Four Fours
Solutions 100+

Solutions to the Second Challenge: Summary of 100+

Numbers without Four Fours solutions are shaded.

100101102103104105106107108109110111112113114115116117118119
120121122123124125126127128129130131132133134135136137138139
140141142143144145146147148149150151152153154155156157158159
160161162163164165166167168169170171172173174175176177178179
180181182183184185186187188189190191192193194195196197198199
200201202203204205206207208209210211212213214215216217218219
220221222223224225226227228229230231232233234235236237238239
260261262263264265266267268269270271272273274275276277278279
280281282283284285286287288289290291292293294295296297298299
300301302303304305306307308309310311312313314315316317318319
320321322323324325326327328329330331332333334335336337338339
340341342343344345346347348349350351352353354355356357358359
360361362363364365366367368369370371372273374375376377378379
380381382383384385386387388389390391392293394395396397398399
400401402403404405406407408409410311412413414415416417418419
420421422423424425426427428429430331432433434435436437438439
440441442443444445446447448449450351452453454455456457458459
460461462463464465466467468469470471472473474475476477478479
480481482483484485486487488489490491492493494495496497498499
500501502503504505506507508509510511512513514515526517518519
520521522523524525526527528529530531532533534535536537538539
540541542543544545546547548549550551552553554555556557558559
560561562563564565566567568569570571572573574575576577578579
580581582583584585586587588589590591592593594595596597598599
600601602603604605606607608609610611612613614615626617618619
620621622623624625626627628629630631632633634635636637638639
640641642643644645646647648649650651652653654655656657658659
660661662663664665666667668669670671672673674675676677678679
680681682683684685686687688689690691692693694695696697698699
700701702703704705706707708709710711712713714715726717718719
720721722723724725726727728729730731732733734735736737738739
740741742743744745746747748749750751752753754755756757758759

Solutions to the Second Challenge: 100+

Numbers 100–299 shown with gaps; 300+ are condensed to show only solved numbers.

NumberFour Fours TermSolved By
1004! * 4 + √(4*4)
10144/.4~ + √4Klaus Rellermeyer
1024! * 4 - 4! / 4
103(44 / .4~) + 4johnv
1044*4!+4+4ArBeeJay Ruakura
1054! * 4 + 4/.4~
106[4!+√4] *4 +√4;Klaus Rellermeyer
107(4! + 4! - .4~) / .4~IceMantis
1084! * 4 + 4! / √4
109(4! + 4! + 4~) / .4~IceMantis
110(4! + 4! - 4) / .4IceMantis
111444 / 4
1124! * 4 + 4*4
113arccos[ - √(√4 / 4) ] - 4! + √4Jim Cross
11444/.4 + 4
115[4! + 4! - √4] / .4Jim Cross
116(4+ 4/4)! - 4
117(4! + 4! + 4) / .4~IceMantis
118(4+ 4/4)! - √4
119(4! + 4! -.4) / .4
120(4! * 4!) / 4 - 4!
