What is the coolest NUMBER?

<p>99,I like this #.
0328,my bitrhday, also a good one.</p>

<p>i^i … no one knows what it is.</p>

<p>

</p>

<p>299,792,458 m/s :cool:</p>

<p>My favorite integer is 12.</p>

<p>My favorite number is phi.</p>

<p>

</p>

<p>true, but " i^i " looks awfully like a pouty, teary face to me. :o</p>

<p>3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679<br>
8214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196<br>
4428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273<br>
7245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094<br>
3305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912<br>
9833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132<br>
0005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235<br>
4201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859<br>
5024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303<br>
5982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989<br>
3809525720106548586327886593615338182796823030195203530185296899577362259941389124972177528347913151<br>
5574857242454150695950829533116861727855889075098381754637464939319255060400927701671139009848824012<br>
8583616035637076601047101819429555961989467678374494482553797747268471040475346462080466842590694912<br>
9331367702898915210475216205696602405803815019351125338243003558764024749647326391419927260426992279<br>
6782354781636009341721641219924586315030286182974555706749838505494588586926995690927210797509302955<br>
3211653449872027559602364806654991198818347977535663698074265425278625518184175746728909777727938000<br>
8164706001614524919217321721477235014144197356854816136115735255213347574184946843852332390739414333<br>
4547762416862518983569485562099219222184272550254256887671790494601653466804988627232791786085784383<br>
8279679766814541009538837863609506800642251252051173929848960841284886269456042419652850222106611863<br>
0674427862203919494504712371378696095636437191728746776465757396241389086583264599581339047802759009<br>
9465764078951269468398352595709825822620522489407726719478268482601476990902640136394437455305068203<br>
4962524517493996514314298091906592509372216964615157098583874105978859597729754989301617539284681382<br>
6868386894277415599185592524595395943104997252468084598727364469584865383673622262609912460805124388<br>
4390451244136549762780797715691435997700129616089441694868555848406353422072225828488648158456028506<br>
0168427394522674676788952521385225499546667278239864565961163548862305774564980355936345681743241125<br>
1507606947945109659609402522887971089314566913686722874894056010150330861792868092087476091782493858<br>
9009714909675985261365549781893129784821682998948722658804857564014270477555132379641451523746234364<br>
5428584447952658678210511413547357395231134271661021359695362314429524849371871101457654035902799344<br>
0374200731057853906219838744780847848968332144571386875194350643021845319104848100537061468067491927<br>
8191197939952061419663428754440643745123718192179998391015919561814675142691239748940907186494231961<br>
5679452080951465502252316038819301420937621378559566389377870830390697920773467221825625996615014215<br>
0306803844773454920260541466592520149744285073251866600213243408819071048633173464965145390579626856<br>
1005508106658796998163574736384052571459102897064140110971206280439039759515677157700420337869936007<br>
2305587631763594218731251471205329281918261861258673215791984148488291644706095752706957220917567116<br>
7229109816909152801735067127485832228718352093539657251210835791513698820914442100675103346711031412<br>
6711136990865851639831501970165151168517143765761835155650884909989859982387345528331635507647918535<br>
8932261854896321329330898570642046752590709154814165498594616371802709819943099244889575712828905923<br>
2332609729971208443357326548938239119325974636673058360414281388303203824903758985243744170291327656<br>
1809377344403070746921120191302033038019762110110044929321516084244485963766983895228684783123552658<br>
2131449576857262433441893039686426243410773226978028073189154411010446823252716201052652272111660396<br>
6655730925471105578537634668206531098965269186205647693125705863566201855810072936065987648611791045<br>
3348850346113657686753249441668039626579787718556084552965412665408530614344431858676975145661406800<br>
7002378776591344017127494704205622305389945613140711270004078547332699390814546646458807972708266830<br>
6343285878569830523580893306575740679545716377525420211495576158140025012622859413021647155097925923<br>
0990796547376125517656751357517829666454779174501129961489030463994713296210734043751895735961458901<br>
9389713111790429782856475032031986915140287080859904801094121472213179476477726224142548545403321571<br>
8530614228813758504306332175182979866223717215916077166925474873898665494945011465406284336639379003</p>

<p>:)</p>

<p>You missed a few digits on the end. . .</p>

<p>Looks like it’s gonna be an F-.
Those couple of digits unfortunately cost you your grade.
Too bad buddy.</p>

<p>I thought i^i is like, root negative one raised to root negative one…</p>

<p>i^i
is multivalued . . .
if i = e^(i* pi/2)
------take the complex plane, make polar (polar complex plane), r =1, theta = 90 degrees . . . also, remembering e^(i<em>theta) = cos(theta) + i</em>sin(theta) and for cartesian z = x + i*y (transform cartesian to polar)</p>

<p>then
i^i = (e^i*(pi/2))^i
=e^(-pi/2)</p>

<p>but then, pi/2 is effectively equal to 5pi/2 or -9pi/2 or something else . . .
so it’s multivalued
that’s probably not perfectly clear, sorry</p>

<p>oops, mean 9pi/2</p>

<p>13</p>

<p>idk… i always liked the number lol</p>

<p>haha, slipstream’s post is the wittiest i’ve seen in awhile</p>

<p>wth is up with 42?! Why why why does everyone like it?? >>>>>></p>

<p>read hitchhiker’s guide to the galaxy =)</p>

<p>to 546mp:</p>

<p>i^i= e^Log[i^i] = e^(i<em>Log*).
Log* = i</em>Pi/2 to get i^i = e^(i<em>i</em>Pi/2) = e^(-Pi/2).</p>

<p>546 is a cool number also. the first 546 occurs at 914th decimal place in pi, if you begin count after the decimal point.</p>

<p>-1, it is e^(pi*i) so it has all sorts of cool numbers shoved in.</p>

<p>lucky 13…it’s hilarious how one number can make people scared or paranoid. </p>

<p>sidenote: on my 13th birthday, i saw the number “13” thirteen times. its was horribly odd, but nothing bad happened so…anyway…just to let you guys know.</p>

<p>coolest integer :1
lim x->0 sinx/x=1, lim x->0 tanx/x=1 etc.
for number
i know it’s not a number but </p>