# [seqfan] Re: Filling squares and triangles (with digits)

Robert G. Wilson v rgwv at rgwv.com
Wed Nov 27 08:44:26 CET 2013

```That is really quite a number, which is not in the OEIS.
=2^6*3^3*5*13*19*7901*C2978.

-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Giovanni
Resta
Sent: Wednesday, November 27, 2013 2:07 AM
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: Filling squares and triangles (with digits)

On 11/27/2013 01:08 AM, Eric Angelini wrote:
> Hello SeqFans,
> It is possible to write down in a 5 x 5 square (25 cells)  the
> integers from 1 to 17 -- if you use one digit per cell:

Hi, nice construction. You may wander which is the smallest number > 1 that,
like 1, fills a square and also a right-triangle.

Well, it is pretty big. About 6.2 * 10^2986, or more precisely:

6228698895730227622755017731072145749183515783656112726019201287058092
2562127236929760160301727251033583512368516378393917224776085871444518
8825719501371537699313070671017389828517880860707093862732193680784749
6621557518490349437015983228744446188468153887289398882395727535291785
6683181999963013936342650056306361660262151104039645779303510198956180
7285728290229237337211083263093575771122085710895787248657999286557156
5137232813292358737451625129195611681292838697972546195652235523589263
0447300443190231324556886679142046757929592983128212573123948430665100
0708779793996206974927610083558287763387016479083281131264020268599016
6035002366526140699589820374956004851298324590962505971005956879520024
9147516994600018506426574739288387990050844242012465645381490927710903
5767415734314084228260736534470015202446936279034710754766708206228703
3574100371557777066908510977109222041722437886461814447266521562744785
1502774673786216662931431331444212741301495103436025666861393846438693
6002119620652654163848254601321931968883449559248743373522754500223340
4758404556181396890590237349840707750663069582055851031435285765680613
8988975906842844329713639207954685172731984102518544219442059796155464
9118527918773019164745397113454787619453625207352333698362305237458276
5928903072065242851929074431246729666773046363481381201572370388828426
2554234488010050466314177694884194539567678130889007733708736099650498
9115022850191750608244987574274448634432190712037535921319857483986977
3060012604091916275814247608306689502889904404424982077043886241708604
6972127535543973950624249316926758694564298464342979672803756998108940
8434453452970811973494593138551992181572622010040812956169357838675485
9319780665998058621140239545133749576144692485488266513026566086215874
1015823930258465091835488043916551979836107221129434045230895674611927
7887735482195733755249596321807435909049294991542151006229801621768130
6161915962995722174699037535868229569439147467703620632534904527331736
3699367406595387264632059212963778255737905781420405611809842908898112
6015129332732660929052983199722087654854165243203192941140054740139706
6918830808558927336081386371607313235932540040068206166942914778153523
6748138287365048852549684632498524180330920783392721711445616152963533
6283783381063161352768700120603189757857527802528103917952419044340450
8879042141061416732553147762316910295873725809942419246794121066806927
9911711604863764718135022856268645775714946096018346739641618742013487
0291442485771698670169833005161929066287617581929582922321166308640116
9448908953413818679352851622269726917615836037363858335860231638395996
0315734366961989522578300255066791126509312988929436799707703210297246
4865058111240607999731070044173352214887310681704330308411259801160894
9388747161796719506012351250060201212284453690297232438201773649567978
6962681125204324855961813796111585185042444543700862636858311374167407
5213651465745760075698722365786828520220985496293063853507789852332563
00584073589125271701202183677913121040330835520.

Giovanni Resta

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