Converting $\pi$ to senary base

We are decorating the ginger bread house and want to write out $\pi$ on the roof. We have candy with $6$ different colors so we want to use the senary number as the base. What would $\pi$ be with $44$ digits in the senary number base?

We decided to arrange the colors of the candy after their wavelenght. Since we figured out that our brown color is not on the colorspectrume we decided to drop it. So we now need to know $\pi$ in the base 5. Thanks for all the help and sorry for changing the question. We still need 44 digits.

Here is a picture of the finished house.

enter image description here


Solution 1:

According to this site,

$$\pi\approx 3.03232 21430 33432 41124 12240 41402 31421 11430 20310_{\text{five}}\;,$$

and

$$\pi\approx 3.05033 00514 15124 10523 44140 53125 32110 23012 14442_{\text{six}}\;,$$

where in each case I’ve kept $45$ places to the right of the point.

Solution 2:

Alpha gives $3.050330051415124105234414053125321102301214442004115252553\\31420333131135535131233455334100151543444012343544520300450024223431..._6$

or

$3.03232214303343241124122404140231421114302031002200344413221101\\04033213440043244401441042334133011323123421042011132102114201..._5$

Solution 3:

EDIT: D'oh, you ate up all the brown sweets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

For a really swet surprise, consider $$3_60503300514151241052344140531253211023012144420\\ 04115252553314203331311355351312334553341001515\\ 43444012343544520300450024223431402513114521100\\ 20251031010503410355135533050550325533003214415\\ 23154243140500010113054135235552155133504313345\\ 22214530520215100514204341303313333102104445052\\ 01223531244053341442311411410310515402520324103\\ 25122254530424321134551440542544301335053210342\\ 11521112514550413013341021055121432143035114223\\ 55101504135255400410333550122402040012005110123\\ 32310341414133002545055004502405541021131311333\\ 12022242140152520000413041101141001350114142411\\ 15503132021301402023322515242431155533510105544\\ 52241015505452542304432104122414423054241210454\\ 34451211510211252031404205415123142240501310242\\ 42010135054431332322520421445252442040241040353\\ 35315045224413020512350334344015320332032030431\\ 30040320322002314155333325231413100411552444002\\ 03122530542543021203142135102541112302034044113\\ 04333223212345211552213540540011152211105140015\\ 35102131503125032401503214005244000513325115510\\ 30033535412254243555145252231232553112340535244\\ 43154353020241021353405421232250233203030050044\\ 21431405053003250514351430120305150000521533114\\ 32303434105430234211104525145540415101452551444\\ 24430555414432345334041523345413022054042235332\\ 40055024043451204235301153324352321153001102254\\ 02330445531535211531542330543012305020403355444\\ 32413525502233400350134240340415350221554532155\\ 54425201005340555341525244340425103300012100141\\ 30332352421241204402025241403252422154535212515\\ 10041302114011502520335545313112512433032234321\\ 15123335343255110503014454524540023435025041043\\ 22230103511520201223340003240403424330452140054\\ 53303100413200104245052221425310533340225522302\\ 00133051425132054101200425245400223351520324435\\ 35203333104231023311222101505032011122435254441\\ 14203223253013355054120444424030050310040511520\\ 31301435251452214104120210551515502105541554042\\ 30524413425103551202323215503510015240000530045\\ 44425321553430121240310004220003515545535313231\\ 51224554151515224030115350412315211010034341453\\ 03032041342213530144433244$$