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It's two numbers of equal length multiplied with the result having every digit occuring in both factors.
That sounds like somethin' a dummy would write, so these first seven vampires explain it all.
21 x 60 = 1260
15 x 93 = 1395
35 x 41 = 1435
30 x 51 = 1530
21 x 87 = 1827
27 x 81 = 2187
80 x 86 = 6880
Numbers like 350 x 410 and 3500 x 4100 don't count for obvious reasons. Even dummies can figure this one out.
If you're not a dummy and want to see just how far this insanity has gone, check out the current
World Record holder's web site
or go to Wikipedia's Page.
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\/
If you want to see how insane I am,. . . read on.
( No mathemeticians or
Jens K. Andersen allowed. )
This all started from a "Brain Bogglers" article by
Clifford Pickover in
Discover magazine back in '95. The largest number he stated in that article was 20 digits long.
1234554321 x 9162361086 = 11311432469283552606
Clifford Pickover's RealityCarnival
Since I was attempting to teach myself how to progam in C, I came up with a
program that could find a "massive" 24 digit number!
My record with this program was:
999999456323 x 999999718613 = 999999174936152983639999
I sent my "massive" number to Clifford only to be dumbfounded to learn that
John Childs had found an "amazingly massive" 40 digit number:
98765432198765432198 x 98765432198830604534 = 9754610597415368368844499268390128385732
I wasn't going to be outdone. Since I could only squeeze 15 digit accuracy out of my original program,
I went back to elementary school and wrote a program to multiply numbers just like a 3rd grader would.
I doubled that number and realized what a worthless endeavor this was. I gave up on this 80 digit number in '96.
9999999876543219876543219876543219876543 x 9876543219876543219876543210000011652393 =
98765430979439207522649183967093846153556319442527268359317291816109486890517399
Fast forward six years. I type "Vampire Numbers" into google and realized that this worthless endeavor
was still ongoing. Now there's a 100 digit record found by Myles Hilliard on March 9 1999. This may be the number:
98765432109876543210987654321098765432108990776898 x 98765432109876543210987654321098765432109967196255 =
9754610579850632525872580399376009754616397617223948488986906097184011734546933285857249127286116990
I wasn't going to be outdone, . . again!. A simple program update and more numbers appeared.
110 digit
2445678901234567890123456789012345678901234567890178388 x
5189012345678901234567890123456789012345678901234567890 =
1269065801207258294799601000947847617241573513438864730
3583557468366887859319541997180239520842852484196761320
120 digit
723456789012345678901234567890123456789012345678901236502487 x
866789012345678901234567890123456789012345678901234567890123 =
627084395622787314733746618990521450650766823940248151958428
947255718933046696721836782155036889463789010071207432235901
130 digit
32350984609022690782893943984866261193744563228898793785074827285 x
90477302018811435996802350976680592791782792174511586750062603890 =
29270298050764663952226800797615648838524062777378099849839992125
40387327808520902634152487931663808554006321894797981879119138650
140 digit
3254321098765432109876543210987654321098765432109876543210987655234357 x
8732109876543210987654321098765432109876543210987654321098765432109876 =
2841708940797258411226514592837330334455200920962666880847981367757436
5527956852714908168124702065097791331338311245616684335809953754209732
150 digit
133456789012345678901234567890123456789012345678901234567890123456789338245 x
926789012345678901234567890123456789012345678901234567890123456789012345678 =
123686285679577503739425637891089352540823614129253829300442529718796269690
544417613473924614558640746776988903209811373174192385602740363388805855110
160 digit
31234567890123456789012345678901234567890123456789012345678901234567890125684601 x
43210987654321098765432109876543210987654321098765432109876543210987654321098765 =
13496765274881789010341390149319460139760478126458901023894175423514246075426566
88863678045354255321682214283882900303559757917873122580539026936929074160617765
170 digit
4289012345678901234567890123456789012345678901234567890123456789012345678901234655970 x
6201234567890123456789012345678901234567890123456789012345678901234567890123456789012 =
2659717162013150591372782946654425083417157187216887186609205865449672301223842456210
5210107237533493576964597643017584592833870942136598342498980959078430208390696201640
180 digit
317654321098765432109876543210987654321098765432109876543210987654321098765432109876725511 x
428901234567890123456789012345678901234567890123456789012345678901234567890123456789012345 =
136242330485085481333829672961915079779044719226189793047447511417227604352971045756500121
592455568696034308584282306029896118120136400563728318931544299780671576766818872355433295
This is about the time (Nov. '02) I discovered Jens' 10060 digit number.