121(4! + 4! + .4) / .4IceMantis
122(4+ 4/4)! + √4
123(44 / .4~) + 4!FireMantis
124(4+ 4/4)! + 4
125[4! * √4 + √4] / .4Klaus Rellermeyer
126(4^4) / √4 - √4johnv
127[ 4^4 - √4 ] / √4IceMantis
128(4^4) * √4 /4capOCC
129[4^4 + √4] / √4 IceMantis
130(4^4) / √4 + √4IceMantis
1314! / (.4 * .4~) - 4
132(4^4) / √4 + 4Klaus Rellermeyer
1334! / (.4~*.4) - √4Klaus Rellermeyer
134(44 / .4) + 4!Partick
1354! / [(√(.4 * .4)) * .4~]Jim Cross
136(4 / .4 + 4!) * 4FireMantis
1374! / (.4~*.4) + √4Klaus Rellermeyer
138(4!^√4 - 4!) / 4capOCC
1394! / (.4*.4~) + 4ArBeeJay Ruakura
1404! * 4 + 44Ron Heard
141[4*4! - √4] / √(.4~)ArBeeJay Ruakura
1424! * 4! /4 - √4Klaus Rellermeyer
143(4!^√4 - 4) / 4capOCC
144[ 4!^(4 / √4) ] / 4capOCC
145(4!^√4 + 4) / 4capOCC
146[4!/(.4 * .4)] - 4Jim Cross
147[4*4! + √4 ] / √(.4~)ArBeeJay Ruakura
148(4*4!) / √(.4~) + 4capOCC
149( 4!/.4 - .4 ) / .4capOCC
150(4!*4!+4!)/4Klaus Rellermeyer
151[(4!/.4) + .4] / .4ArBeeJay Ruakura
152[4! / (.4 * .4)] + √4Jim Cross
153(44 + 4!) / .4~Ron Heard
1544! / (.4 * .4) + 4ArBeeJay Ruakura
155[(4!/.4) + √4] / .4ArBeeJay Ruakura
1564! * [4! + √4] / 4Ron Heard
157
158√(√(√(4^4!))) / .4 - √4Ron Heard
1594!/(.4~ * .4) + 4!Ron Heard
1604 * 4 * 4 / .4Ron Heard
161[√(√(√(4^4!))) + .4] / .4Ron Heard
162(4! + 4! + 4!) / .4~Ron Heard
163
164√(√(√(4^4!))) / .4 + 4Ron Heard
16544 / [√(.4~) * .4]Ron Heard
1664! * [ .4 ^ -√4 + √(.4~) ]David Bevan
1674! + ((4!)^√4 - 4) / 4Alejandro Robert
168[44 - √4] * 4Ron Heard
169{ [ 4! + √4 ] / √4 } ^ √4Ron Heard
170(4! + 44) / .4~Ron Heard
171
17244 * 4 - 4Ron Heard
173
17444 * 4 - √4Ron Heard
175(4!+4) / (.4*.4)ArBeeJay Ruakura
17644 * √4 * √4Ron Heard
177{√4/.4]! - √4} / √(.4~)Ron Heard
17844 * 4 + √4Ron Heard
179[ (4!/4)! - 4] / 4Ron Heard
180(4! - 4) * 4 / .4~Ron Heard
181[(4!/4)! + 4] / 4Ron Heard
182[(4!/4)!] / 4 + √4Ron Heard
183((√4/.4)! + √4) / √(.4~)Ron Heard
184[44 + √4 ] * 4ArBeeJay Ruakura
185
186(4! + [√4 + 4]! ) / 4Ben Macauley
187
1884! * √4 * 4 - 4ArBeeJay Ruakura
189(4! + 4!/ .4) / .4~Ron Heard
1904! * √4 * 4 - √4ArBeeJay Ruakura
191
192(44+4) * 4ArBeeJay Ruakura
193
1944! * √4 * 4 + √4ArBeeJay Ruakura
195
1964! * √4 * 4 + 4ArBeeJay Ruakura
197
19844 * √4 / .4~Ron Heard
199
200(4!*4 + 4) * √4ArBeeJay Ruakura
201
2024^4 - 4! / .4~ArBeeJay Ruakura
203
204(4!/4)! / 4 + 4!Ron Heard
205
206
207(4*4! - 4) / .4~ArBeeJay Ruakura
