Express each integer between 1 and 1000 as a sum of four cubes of integers (which can be positive, negative, or zero).
DEFDBL A-Z
DIM cube(20)
OPEN "sumcubes.txt" FOR OUTPUT AS #2
FOR n = 0 TO 20
cube(n) = n * n * n: PRINT n, cube(n)
NEXT
FOR asub = 0 TO 20
FOR bsub = asub TO 20
FOR csub = bsub TO 20
FOR dsub = csub TO 20
FOR a = -cube(asub) TO cube(asub) STEP cube(asub)
FOR b = -cube(bsub) TO cube(bsub) STEP cube(bsub)
FOR c = -cube(csub) TO cube(csub) STEP cube(csub)
FOR d = -cube(dsub) TO cube(dsub) STEP cube(dsub)
tot = a + b + c + d
IF tot > 0 AND tot <= 1000 THEN
PRINT USING "#### = ##### + ##### + ##### + #####"; tot; a; b; c; d
PRINT #2, USING "#### = ##### + ##### + ##### + #####"; tot; a; b; c; d
ct = ct + 1
END IF
IF dsub = 0 THEN EXIT FOR
NEXT
IF csub = 0 THEN EXIT FOR
NEXT
IF bsub = 0 THEN EXIT FOR
NEXT
IF asub = 0 THEN EXIT FOR
NEXT
NEXT
NEXT
NEXT
NEXT
PRINT ct
CLOSE
with its output (after sorting) read by:
DEFDBL A-Z
OPEN "SUMCUBES.TXT" FOR INPUT AS #1
OPEN "SUMCUBE2.TXT" FOR OUTPUT AS #2
OPEN "missing sums of cubes.txt" for output AS #3
DO
LINE INPUT #1, l$
tot = VAL(LEFT$(l$, 4))
a = VAL(MID$(l$, 8, 5))
b = VAL(MID$(l$, 16, 5))
c = VAL(MID$(l$, 24, 5))
d = VAL(MID$(l$, 32, 5))
IF tot <> prev THEN
IF prev > 0 THEN
GOSUB rept
END IF
prev = tot
first$ = l$
hadpos = 0
hadnneg = 0
END IF
IF a > 0 AND b > 0 AND c > 0 AND d > 0 THEN
IF hadpos = 0 THEN
hadpos = 1
pos$ = l$
END IF
IF a >= 0 AND b >= 0 AND c >= 0 AND d >= 0 THEN
hadnneg = 1
nneg$ = l$
END IF
END IF
LOOP UNTIL EOF(1)
GOSUB rept
PRINT missct
PRINT #2, missct
CLOSE
END
rept:
IF hadpos THEN
PRINT pos$
PRINT #2, pos$
ELSEIF hadnneg THEN
PRINT nneg$
PRINT #2, nneg$
ELSE
PRINT first$
PRINT #2, first$
END IF
IF tot - prev > 1 THEN
PRINT #2, " missing "; prev + 1; "-"; tot - 1
missct = missct + tot - prev - 1
FOR mno = prev + 1 TO tot - 1
PRINT #3, mno
NEXT
END IF
RETURN
finds that 45 numbers could not be produced as the sum of cubes whose absolute values did not exceed 20^3. The ones not produced are:
31
50
86
95
148
221
239
265
284
291
292
301
310
356
365
373
382
417
428
437
499
508
564
571
580
589
598
626
634
643
652
724
725
760
769
778
787
788
879