You just had to go and spoil the fun for us dummies didn't ya. There's no
formulas, mod9 congruences, special number sequences or anything but a shot
in the dark to find these vampires. Since you jumped from 100 to 10060 digits,
I awarded myself the"Record Vampire Number for Dummies" with this gold star I
proudly wear on my forehead.
What? . . Me Worry! I'm not gonna be intimidated like every one else. The hunt continues . . . .
190 digit
31567890123456789012345678901234567890123456789012345678901234567890123456789012345678907527710 x
43109876543210987654321098765432109876543210987654321098765432109876543210987654321098765432109 =
13608878459518716378064354491017683734422893201974401803050651428590386267687570739251612998138
96390004538485789205563257795727793667089926155460707294421242197329641366521715851331041240390
200 digit
3154321098765432109876543210987654321098765432109876543210987654321098765432109876543210987656787176 x
4389012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345 =
1384435424471691827768294011308941883984105436683731668496905279332543739181539695042982501617863467
5015707621780322476856907419153578259062146577620893532933557240810502512832764930158447960901687720
210 digit
260987654321098765432109876543210987654321098765432109876543210987654321098765432109876543210987661716352 x
813456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345 =
212302179255905046457702987498981547035219279532054040436058615291891182654017650377884618249036753161747
276186633731765452124891224087660590296283205818380035260713174993958834646184635179297338689397616365440
220 digit
90678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123 x
43789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345681014069 =
39707395256530910993540608246142812539293156425397203159686509067683329781939800865711126875322827366409370099
37618202854286648817541147734965363058817661134413878596294599107914781035620010216044854232852770744409140487
230 digit
2456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678903668254 x
5156789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567 =
1266914258451578942991946646013873539772855241494432312901157910165287258904045872679156301946790801662566598568045
7718523962540137717378842303850367083596284993680753327900187815643230029849644127813496525264202863774705605336018
240 digit
255432109876543210987654321098765432109876543210987654321098765432109876543210987654321098765432109876543210987657238211 x
807654321098765432109876543210987654321098765432109876543210987654321098765432109876543210987654321098765432109876543210 =
206300847289164763604087944247925941213544308800229602347910477381579799452836855116751573028821946054596873480633511253
629362517119221572836750689396157922150864077536211236285733606481784608933499585721882071055041418353789462960204597310
250 digit
267890123456789012345678901234567890123456789012345678901234567
89012345678901234567890123456789012345678901234567890124103569 x
815678901234567890123456789012345678901234567890123456789012345
67890123456789012345678901234567890123456789012345678901234567 =
21851232155282640362317015750910576746558945191802683270894947202260962607743243049
52603898382777536627029468341578118354801784098503413395171466168049259099658137158
251134840653645596548217770903107098215139241933996777404647963061589624838270869623
260 digit
21878901234567890123456789012345678901234567890123456789012345678
90123456789012345678901234567890123456789012345678901234568071130 x
57589012345678901234567890123456789012345678901234567890123456789
01234567890123456789012345678901234567890123456789012345678901293 =
12599843133074195781194936724908245387169699710184857488165274500531206325224588520039
60564075567524295073899218259104600701186181622445211042892806425414109174653893770676
6376623887885947709913423303103825183521630803673287908899441273743155375659636672971090
I started to cheat about this time when I made the factors equal to mod9. The numbers were
just getting too big to find by single increments. Since I don't understand all this mod9 stuff and
am still using the John Childs mathemetical theory of finding vampire numbers, I changed my
Gold star award to a Silver Star. I really should be ashamed of myself . . . right? ? . . .WRONG ! !
What? . . . Me Worry ? ? The hunt continues . . . .
