# A036057: Friedman numbers: can be written in a nontrivial way using their digits and the operations + - * / ^ and concatenation of digits (but not of results).
# as per http://www2.stetson.edu/~efriedma/mathmagic/0800.html
# Last revised 26 April 2010.
  1       25 = 5^2
  2      121 = 11^2
  3      125 = 5^(1+2)
  4      126 = 6 * 21
  5      127 = - 1 + 2^7
  6      128 = 2^(8-1)
  7      153 = 3 * 51
  8      216 = 6^(2+1)
  9      289 = (8 + 9)^2
 10      343 = (3 + 4)^3
 11      347 = 7^3 + 4
 12      625 = 5^(6-2)
 13      688 = 8 * 86
 14      736 = 7 + 3^6
 15     1022 = 2^10 - 2
 16     1024 = (4 - 2)^10
 17     1206 = 6 * 201
 18     1255 = 5 * 251
 19     1260 = 6 * 210
 20     1285 = (1 + 2^8) * 5
 21     1296 = 6^((9-1)/2)
 22     1395 = 15 * 93
 23     1435 = 35 * 41
 24     1503 = 3 * 501
 25     1530 = 3 * 510
 26     1792 = 7 * 2^(9-1)
 27     1827 = 21 * 87
 28     2048 = 8^4 / 2 + 0
 29     2187 = (2 + 1^8)7
 30     2349 = 29 * 3^4  
 31     2500 = 50^2 + 0
 32     2501 = 50^2 + 1
 33     2502 = 2 + 50^2
 34     2503 = 50^2 + 3
 35     2504 = 50^2 + 4
 36     2505 = 50^2 + 5
 37     2506 = 50^2 + 6
 38     2507 = 50^2 + 7
 39     2508 = 50^2 + 8
 40     2509 = 50^2 + 9
 41     2592 = 2^5 * 9^2
 42     2737 = (2 * 7)^3 - 7
 43     2916 = (1 * 6 * 9)^2
 44     3125 = (3 + 1 * 2)^5
 45     3159 = 9 * 351
 46     3281 = (3^8 + 1) / 2
 47     3375 = (3 + 5 + 7)^3
 48     3378 = (7 + 8)^3 + 3
 49     3685 = (3^6 + 8) * 5
 50     3784 = 8 * 473
 51     3864 = 3 * (- 8 + 6^4)
 52     3972 = 3 + (9 * 7)^2
 53     4088 = 8^4 - 8 - 0
 54     4096 = (4 + 0 * 9)^6
 55     4106 = 4^6 + 10
 56     4167 = 4^6 + 71
 57     4536 = 56 * 3^4
 58     4624 = (64 + 4)^2
 59     4628 = 68^2 + 4
 60     5120 = 5 * 2^10
 61     5776 = 76^(7-5)
 62     5832 = (2 * 5 + 8)^3
 63     6144 = 6 * 4^(4+1)
 64     6145 = 6 * 4^5 + 1
 65     6455 = (6^4 - 5) * 5
 66     6880 = 8 * 860
 67     7928 = 89^2 - 7
 68     8092 = 90^2 - 8
 69     8192 = 8 * 2^(9+1)
 70     9025 = 95^2 + 0
 71     9216 = 1 * 96^2
 72     9261 = 21^(9-6) 
 73    10192 = 101^2 - 9
 74    10201 = 101^2 + 0
 75    10251 = 51 * 201
 76    10255 = 5 * 2051
 77    10368 = 8 * 6^(1+0+3)
 78    10426 = 26 * 401
 79    10521 = 21 * 501
 80    10525 = 5 * 2105
 81    10575 = 15 * 705
 82    10824 = 104^2 + 8 
 83    10935 = 15 * 9^3 + 0
 84    11025 = (110 - 5)^2
 85    11163 = 3 * 61^(1+1)
 86    11259 = 9 * 1251
 87    11264 = 11 * 2^(6+4)
 88    11439 = 9 * 31 * 41
 89    11663 = 16 * 3^6 - 1
 90    11664 = 1 * 1 * 6^6 / 4
 91    11665 = 6^6 / (5 - 1) + 1
