anyone else notice that the scoreboard in the bottom left at around 0:25 is impossible? There would be no bottom of the ninth - the home team would already be up 4-3 and have won by that point.
Yes, I did too.
Fabulous Video! Also a smart idea to wear a graph paper being a Mathematician :))
the lighting here was perfect, loved the colors! A great video of a great story, thanks!
This video inspired me to write a paper about Aaron and his encounters with racism on the trail to his record
I'm so glad Hank Aaron got to hear your story!
Try using non-visible spectrum cameras to try and image the signatures on that baseball.
One of the great mathematics story
When he mentioned Paul Erdős, I could somewhat sense they'd maybe write a joined paper :D
Wow, what a story. Life is stranger than fiction.
RIP Hank Aaron :(
Old school Numberphile!!!!
Just talking about a couple of specific numbers and why they are awesome.
This is the kind of video that I first subscribed for!!!!!!!
maybe your physics dept can shine an ultraviolet light on the baseball ...
I really enjoyed this video. Nice human touch. 👍
+Physi Marc thank yiu
Who would genuinely put a dislike on these videos ?
Very cool story with a surprising number of plot twists for a 9 minute math video.
+Christopher Hawkins glad you liked it
Now some world famous chemist must make those signatures reappear!
What a fantastic story! Amazing what can be a life changing moment.
The best motivational speech for any student.
More like this. This is why I love this channel. Thank you.
+fatsquirrel75 cheers for watchibg
What a wonderful story
I'm EUROPEAN. I can understand MATH, but not BASEBALL!
Me too
Try Cricket
@@jogolock1190
Aside from the British (and Irish?), not many European people have the slightest idea on what croquet is about (mistake intended, btw).
The greatest channel on youtube, in honesty.
What an amazing story!
For the factorization of the numbers, to find bigger examples I think you could set a code to run numbers together where the first is even (for the prime 2) and the second is a multiple of five (for the prime 5). I think this could work within reason if you set a limit of about a thousand numbers at a time.
What a great story! Very engaging. I like these videos that get more personal.
+Alexandre Hamada Possi cheers for watching and commenting