2084^4 - 4!*√4Klaus Rellermeyer
209
2104 * [4! - √(.4~)] / .4~Ron Heard
211
2124^4 - 44Ron Heard
213
2144 * 4! / .4~ - √4Ron Heard
215(4 * 4! - .4~) / .4~Ron Heard
2164 * (4! + 4!) + 4!Ron Heard
217(4 * 4! + .4~) / .4~Ron Heard
2184 * 4! / .4~ + √4Ron Heard
219
22044 * √4 / .4Ron Heard
221
222444 / √4Ron Heard
223
224(4! + 4) * (4 + 4)Ron Heard
225(4 * 4! + 4) / .4~Ron Heard
226
227
2284^4 - 4! - 4Ron Heard
229
230(4 * 4! - 4) / .4Ron Heard
231
2324^4 - √(4! * 4!)Ben Macauley
233
234√4 + 4^4 - 4!Ben Macauley
235[ 4 * 4! - √4 ] / .4Tony Payne
236[ (4 * 4!) / .4] - 4Steve Van Acker
237
2384 * 4! / .4 - srqt(4)John Karamanis
239(4! * 4 - .4) / .4MrAmerica
2404^4 - 4*4Tony Payne
241(4! * 4 + .4) / .4MattX
2424! / .4~ / .4~ / √4LLoyd Thrower
243√( 4 / .4~ ) ^ ( √4 / .4 )Tony Payne
2444 * 4! / .4 + 4Tony Payne
245[ 4 * 4! +√4 ] / .4Tony Payne
2464^4 - 4 / .4John Karamanis
2474^4 - 4 / .4~John Karamanis
2484^4 - 4 - 4John Karamanis
249
250( 4 * 4! + 4 ) / .4Tony Payne
2514^4 - √4 / .4Brian Rogers
2524^4 - √4 - √4Brian Rogers
2534^4 - √( 4 / .4~ )Brian Rogers
2544^4 - 4 + √4Brian Rogers
2554^4 - 4/4Brian Rogers
2564^4 + 4-4ROM of SCDS
2574^4 + 4/4Brian Rogers
2584^4 + 4 - √4Brian Rogers
2594^4 + √(4/.4~)Brian Rogers
260√4 + √4 + 4^4Ben Macauley
2614^4 + √4/.4Brian Rogers
262√4 + 4 + 4^4Ben Macauley
263
26444 * 4! / 4Talia
2654^4 + 4/.4~Brian Rogers
2664^4 + 4/.4Brian Rogers
267
268[4! / √4] + 4^4Ben Macauley
269
270(4!*4 + 4!) / .4~Brian Rogers
271
272(4 * 4) + 4^4Ben Macauley
273
274(√4 / .4)! / .4~ + 4Roger Webber
275(44 / .4) / .4Brian Rogers
2764^4 + 4! - 4Brian Rogers
277
2784! + 4^4 - √4Ben Macauley
279
2804! + 4 * √{ √[ √4^4! ] }Ben Macauley
281
282√4 + 4! + 4^4Ben Macauley
283
2844 + 4! + 4^4Ben Macauley
285
2864! * 4! / √4 - √4Ben Macauley
287[4! * 4! - √4] / √4Ben Macauley
288√4 * [4! * √4 + 4]Ben Macauley
289(√4 + 4! * 4!) / √4Ben Macauley
290√4 + 4! * 4! / √4Ben Macauley
291
2924 + 4! * 4! / √4Ben Macauley
293
294(√4 / .4)! / .4~ + 4!Roger Webber
295[ (√4 / .4)! - √4 ] / .4Brian Rogers
296( √4 / .4 )! / .4 - 4Brian Rogers
297
298( √4 / .4 )! / .4 - √4Brian Rogers
299[ ( √4 / .4 )! - .4 ] / .4Brian Rogers
30044 + 4^4Ben Macauley
301[ ( √4 / .4 )! + .4 ] / .4Brian Rogers
302( √4/.4 )! / .4 + √4Brian Rogers
3044! + 4! + 4^4Ben Macauley
305[ (√4/.4 )! + √4 ] / .4Brian Rogers