 92    11844 = 84 * 141
 93    11848 = 8 * 1481
 94    11943 = 9 * (11^3 - 4)
 95    12006 = 6 * 2001
 96    12060 = 6 * 2010
 97    12091 = 110^2 - 9
 98    12100 = 110^2 + 0
 99    12101 = 110^2 + 1
100    12102 = 110^2 + 2
101    12103 = 110^2 + 3
102    12104 = 110^2 + 4
103    12105 = 110^2 + 5
104    12106 = 110^2 + 6
105    12107 = 110^2 + 7
106    12108 = 110^2 + 8
107    12109 = 110^2 + 9
108    12167 = (16 + 7)^(1+2)
109    12288 = (1+2) * 8^(8/2)
110    12321 = (113 - 2)^2
111    12337 = 73 * 13^2
112    12384 = 3 * 4128
113    12493 = (4 + 9) * 31^2
114    12505 = 5 * 2501
115    12544 = (51 - 2) * 4^4
116    12546 = 51 * 246
117    12550 = 5 * 2510
118    12595 = 5 * 2519
119    12600 = 6 * 2100
120    12762 = 6 * 2127
121    12768 = 8 * 21 * 76
122    12769 = (96 + 17)^2
123    12798 = 2 * 79 * 81
124    12802 = 2 * (80^2 + 1)
125    12843 = 3 * 4281
126    12850 = (-1 + 2^8) * 50
127    12955 = 5 * 2591
128    12960 = 160 * 9^2
129    12964 = 14 * 926
130    12996 = (6 * (1 + 9 + 9))^2
131    13125 = 21 * 5^(3+1)
132    13176 = 61 * (7 - 1 )^3 
133    13225 = (1 * 5 * 23)^2
134    13286 = 26 * (8^3 - 1)
135    13243 = 41 * 323
136    13496 = 4 * ((6 + 9)^3 - 1)
137    13545 = 3 * 4515
138    13689 = (9 * 13)^(8-6)
139    13725 = 5 * ((2 * 7)^3 + 1)
140    13764 = 6 * 31 * 74
141    13813 = (3 * 8)^3 - 11
142    13822 = (3 * 8)^(2+1) - 2 
143    13823 = (3 * 8)3 - 2 + 1
144    13824 = (3 * 8)^(4+1-2)
145    13825 = 1 + (3 * 8)^(-2+5)
146    13826 = (18 + 6)^3 + 2
147    13832 = (3 + 21)^3 + 8 
148    13842 = 24^3 + 18
149    13950 = 15 * 930
150    14035 = 35 * 401
151    14129 = 11^4 - 2^9
152    14168 = 11 * (6^4 - 8)
153    14175 = 7 * 45^(1+1)
154    14256 = (2 * 5 + 1) * 6^4
155    14350 = 35 * 410
156    14352 = 23 * (5^4 - 1)
157    14641 = (1+4+6)^(4*1)
158    14645 = (5 + 6)^4 + 4*1
159    14647 = (4 + 7)^4 + 6*1
160    15003 = 3 * 5001
161    15030 = 3 * 5010
162    15125 = 5 * (5 * 11)^2
163    15246 = 6 * 2541
164    15300 = 3 * 5100
165    15345 = 3 * 5 * (4^5 - 1)
166    15378 = 7 * (5 + 8)^3 - 1
167    15379 = 7 * (5 + 9 - 1)^3 
168    15435 = 3 * 5145
169    15495 = 15 * (4^5 + 9)
170    15552 = (1^5 + 5)^5 * 2
171    15562 = 1 * 2 * (6^5 + 5)
172    15567 = 5^6 - 57 - 1
173    15568 = 5^6 - 58 + 1
174    15585 = 1 * (5^5 - 8) * 5
175    15586 = 5^6 - 5 * 8 + 1
176    15612 = - 1 + 5^6 - 12
177    15613 = 1 + 5^6 - 13
178    15615 = 5^6 - 5 * (1 + 1)
179    15617 = -1 + 5^6 - 1 * 7
180    15618 = 1 + 5^6 - 1 * 8
181    15620 = 5^6 - 10 / 2
182    15621 = -1 + 5^6 - 2 - 1
183    15622 = 1 + 5^6 - 2 - 2