886
905
913
914
949
967
Those that could be produced are shown below with one possible way each:
1 = 0 + 0 + 0 + 1
2 = 0 + 0 + 1 + 1
3 = 0 + 1 + 1 + 1
4 = 1 + 1 + 1 + 1
5 = 8 + -64 + -64 + 125
6 = 0 + -1 + -1 + 8
7 = 0 + 0 + -1 + 8
8 = 0 + 0 + 0 + 8
9 = 0 + 0 + 1 + 8
10 = 0 + 1 + 1 + 8
11 = 1 + 1 + 1 + 8
12 = 0 + 343 + 1000 + -1331
13 = 1 + 343 + 1000 + -1331
14 = -1 + -1 + 8 + 8
15 = 0 + -1 + 8 + 8
16 = 0 + 0 + 8 + 8
17 = 0 + 1 + 8 + 8
18 = 1 + 1 + 8 + 8
19 = 0 + 0 + -8 + 27
20 = 0 + 1 + -8 + 27
21 = 0 + -1331 + -2744 + 4096
22 = 1 + -1331 + -2744 + 4096
23 = -1 + 8 + 8 + 8
24 = 0 + 8 + 8 + 8
25 = 1 + 8 + 8 + 8
26 = 0 + 0 + -1 + 27
27 = 0 + 0 + 0 + 27
28 = 0 + 0 + 1 + 27
29 = 0 + 1 + 1 + 27
30 = 1 + 1 + 1 + 27
missing 31 - 31
32 = 8 + 8 + 8 + 8
33 = -1 + -1 + 8 + 27
34 = 0 + -1 + 8 + 27
35 = 0 + 0 + 8 + 27
36 = 0 + 1 + 8 + 27
37 = 1 + 1 + 8 + 27
38 = 0 + 1 + -27 + 64
39 = 1 + 1 + -27 + 64
40 = -8 + -8 + -8 + 64
41 = -64 + -64 + -343 + 512
42 = 8 + -27 + -64 + 125
43 = 0 + 8 + 8 + 27
44 = 1 + 8 + 8 + 27
45 = 0 + 8 + -27 + 64
46 = 0 + -8 + 27 + 27
47 = 0 + 216 + 343 + -512
48 = 0 + -8 + -8 + 64
49 = 1 + -8 + -8 + 64
missing 50 - 50
51 = 8 + 8 + 8 + 27
52 = 8 + -125 + -343 + 512
53 = 0 + -1 + 27 + 27
54 = 0 + 0 + 27 + 27
55 = 0 + 1 + 27 + 27
56 = 1 + 1 + 27 + 27
57 = 0 + 1 + -8 + 64
58 = 1 + 1 + -8 + 64
59 = -1 + -1 + -64 + 125
60 = 0 + -1 + -64 + 125
61 = 0 + 0 + -64 + 125
62 = 0 + 1 + -64 + 125
63 = 1 + 8 + 27 + 27
64 = 0 + 0 + 0 + 64
65 = 0 + 0 + 1 + 64
66 = 0 + 1 + 1 + 64
67 = 1 + 1 + 1 + 64
68 = -1 + 8 + -64 + 125
69 = 0 + 8 + -64 + 125
70 = 8 + 8 + 27 + 27
71 = 0 + -1 + 8 + 64
72 = 0 + 0 + 8 + 64
73 = 0 + 1 + 8 + 64
74 = 1 + 1 + 8 + 64
75 = -8 + -8 + 27 + 64
76 = 64 + 343 + 1000 + -1331
77 = 8 + 8 + -64 + 125
78 = -27 + -64 + -343 + 512
79 = 8 + -27 + -27 + 125
80 = 0 + 8 + 8 + 64
81 = 1 + 8 + 8 + 64
82 = 1 + 27 + 27 + 27
83 = 0 + -8 + 27 + 64
84 = 1 + -8 + 27 + 64
85 = -8 + -125 + -125 + 343
missing 86 - 86
87 = -1 + 27 + -64 + 125
88 = 8 + 8 + 8 + 64
89 = 8 + 27 + 27 + 27
90 = 0 + -1 + 27 + 64
91 = 0 + 0 + 27 + 64
92 = 0 + 1 + 27 + 64
93 = 1 + 1 + 27 + 64
94 = 1 + -125 + -125 + 343
missing 95 - 95