270 digit
54234567890123456789012345678901234567890123456789012345678901234567
8901234567890123456789012345678901234567890123456789012345679643905 x
63901234567890123456789012345678901234567890123456789012345678901234
5678901234567890123456789012345678901234567890123456789012345678945 =
346565584443494075591138159273792691098847156627031504414417829316613250819178471870669561
865942127654481729912236924705902567642532743592234488597508769984579409110940794122342364
733359065005448389353756087220696733550601785837913389832076660108036198123286473056080225
280 digit
5321098765432109876543210987654321098765432109876543210987654321098765
4321098765432109876543210987654321098765432109876543210987654322151143 x
6809876543210987654321098765432109876543210987654321098765432109876543
2109876543210987654321098765432109876543210987654321098765432109876577 =
362360256668250704541996538341716800622923394741167510942004268240989178538777793025345666819
681355433682814418539749329371121721688834017785163001250089153336257200654750548597587537712
9700020566181250341939249862726037469125814995197902624348322374917685448740053865998869477511
290 digit
5387654321098765432109876543210987654321098765432109876543210987654321098
765432109876543210987654321098765432109876543210987654321098765432459236 x
6487654321098765432109876543210987654321098765432109876543210987654321098
765432109876543210987654321098765432109876543210987654321098765432109881 =
3495323883686284103047503581772637875324052539247084129096176300426764418794391120754610579962978
2047850495351573801249836255296451513046794206603794965414768028653959656076644250928789253624991
408215710389106892163739221328856775344133962855538224817666305334977878818818912710414005310916
300 digit (found 3-17-11)
110012345678901234567890123456789012345678901234567890123456789012345678901
234567890123456789012345678901234567890123456789012345678901234567891048444 x
920789012345678901234567890123456789012345678901234567890123456789012345678
901234567890123456789012345678901234567890123456789012345678901234567890199 =
1012981591235068837998678351687384981957490212874624192755349936422323745356911249707159012487862690
0005009478752215626750393030562556449845007444836013019788944834832105731768531698005385282283391739
4766244950724909816197319513732214804584469765779571805110069663364218214621742946290706407181800356
310 digit (found 2-1-12)
235789012345678901234567890123456789012345678901234567890123456789012345678901
23456789012345678901234567890123456789012345678901234567890123456789012417770 x
651689012345678901234567890123456789012345678901234567890123456789012345678901
23456789012345678901234567890123456789012345678901234567890123456789012345706 =
1536611085775185723256393743793526891526141440867293019258197189442966507696011329644772600851994406873
9511553662702870045145458472402062994028958014128758339420560882095267336494847858478016898330654901081
35081123296361323577921453482620677460744920957322777416857106273798193480591067633380231591870137595620
320 digit (found 2-1-12)
38567890123456789012345678901234567890123456789012345678901234567890123456789012
34567890123456789012345678901234567890123456789012345678901234567890123457598144 x
97689012345678901234567890123456789012345678901234567890123456789012345678901234
56789012345678901234567890123456789012345678901234567890123456789012345678901248 =
37676590944171576241205909338799466105347834127681572164482836091619751496679121938419626872717134155159230
56230467477090934264855882178200267092991494597606734150597256854584554217570938274968342112817959039813908
3868346020869687813335254102458353942358318247447080110065832839538695766807080824966029207325135044083712
330 digit (found 2-2-12)
4825432109876543210987654321098765432109876543210987654321098765432109876543210987
65432109876543210987654321098765432109876543210987654321098765432109876543211318921 x
5140987654321098765432109876543210987654321098765432109876543210987654321098765432
10987654321098765432109876543210987654321098765432109876543210987654321098765432909 =
24807486903639920405042867211972174238344006175549079492726375836789784372430693116118240779499341224738685837
15274375518316189266510494098118936926958682444412254013635029943239356205572220941682050626280687915839317076
90505653622261813647547306193286843102181895558503510680678883180550741529303359474055164479517999301427771189
340 digit (found 2-7-12)
3554567890123456789012345678901234567890123456789012345678901234567890123456789012345
6789012345678901234567890123456789012345678901234567890123456789012345678901234881884 x
3816789012345678901234567890123456789012345678901234567890123456789012345678901234567
8901234567890123456789012345678901234567890123456789012345678901234567890123456789633 =
13567035666659972318380676107009535498218100338573524712732523939160769540704828668749358038342823320981071083812
78598355274648587242143733895682260906715014842386192365955444469431597658191445086943973040806880157291936301050
318458637144328716925681157013692944233481777276559426012977067429829819225836193170868940441915426156674590708572
