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)
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!?
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!
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?
@@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,
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!
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.
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.
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!
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.
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!!!!!!!
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?".
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.
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!
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.
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.
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.