96 = 8 + 27 + -64 + 125
97 = 0 + -1 + -27 + 125
98 = 0 + 0 + -27 + 125
99 = 0 + 1 + -27 + 125
100 = 1 + 8 + 27 + 64
101 = 0 + -27 + 64 + 64
102 = 1 + -27 + 64 + 64
103 = -512 + -1331 + -4913 + 6859
104 = -1 + -64 + -343 + 512
105 = 0 + -64 + -343 + 512
106 = 0 + 8 + -27 + 125
107 = 8 + 8 + 27 + 64
108 = 27 + 27 + 27 + 27
109 = 0 + -8 + -8 + 125
110 = 1 + -8 + -8 + 125
111 = -8 + -8 + -216 + 343
112 = -8 + -8 + 64 + 64
113 = 8 + -64 + -343 + 512
114 = 8 + 8 + -27 + 125
115 = 0 + 512 + 1331 + -1728
116 = 0 + -1 + -8 + 125
117 = 0 + 0 + -8 + 125
118 = 0 + 1 + -8 + 125
119 = 1 + 27 + 27 + 64
120 = 0 + -8 + 64 + 64
121 = 1 + -8 + 64 + 64
122 = -1 + -1 + -1 + 125
123 = 0 + -1 + -1 + 125
124 = 0 + 0 + -1 + 125
125 = 0 + 0 + 0 + 125
126 = 8 + 27 + 27 + 64
127 = 0 + 0 + -216 + 343
128 = 1 + 1 + 1 + 125
129 = 0 + 1 + 64 + 64
130 = 1 + 1 + 64 + 64
131 = -1 + -1 + 8 + 125
132 = 0 + -1 + 8 + 125
133 = 0 + 0 + 8 + 125
134 = 0 + 1 + 8 + 125
135 = 1 + 1 + 8 + 125
136 = 0 + 8 + 64 + 64
137 = 1 + 8 + 64 + 64
138 = 1 + -729 + -1331 + 2197
139 = 343 + 343 + 2197 + -2744
140 = -1 + 8 + 8 + 125
141 = 0 + 8 + 8 + 125
142 = 1 + 8 + 8 + 125
143 = 1 + -27 + -343 + 512
144 = 8 + 8 + 64 + 64
145 = 27 + 27 + 27 + 64
146 = 0 + -125 + -729 + 1000
147 = 1 + -125 + -729 + 1000
missing 148 - 148
149 = 8 + 8 + 8 + 125
150 = 8 + -27 + -343 + 512
151 = 0 + -1 + 27 + 125
152 = 0 + 0 + 27 + 125
153 = 0 + 1 + 27 + 125
154 = 1 + 1 + 27 + 125
155 = 0 + 27 + 64 + 64
156 = 1 + 27 + 64 + 64
157 = 64 + -125 + -125 + 343
158 = 512 + 512 + 1331 + -2197
159 = -1 + 8 + 27 + 125
160 = 0 + 8 + 27 + 125
161 = 1 + 8 + 27 + 125
162 = 0 + -27 + 64 + 125
163 = 8 + 27 + 64 + 64
164 = 27 + -729 + -1331 + 2197
165 = -27 + 64 + 64 + 64
166 = -8 + 343 + 343 + -512
167 = -1 + -1 + -343 + 512
168 = 8 + 8 + 27 + 125
169 = 0 + 0 + -343 + 512
170 = 0 + 1 + -343 + 512
171 = 0 + -125 + -216 + 512
172 = 1 + -125 + -216 + 512
173 = -1 + 343 + 343 + -512
174 = 0 + 343 + 343 + -512
175 = 1 + 343 + 343 + -512
176 = -1 + 8 + -343 + 512
177 = 0 + 8 + -343 + 512
178 = 0 + -1000 + -2197 + 3375
179 = 0 + 27 + 27 + 125
180 = 1 + 27 + 27 + 125
181 = 0 + -8 + 64 + 125
182 = 27 + 27 + 64 + 64