350 digit (found 2-18-12)
436832109876543210987654321098765432109876543210987654321098765432109876543210987654321
0987654321098765432109876543210987654321098765432109876543210987654321098765432118105903 x
887209876543210987654321098765432109876543210987654321098765432109876543210987654321098
7654321098765432109876543210987654321098765432109876543210987654321098765432109876543212 =
387561762273678279374156579652094533136677340830814522834796131158651081003382254889089940167784165484665933695255345
084204409679888328485135621600228241035194291991037306104827838718347691403947251993605973484681722177000284700553239
71834064509666259662214911287346319660847114819295959767250720805257184563378929704623214095290853522011938571780436
360 digit (found 2-23-12)
116678901234567890123456789012345678901234567890123456789012345678901234567890123456789012
345678901234567890123456789012345678901234567890123456789012345678901234567890123461693836 x
905123456789012345678901234567890123456789012345678901234567890123456789012345678901234567
890123456789012345678901234567890123456789012345678901234567890123456789012345678901234570 =
105608810419775848929494731681701187847045290252592046172047956331883670804656254597612414211475920296319059917149052780
466619956921833463579700493146721763993547347867242256372984164025735640231105676505963778898881699014716702013954523412
643737662389202298351403083046388593625763687894688851642680133449589138173491026300202313878305552512659087363759110520
370 digit (found 2-27-12)
376278901234567890123456789012345678901234567890123456789012345678901234567890123456789012345
67890123456789012345678901234567890123456789012345678901234567890123456789012345678903047133 x
629023456789012345678901234567890123456789012345678901234567890123456789012345678901234567890
12345678901234567890123456789012345678901234567890123456789012345678901234567890123456789020 =
23668825517133925940465107272921682195179685366306720251309547196598842236806672975395346172
71100250478824703923053938279822540616733968740548568341942373980982989112777174082745718940
306472167450111341573543246640207535912306074716059139584088767169657162038090544735921537326
803402018001465030332258985886437146873964839515928596434446070891729928214001524933896879660
380 digit (found 3-04-12)
62047934567890123456789012345678901234567890123456789012345678901234567890123456789012345678901
23456789012345678901234567890123456789012345678901234567890123456789012345678901234567897093172 x
74180023456789012345678901234567890123456789012345678901234567890123456789012345678901234567890
12345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012347 =
46027172416913991688532867056370433494388758028314047270718921873860643902064939561674381473314
22689904610156507607804402475459315419013819059048170657619495940933417481610488536912768702703
64591767549257727879754304900458283701294113691254239901237906843335038969654628725497575355402
96878382561800321109391280396260252868158137769669025025252223627353754475218228658770117394684
390 digit (found 3-07-12)
62047932109876543210987654321098765432109876543210987654321098765432109876543210987654321098765432
1098765432109876543210987654321098765432109876543210987654321098765432109876543210987654329483033 x
74180065432109876543210987654321098765432109876543210987654321098765432109876543210987654321098765
4321098765432109876543210987654321098765432109876543210987654321098765432109876543210987654321121 =
4602719663837753401126662857259455037440624378915530325408699821292584661004429933987960140187547
7286976299443376505115805538028727342554587413130630209200580167708809731449756144612863132230021
96127085141502907725398576093664686141478951467359143432057039171737816400026992888288020413657334
15384858662663314398378814293049129714626037799994716262852682874570589412285591053711412503039993
400 digit (found 3-09-12)
5464345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678
9012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789018634637 x
6338345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678
9012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345715 =
3463491182188627312897737902757661307422554882456934363417161323858862921137600970988931564986410303
2873927450076144459686489617436536478890442399603723115131840199030330808654747759740646243865567949
9395332620766581547397782983271890781180400326403361157468868228229740034071259324531954464565678299
6678161152879064400609031268593015609712512809256572405754189353058272146554112535780239785917530455
If you have a bigger number and your name isn't
Jens K. Andersen ,
I hearby allow you to print this "Silver Star" award and stick on your forehead
if the sum of both of your factor digits is a modulus 9 congruence.
You can still reclaim the "Gold Star Award" by sending a number with factors that don't
have any modulus 9 congruence. ( NO! Jens. You still can't play. )
Send your Record Number in increments of no more than 10. (410, 420, 430 etc.)
Zoom Points