3124! + 4! * 4! / √4Ben Macauley
316(4+√4)! * .4~ - 4MrAmerica
320√(√(√4 ^ 4!)) + (4^4)Ben Macauley
324[(√4 + 4) ^ 4] / 4Ben Macauley
336[√4 + 4]! / √4 - 4!Ben Macauley
338[(√4 + 4!) ^ √4] / √4Ben Macauley
348[((√4 + 4)!) - 4!] / √4Ben Macauley
3514! / √{ √[ √( (.4)^(4!) ) ] } - 4!Brian Rogers
3524 * 4! + 4^4Ben Macauley
356(√4 + 4)! / √4 - 4Ben Macauley
358(√4 + 4)! / √4 - √4Ben Macauley
359[(√4 + 4)! - √4] / √4Ben Macauley
3604 * 4 * 4! - 4!Ben Macauley
361(√4 + [√4 + 4]!) / √4Ben Macauley
362√4 + √4 + 4)! / (√4Ben Macauley
3644 + [(√4 + 4)!] / √4Ben Macauley
3684 * (4 * 4! - 4)Ben Macauley
372(4! + [(√4 + 4)!]) / √4Ben Macauley
376(4! - 4) ^ √4 - 4!Ben Macauley
3804 * 4 * 4! - 4Ben Macauley
381(4^4 - √4)/√(.4~)Brian Rogers
3824 * 4 * 4! - √4Ben Macauley
383(4^4 - √(.4~))/√(.4~)Brian Rogers
3844! + (√4 + 4)! / √4Ben Macauley
385(4^4 + √(.4~))/√(.4~)Brian Rogers
3864 * 4 * 4! + √4Ben Macauley
387(4^4 + √4)/√(.4~)Brian Rogers
3884 * 4 * 4! + 4Ben Macauley
390(4^4 + 4)/√(.4~)Brian Rogers
3924 * (√4 + 4 * 4!)Ben Macauley
396(4! - 4) ^ √4 - 4Ben Macauley
398(4! - 4) ^ √4 - √4Ben Macauley
3994! / √(√(√((.4)^(4!)))) + 4!Brian Rogers
4004 * (4 + 4 * 4!)Ben Macauley
402√4 + (4! - 4) ^ √4Ben Macauley
4044 + (4! - 4) ^ √4Ben Macauley
405(√4/.4)! / √( √{ √[ √( .4~ )^4! ] } )Brian Rogers
4084! + 4 * 4 * 4!Ben Macauley
4164 * 4 * (√4 + 4!)Ben Macauley
420444 - 4!Ben Macauley
4244! + (4! - 4) ^ √4Ben Macauley
4324! * (√4 + 4 * 4)Ben Macauley
440444 - 4Ben Macauley
441(4! - √(4/.4~)) ^ √4MrAmerica
442444 - √4Ben Macauley
444√(444 ^ √4)Ben Macauley
446√4 + 444Ben Macauley
4484 + 444Ben Macauley
4564! * (4! - 4) - 4!Ben Macauley
460(4! - √4) ^ √4 - 4!Ben Macauley
462(4! - √4)! / (4! - 4)!MrAmerica
464(√4 + 4)! - 4^4Ben Macauley
4684! + 444Ben Macauley
4764! * (4! - 4) - 4Ben Macauley
4784! * (4! - 4) - √4Ben Macauley
4804! * 4! - 4 * 4!Ben Macauley
482√4 + 4! * (4! - 4)Ben Macauley
4844 + 4! * (4! - 4)Ben Macauley
486√4 + (4! - √4) ^ √4Ben Macauley
4884 + [4! - √4] ^ √4Ben Macauley
5044! + 4! * (4! - 4)Ben Macauley
5084! + [4! - √4] ^ √4Ben Macauley
510√4 * 4^4 - √4Ben Macauley
5124^4 + 4^4Ben Macauley
514√4 + √4 * 4^4Ben Macauley
5164 + √4 * 4^4Ben Macauley
520√4 * (4 + 4^4)Ben Macauley
5224!*4! - 4!/.4~Brian Rogers
524(4! * (4! - √4)) - 4Ben Macauley
526(4! * (4! - √4)) - √4Ben Macauley
528(4! * 4!) - (4! + 4!)Ben Macauley