183 = 0 + 1000 + 4096 + -4913
184 = 1 + 1000 + 4096 + -4913
185 = 8 + 8 + -343 + 512
186 = 0 + -64 + 125 + 125
187 = 8 + 27 + 27 + 125
188 = 0 + -1 + 64 + 125
189 = 0 + 0 + 64 + 125
190 = 0 + 1 + 64 + 125
191 = 1 + 1 + 64 + 125
192 = 0 + 64 + 64 + 64
193 = 1 + 64 + 64 + 64
194 = 8 + -64 + 125 + 125
195 = -1 + 27 + -343 + 512
196 = 0 + 27 + -343 + 512
197 = 0 + 8 + 64 + 125
198 = 1 + 8 + 64 + 125
199 = 8 + 64 + -216 + 343
200 = 8 + 64 + 64 + 64
201 = 1 + -8 + -8 + 216
202 = -8 + -8 + -125 + 343
203 = -1 + -343 + -2197 + 2744
204 = 0 + -343 + -2197 + 2744
205 = 8 + 8 + 64 + 125
206 = 27 + 27 + 27 + 125
207 = 0 + -1 + -8 + 216
208 = 0 + 0 + -8 + 216
209 = 0 + 1 + -8 + 216
210 = 0 + -8 + -125 + 343
211 = 1 + -8 + -125 + 343
212 = 8 + -343 + -2197 + 2744
213 = -1 + -1 + -1 + 216
214 = 0 + -1 + -1 + 216
215 = 0 + 0 + -1 + 216
216 = 0 + 0 + 0 + 216
217 = 1 + 27 + 64 + 125
218 = 0 + 0 + -125 + 343
219 = 1 + 1 + 1 + 216
220 = 1 + 1 + -125 + 343
missing 221 - 221
222 = -1 + -1 + 8 + 216
223 = 0 + -1 + 8 + 216
224 = 8 + 27 + 64 + 125
225 = 0 + 1 + 8 + 216
226 = 1 + 1 + 8 + 216
227 = 1 + 8 + -125 + 343
228 = 216 + 343 + 1000 + -1331
229 = -125 + -512 + -1331 + 2197
230 = -64 + 125 + -343 + 512
231 = 8 + -27 + 125 + 125
232 = 0 + 8 + 8 + 216
233 = 1 + 8 + 8 + 216
234 = 1 + 64 + -343 + 512
235 = 0 + -8 + 27 + 216
236 = 1 + -8 + 27 + 216
237 = -8 + 27 + -125 + 343
238 = 64 + 343 + 343 + -512
missing 239 - 239
240 = 8 + 8 + 8 + 216
241 = 0 + 512 + 729 + -1000
242 = 0 + -1 + 27 + 216
243 = 27 + 27 + 64 + 125
244 = 0 + 1 + 27 + 216
245 = 1 + 1 + 27 + 216
246 = 1 + 27 + -125 + 343
247 = 64 + 1000 + 4096 + -4913
248 = -1 + -1 + 125 + 125
249 = 0 + -1 + 125 + 125
250 = 0 + 0 + 125 + 125
251 = 0 + 1 + 125 + 125
252 = 1 + 1 + 125 + 125
253 = 0 + 64 + 64 + 125
254 = 1 + 64 + 64 + 125
255 = -8 + -8 + -729 + 1000
256 = 64 + 64 + 64 + 64
257 = -1 + 8 + 125 + 125
258 = 0 + 8 + 125 + 125
259 = 1 + 8 + 125 + 125
260 = 0 + 729 + 1728 + -2197
261 = 8 + 64 + 64 + 125
262 = 0 + -125 + -125 + 512
263 = 0 + -8 + -729 + 1000
264 = 1 + -8 + -729 + 1000
missing 265 - 265
266 = 8 + 8 + 125 + 125
267 = 0 + -64 + -1000 + 1331
268 = 1 + -64 + -1000 + 1331
269 = 0 + -27 + -216 + 512