529(4! - (√4 / √4)) ^ √4Ben Macauley
530√4 + (4! * (4! - √4))Ben Macauley
5324 + (4! * (4! - √4))Ben Macauley
5364! + (√4 * (4 ^ 4))Ben Macauley
5404!*4! - 4!/√(.4~)Brian Rogers
548(4! * 4!) - (4 + 4!)Ben Macauley
550(4! * 4!) - (√4 + 4!)Ben Macauley
5524! + (4! * (4! - √4))Ben Macauley
554√4 + ((4! * 4!) - 4!)Ben Macauley
5564 + ((4! * 4!) - 4!)Ben Macauley
560(4! * 4!) - (4 * 4)Ben Macauley
564(4! * 4!) - (4! / √4)Ben Macauley
5664!*4! - 4/.4Brian Rogers
567(4^4 - 4)/.4~Brian Rogers
568(4! * 4!) - (4 + 4)Ben Macauley
570(4! * 4!) - (√4 + 4)Ben Macauley
5714!*4! - √4/.4Brian Rogers
572(4! * 4!) - (√4 + √4)Ben Macauley
574√4 + ((4! * 4!) - 4)Ben Macauley
575(4^4 - .4~) / .4~Brian Rogers
576√4 + ((4! * 4!) - √4)Ben Macauley
577(4^4 + .4~) / .4~Brian Rogers
578√4 + 4! * √(4! * 4!)Ben Macauley
580√4 + √4 + 4! * 4!Ben Macauley
582√4 + 4 + 4! * 4!Ben Macauley
5844 + 4 + 4! * 4!Ben Macauley
5884! / √4 + 4! * 4!Ben Macauley
5924 * 4 + 4! * 4!Ben Macauley
5964! + 4! * 4! - 4Ben Macauley
5984! + 4! * 4! - √4Ben Macauley
6004! + 4! * √(4! * 4!)Ben Macauley
602√4 + 4! + 4! * 4!Ben Macauley
6044 + 4! + 4! * 4!Ben Macauley
6124!*4! + 4!/√(.4~)Brian Rogers
616(4! - √4) * (4 + 4!)Ben Macauley
62044 + (4! * 4!)Ben Macauley
622(4! * (√4 + 4!)) - √4Ben Macauley
6244! + (4! + (4! * 4!))Ben Macauley
625(4 + (√4 / √4)) ^ 4Ben Macauley
626√4 + (4! * (√4 + 4!))Ben Macauley
6284 + (4! * (√4 + 4!))Ben Macauley
630((4 + 4)!) / (√(√(√4 ^ 4!)))Ben Macauley
635(4^4 - √4)/.4Brian Rogers
6364^4 / .4 - 4Brian Rogers
6384^4 / .4 - √4Brian Rogers
639(4^4 - .4) / .4Brian Rogers
640(√(√(√4 ^ 4!))) + (4! * 4!)Ben Macauley
641(4^4 + .4) / .4Brian Rogers
644(4^4 / .4) + .4nima88
6484! + (4! * (√4 + 4!))Ben Macauley
650(4 + 4 ^ 4) / .4Jaldaboath
652(√4 + 4!) ^ √4 - 4!Ben Macauley
656(√4 + 4)! - (√(√(√4 ^ 4!)))Ben Macauley
666(4 + √4)! - 4!/.4~MrAmerica
6684! * (4 + 4!) - 4Ben Macauley
6704! * (4 + 4!) - √4Ben Macauley
6724 * 4! + 4! * 4!Ben Macauley
674√4 + 4! * (4 + 4!)Ben Macauley
6764 + 4! * (4 + 4!)Ben Macauley
678√4 + (√4 + 4!) ^ √4Ben Macauley
6804 + (√4 + 4!) ^ √4Ben Macauley
684(4 + √4)! - 4!/√(.4~)Brian Rogers
692(√4 + 4)! - 4 + 4!Ben Macauley
694(√4 + 4)! - √4 + 4!Ben Macauley
6964! + 4! * (4 + 4!)Ben Macauley
698√4 + (√4 + 4)! - 4!Ben Macauley
7004 + (√4 + 4)! - 4!Ben Macauley
70444 * 4 * 4Josie
705√(√(√(4/.4~)^4!))-4!?