270 = 0 + -1 + -729 + 1000
271 = 1 + 27 + 27 + 216
272 = 0 + 1 + -729 + 1000
273 = 1 + 1 + -729 + 1000
274 = -8 + 64 + -125 + 343
275 = 8 + -64 + -1000 + 1331
276 = -1 + 27 + 125 + 125
277 = 0 + 27 + 125 + 125
278 = 1 + 27 + 125 + 125
279 = 0 + 0 + -64 + 343
280 = 27 + 64 + 64 + 125
281 = 0 + 1 + 64 + 216
282 = 1 + 1 + 64 + 216
283 = 1 + 64 + -125 + 343
missing 284 - 284
285 = 8 + 27 + 125 + 125
286 = -1 + 8 + -64 + 343
287 = 0 + 8 + -64 + 343
288 = 0 + 8 + 64 + 216
289 = 1 + 8 + 64 + 216
290 = 1 + -27 + -27 + 343
missing 291 - 292
293 = -1 + 125 + -343 + 512
294 = 0 + 125 + -343 + 512
295 = 0 + -1 + -216 + 512
296 = 8 + 8 + 64 + 216
297 = 27 + 27 + 27 + 216
298 = 0 + 27 + -729 + 1000
299 = 1 + 27 + -729 + 1000
300 = -8 + -8 + -27 + 343
missing 301 - 301
302 = 8 + 125 + -343 + 512
303 = 8 + 512 + 512 + -729
304 = 27 + 27 + 125 + 125
305 = 0 + -512 + -4096 + 4913
306 = 0 + 27 + -64 + 343
307 = 0 + 27 + 64 + 216
308 = 1 + 27 + 64 + 216
309 = 1 + -8 + -27 + 343
missing 310 - 310
311 = -64 + 125 + 125 + 125
312 = 8 + 8 + -216 + 512
313 = 8 + -512 + -4096 + 4913
314 = 0 + 64 + 125 + 125
315 = 1 + 64 + 125 + 125
316 = 0 + 0 + -27 + 343
317 = 64 + 64 + 64 + 125
318 = 1 + 1 + -27 + 343
319 = -8 + -8 + -8 + 343
320 = -64 + -64 + -64 + 512
321 = -1 + -64 + -343 + 729
322 = 8 + 64 + 125 + 125
323 = 0 + -8 + -1000 + 1331
324 = 0 + 8 + -27 + 343
325 = 1 + 8 + -27 + 343
326 = -1 + -8 + -8 + 343
327 = 0 + -8 + -8 + 343
328 = 1 + -8 + -8 + 343
329 = -1 + -1 + -1000 + 1331
330 = 0 + -1 + -1000 + 1331
331 = 0 + 0 + -1000 + 1331
332 = 0 + 1 + -1000 + 1331
333 = 0 + -8 + 125 + 216
334 = 27 + 27 + 64 + 216
335 = 0 + 0 + -8 + 343
336 = 0 + 1 + -8 + 343
337 = 1 + 1 + -8 + 343
338 = -1 + 8 + -1000 + 1331
339 = 0 + 8 + -1000 + 1331
340 = 0 + -1 + 125 + 216
341 = 27 + 64 + 125 + 125
342 = 0 + 0 + -1 + 343
343 = 1 + 1 + 125 + 216
344 = 0 + 0 + 1 + 343
345 = 1 + 64 + 64 + 216
346 = 1 + 1 + 1 + 343
347 = 8 + 8 + -1000 + 1331
348 = -1 + 8 + 125 + 216
349 = 0 + 8 + 125 + 216
350 = 1 + 8 + 125 + 216
351 = 0 + 0 + 8 + 343
352 = 8 + 64 + 64 + 216
353 = 1 + 1 + 8 + 343
354 = 0 + -512 + -1331 + 2197
355 = 1 + -512 + -1331 + 2197
missing 356 - 356
357 = 8 + 8 + 125 + 216
358 = 0 + 27 + -1000 + 1331
359 = 0 + 8 + 8 + 343
360 = 1 + 8 + 8 + 343
361 = 1 + 64 + -216 + 512
362 = 0 + -8 + 27 + 343
363 = 0 + -125 + -512 + 1000
364 = 1 + -125 + -512 + 1000
missing 365 - 365
366 = 8 + 27 + -1000 + 1331
367 = 8 + 8 + 8 + 343
368 = 0 + 27 + 125 + 216
369 = 1 + 27 + 125 + 216
370 = 0 + 0 + 27 + 343
371 = 27 + 64 + 64 + 216
372 = 1 + 1 + 27 + 343
missing 373 - 373
374 = -1 + 125 + 125 + 125
375 = 0 + 125 + 125 + 125
376 = 1 + 125 + 125 + 125
377 = 1 + 1728 + 2744 + -4096
378 = 64 + 64 + 125 + 125
379 = 1 + 8 + 27 + 343
380 = 0 + -27 + 64 + 343
381 = 1 + -27 + 64 + 343
missing 382 - 382
383 = 8 + 125 + 125 + 125
384 = 0 + -64 + -64 + 512
385 = 0 + -1 + -343 + 729
386 = 8 + 8 + 27 + 343
387 = 0 + 0 + -125 + 512
388 = 0 + 1 + -125 + 512
389 = 0 + -8 + -1331 + 1728
390 = 1 + -8 + -1331 + 1728
391 = -8 + -8 + 64 + 343
392 = 8 + -64 + -64 + 512
393 = 8 + 216 + -343 + 512
394 = 0 + 8 + -343 + 729
395 = 27 + 27 + 125 + 216
396 = 0 + -1 + -1331 + 1728
397 = 0 + 0 + -1331 + 1728
398 = 1 + 27 + 27 + 343
399 = 0 + -8 + 64 + 343
400 = 1 + -8 + 64 + 343
401 = -64 + 1331 + 1331 + -2197
402 = 27 + 125 + 125 + 125
403 = 8 + 8 + -125 + 512
404 = 0 + -64 + 125 + 343
405 = 8 + 27 + 27 + 343
406 = 1 + 64 + 125 + 216
407 = 0 + 0 + 64 + 343
408 = 64 + 64 + 64 + 216
409 = 1 + 1 + 64 + 343
410 = -64 + -343 + -4096 + 4913
411 = -1 + -729 + -6859 + 8000
412 = 0 + -729 + -6859 + 8000
413 = 8 + 64 + 125 + 216
414 = 0 + 27 + -125 + 512
415 = 0 + 8 + 64 + 343
416 = 1 + 8 + 64 + 343
missing 417 - 417
418 = 64 + -512 + -1331 + 2197
419 = -64 + -64 + -2197 + 2744
420 = 8 + -729 + -6859 + 8000
421 = 0 + -27 + -64 + 512
422 = 0 + -125 + -2197 + 2744
423 = 8 + 8 + 64 + 343
424 = 27 + 27 + 27 + 343
425 = 1 + -8 + 216 + 216
426 = -8 + 27 + 64 + 343
427 = 64 + -125 + -512 + 1000
missing 428 - 428
429 = 8 + -27 + -64 + 512
430 = 8 + -125 + -2197 + 2744
431 = 0 + -1 + 216 + 216
432 = 27 + 64 + 125 + 216
433 = 0 + 1 + 216 + 216
434 = 1 + 1 + 216 + 216
435 = 1 + 27 + 64 + 343
436 = -125 + -125 + 343 + 343
missing 437 - 437
438 = -27 + 1331 + 1331 + -2197
439 = 64 + 125 + 125 + 125
440 = 0 + 8 + 216 + 216