708(√4 + 4)! - 4! / √4Ben Macauley
710(4 + √4)! - 4/.4Brian Rogers
711(4 + √4)! + 4/.4~Brian Rogers
712(√4 + 4)! - 4 + 4Ben Macauley
714(√4 + 4)! - √4 + 4Ben Macauley
715(4 + √4)! - √4/ .4~Brian Rogers
716(√4 + 4)! - √4 + √4Ben Macauley
717(4 + √4)! - √(4 / .4~)Brian Rogers
718√4 + (√4 + 4)! - 4Ben Macauley
719(√4 + 4)! - √4 / √4Ben Macauley
720√4 + (√4 + 4)! - √4Ben Macauley
721√4 / √4 + (√4 + 4)!Ben Macauley
722√4 + √[((√4 + 4)!) ^ √4]Ben Macauley
723(4 + √4)! + √(4 / .4~)Brian Rogers
724√4 + √4 + (√4 + 4)!Ben Macauley
725√{ √[ √( (4/.4~)^(4!) ) ] } - 4Brian Rogers
726√4 + 4 + (√4 + 4)!Ben Macauley
727√{ √[ √( (4/.4~)^(4!) ) ] } - √4Brian Rogers
7284 + 4 + (√4 + 4)!Ben Macauley
729(4 + √4)! + 4/.4~Brian Rogers
730(4 + √4)! + 4/.4Brian Rogers
731√{ √[ √( ( 4 / .4~ )^(4!) ) ] } + √4Brian Rogers
7324! / √4 + (√4 + 4)!Ben Macauley
733√{ √[ √( (4/.4~)^(4!) ) ] } + 4Brian Rogers
7364 * 4 + (√4 + 4)!Ben Macauley
7404! + (√4 + 4)! - 4Ben Macauley
7424! + (√4 + 4)! - √4Ben Macauley
7444! + √[(√4 + 4)! ^ √4]Ben Macauley
746√4 + 4! + (√4 + 4)!Ben Macauley
7484 + 4! + (√4 + 4)!Ben Macauley
756[4 + √4]! + 4! / √(.4~)Brian Rogers
760(4 + 4!) ^ √4 - 4!Ben Macauley
76444 + (√4 + 4)!Ben Macauley
7684! + 4! + (√4 + 4)!Ben Macauley
774(4 + √4)! + 4!/.4~MrAmerica
780(4 + 4!) ^ √4 - 4Ben Macauley
782(4 + 4!) ^ √4 - √4Ben Macauley
784(√(√[√4 ^ 4!])) + (√4 + 4)!Ben Macauley
786√4 + (4 + 4!) ^ √4Ben Macauley
7884 + (4 + 4!) ^ √4Ben Macauley
792(4! + 4/ .4~) * 4!MrAmerica
800√4 * [(4! - 4) ^ √4]Ben Macauley
8084! + (4 + 4!) ^ √4Ben Macauley
8164 * 4! + (√4 + 4)!Ben Macauley
8324^4 + 4! * 4!Ben Macauley
840(4 + 4)! / (4! + 4!)Ben Macauley
858(4! * 4! - 4) / √(.4~)Brian Rogers
860(4! * 4!)/√(.4~) - 4Brian Rogers
861(4! * 4! - √4)/√(.4~)Brian Rogers
862(4! *4!) / √(.4~) - √4Brian Rogers
863(4! * 4! - √(.4~))/√(.4~)Brian Rogers
8644! * (4! + 4! / √4)Ben Macauley
865[4! * 4! + √(.4~)] / √(.4~)Brian Rogers
866(4! * 4!) / √(.4~) + √4Brian Rogers
867(4! * 4! + √4) / √(.4~)Brian Rogers
868(4! * 4!) / √(.4~) + 4Brian Rogers
870(4! * 4! + 4) / √(.4~)Brian Rogers
880(4! - 4) * 44Ben Macauley
888√4 * 444Ben Macauley
900√4 + (4 + 4!) ^ √4Ben Macauley
9284 * ((4 ^ 4) - 4!)Ben Macauley
960√4 * 4! * (4! - 4)Ben Macauley
968√4 * [(4! - √4] ^ √4)Ben Macauley
9764^4 + (√4 + 4)!Ben Macauley
984√(4! * (4! + (4 + 4)!))Ben Macauley
999444 / .4~Brian Rogers
10004 * 4^4 - 4!Ben Macauley
1024[(4+4)^4]/4Leandro
1110444 / .4Mr Nord's class
1152(44+4) * 4!MrAmerica
1776444*4MrAmerica
193644*44MrAmerica
23004! * 4! * 4 - 4MrAmerica
23084! * 4! * 4 + 4MrAmerica
34564! * 4! * 4! / 4Leandro
43204! * (4+√4)! / 4MrAmerica
44444444Ken
5040(4+4-(4/4))!MrAmerica
[8000](4!-4) ^ √(4/.4~)MrAmerica
138004! * 4! * 4! - 4!Mars
3317764! * 4! * 4! * 4!dazzerish