441 = 1 + 8 + 216 + 216
442 = 8 + 27 + 64 + 343
443 = 1 + -27 + -1728 + 2197
444 = -27 + 64 + 64 + 343
445 = -8 + 1000 + 2197 + -2744
446 = -1 + -1 + -64 + 512
447 = 0 + -1 + -64 + 512
448 = 8 + 8 + 216 + 216
449 = 0 + 1 + -64 + 512
450 = 0 + 64 + -343 + 729
451 = 0 + 64 + -125 + 512
452 = 1 + 64 + -125 + 512
453 = 0 + 1000 + 2197 + -2744
454 = 1 + 1000 + 2197 + -2744
455 = -1 + 8 + -64 + 512
456 = 0 + 8 + -64 + 512
457 = 1 + 8 + -64 + 512
458 = 0 + -27 + -27 + 512
459 = 0 + 27 + 216 + 216
460 = 1 + 27 + 216 + 216
461 = 27 + 27 + 64 + 343
462 = 1 + -8 + -1728 + 2197
463 = -8 + 64 + 64 + 343
464 = 8 + 8 + -64 + 512
465 = 0 + 1331 + 1331 + -2197
466 = 0 + 125 + 125 + 216
467 = 1 + 125 + 125 + 216
468 = 0 + 0 + 125 + 343
469 = 64 + 64 + 125 + 216
470 = 1 + 1 + 125 + 343
471 = 0 + 64 + 64 + 343
472 = 1 + 64 + 64 + 343
473 = 8 + 1331 + 1331 + -2197
474 = 8 + 125 + 125 + 216
475 = 0 + 27 + -64 + 512
476 = 0 + 8 + 125 + 343
477 = 1 + 8 + 125 + 343
478 = 1 + 8 + -1728 + 2197
479 = 8 + 64 + 64 + 343
480 = 0 + -8 + -512 + 1000
481 = 1 + -8 + -512 + 1000
482 = 8 + -343 + -4096 + 4913
483 = 0 + -64 + -2197 + 2744
484 = 8 + 8 + 125 + 343
485 = 0 + 0 + -27 + 512
486 = 27 + 27 + 216 + 216
487 = 0 + -1 + -512 + 1000
488 = 0 + 0 + -512 + 1000
489 = 0 + 1 + -512 + 1000
490 = 1 + 1 + -512 + 1000
491 = 8 + -64 + -2197 + 2744
492 = -1 + 8 + -27 + 512
493 = 27 + 125 + 125 + 216
494 = 1 + 8 + -27 + 512
495 = 0 + 27 + 125 + 343
496 = 1 + 27 + 125 + 343
497 = 1 + 64 + 216 + 216
498 = 27 + 64 + 64 + 343
missing 499 - 499
500 = 125 + 125 + 125 + 125
501 = 8 + 8 + -27 + 512
502 = -1 + -1 + -8 + 512
503 = 8 + 27 + 125 + 343
504 = 8 + 64 + 216 + 216
505 = 0 + 1 + -8 + 512
506 = 0 + -125 + -2744 + 3375
507 = 1 + -125 + -2744 + 3375
missing 508 - 508
509 = -1 + -1 + -1 + 512
510 = 0 + -1 + -1 + 512
511 = 0 + 0 + -1 + 512
512 = 0 + 0 + 0 + 512
513 = 0 + 0 + 1 + 512
514 = 0 + 1 + 1 + 512
515 = 1 + 1 + 1 + 512
516 = 1 + 27 + -512 + 1000
517 = 64 + 1000 + 2197 + -2744
518 = -1 + -1 + 8 + 512
519 = 0 + -1 + 8 + 512
520 = 0 + 0 + 8 + 512
521 = 0 + 1 + 8 + 512
522 = 1 + 1 + 8 + 512
523 = 27 + 64 + 216 + 216
524 = 1 + -343 + -1331 + 2197
525 = -8 + 64 + -1728 + 2197
526 = 343 + 1000 + 4096 + -4913
527 = 8 + -2197 + -2197 + 4913
528 = 0 + 8 + 8 + 512
529 = 1 + 8 + 8 + 512
530 = 64 + 125 + 125 + 216
531 = 0 + -8 + 27 + 512
532 = 0 + 64 + 125 + 343
533 = 1 + 64 + 125 + 343
534 = 1 + 64 + -1728 + 2197
535 = 64 + 64 + 64 + 343
536 = 8 + 8 + 8 + 512
537 = 8 + -3375 + -4096 + 8000
538 = 0 + -1 + 27 + 512
539 = 0 + 0 + 27 + 512
540 = 8 + 64 + 125 + 343
541 = 1 + 1 + 27 + 512
542 = -8 + 1728 + 2197 + -3375
543 = -8 + -8 + 216 + 343
544 = -8 + 64 + -512 + 1000
545 = -1 + -1 + -2197 + 2744
546 = 0 + -1 + -2197 + 2744
547 = 0 + 0 + -2197 + 2744
548 = 1 + 8 + 27 + 512
549 = 0 + -27 + 64 + 512
550 = 0 + 1728 + 2197 + -3375
551 = 0 + -8 + 216 + 343
552 = 0 + 64 + -512 + 1000
553 = 1 + 64 + -512 + 1000
554 = -1 + 8 + -2197 + 2744
555 = 8 + 8 + 27 + 512
556 = 1 + 8 + -2197 + 2744
557 = 0 + 125 + 216 + 216
558 = 1 + 125 + 216 + 216
559 = 27 + 64 + 125 + 343
560 = 64 + 64 + 216 + 216
561 = 1 + 1 + 216 + 343
562 = 1 + -125 + 343 + 343
563 = 8 + 8 + -2197 + 2744
missing 564 - 564
565 = 8 + 125 + 216 + 216
566 = 0 + 27 + 27 + 512
567 = 1 + 27 + 27 + 512
568 = 1 + 8 + 216 + 343
569 = 1 + -8 + 64 + 512
570 = 64 + -125 + -2744 + 3375
missing 571 - 571
572 = -1 + -64 + 125 + 512
573 = 0 + -64 + 125 + 512
574 = 8 + 27 + 27 + 512
575 = 8 + 8 + 216 + 343
576 = 0 + 0 + 64 + 512
577 = 0 + 1 + 64 + 512
578 = 1 + 1 + 64 + 512
579 = -8 + 1728 + 6859 + -8000
missing 580 - 580
581 = 8 + -64 + 125 + 512
582 = 8 + 27 + -2197 + 2744
583 = 8 + -27 + -729 + 1331
584 = 27 + 125 + 216 + 216
585 = 1 + 8 + 64 + 512
586 = 0 + 27 + 216 + 343
587 = 1 + 27 + 216 + 343
588 = 1 + 1728 + 6859 + -8000
missing 589 - 589
590 = 125 + 1331 + 1331 + -2197
591 = 125 + 125 + 125 + 216
592 = 8 + 8 + 64 + 512
593 = 27 + 27 + 27 + 512
594 = 1 + 125 + 125 + 343
595 = 1 + -8 + -729 + 1331
596 = 64 + 64 + 125 + 343
597 = 1 + -8 + -125 + 729
missing 598 - 598
599 = 125 + -343 + -4096 + 4913
600 = -1 + -1 + -729 + 1331
601 = 8 + 125 + 125 + 343
602 = 0 + 0 + -729 + 1331
603 = 0 + 1 + -729 + 1331
604 = 1 + 27 + 64 + 512
605 = &nb
|
|
Posted by Charlie
on 2013-10-23 12:22:42 |
Computer findings, leaving 45 cases for analytic methods