184    15623 = -1 + 5^6 + 2 - 3
185    15624 = 1 + 5^6 + 2 - 4
186    15625 = 5^6 * 1^25
187    15626 = 1 + 5^(6*2-6) 
188    15627 = 5^6 + 2 * 1^7
189    15628 = 5^6 + 8 / 2 - 1
190    15629 = 5^6 + (9 - 1) / 2
191    15631 = 5^6 + (1 + 1) * 3
192    15632 = 1 + 5^6 + 3 * 2 
193    15633 = - 1 + 5^6 + 3 * 3
194    15634 = 5^6 + 13 - 4
195    15635 = 5^6 + 5 * (3 - 1)
196    15641 = 5^6 + 4^(1+1)
197    15642 = 1 + 5^6 + 4^2
198    15645 = 1* 5^6 + 4 * 5
199    15655 = 1 * 5 * (6 + 5^5)
200    15656 = 1 + 5^6 + 5 * 6
201    15661 = 5^6 + 6^(1+1)
202    15662 = 1 + 5^6 + 6^2
203    15667 = 1 * 5^6 + 6 * 7
204    15679 = 5^6 + 9 * (7 - 1)
205    15688 = -1 + 5^6 + 8 * 8
206    15689 = 5^6 + 8 * (9 - 1)
207    15697 = 5^6 + 9 * (7 + 1)
208    15698 = 1 + 5^6 + 9 * 8
209    15795 = 9 * 1755
210    15975 = 5 * 5 * 9 * 71
211    16225 = 6 * 52^2 + 1
212    16245 = 5 * (61 - 4)^2
213    16272 = 6 * 2712
214    16295 = (1 + 6)^5 - 2^9
215    16347 = 4^7 - 36 - 1
216    16348 = 4^8-1 - 36
217    16368 = 8 * 31 * 66 
218    16372 = (1 + 3)^7 - 6 * 2
219    16374 = 4^7 - 1 - 6 - 3
220    16375 = (5 - 1)^7 - 6 - 3
221    16377 = (1 + 6 - 3)^7 - 7
222    16378 = (8 - 3 - 1)^7 - 6
223    16381 = (1 + 1)^(6+8) - 3
224    16382 = (3 - 1)^(6+8) - 2
225    16384 = 16^3 * (8 - 4)
226    16385 = (5 - 3)^(6+8) + 1
227    16447 = - 1 + 64 + 4^7 
228    16448 = 4^(8-1) + 64
229    16479 = 4^7 + 96 - 1
230    16743 = 7^(6-1) - 4^3
231    16758 = 7^5 - 6 * 8 - 1
232    16759 = 7^5 - 6 * (9 - 1)
233    16765 = 7^5 - 6 * (6+1)
234    16783 = 7^(6-1) - 8 * 3
235    16794 = 7^(6-1) - 9 - 4
236    16797 = 7^6 / 7 - 9 - 1
237    16798 = 7^6 / (8 - 1) - 9 
238    16807 = 7^(6-1) + 0 * 8
239    16815 = (1 + 6)^5 + 1 * 8
240    16875 = 1 * 68 + 7^5
241    16879 = 7^(6-1) + 8 * 9
242    17253 = (72 - 1) * 3^5 
243    17325 = 75 * 231
244    17328 = 8 * (3^7 - 21)
245    17346 = 6 * 7 * 413
246    17368 = 8 * (3^7 - 16)
247    17384 = 8 * (3^7 - 14)
248    17428 = 2 * 8714
249    17437 = 47 * 371
250    17482 = 2 * 8741
251    17488 = 8 * (4 - 1)^7 - 8
252    17536 = 1 + 7^5 + 3^6
253    17689 = (7 * 19)^(8-6)
254    17856 = 8 * (5^6 - 1) / 7
255    17892 = 9 * 28 * 71
256    17920 = 70 * 2^9-1
257    17925 = 5 * (7 * 2^9 + 1)
258    18225 = 81 * 225
259    18265 = 65 * 281
260    18270 = 21 * 870
261    18432 = 18 * 4^(3+2)
262    18435 = 18 * 4^5 + 3 
263    18522 = 2 * 21^(8-5)
264    18594 = 18 * (4^5 + 9)
265    18723 = 3 * (71 + 8)^2
266    18744 = 71 * (4^4 + 8)
267    19026 = 21 * 906
268    19215 = 21 * 915
269    19321 = 1 * 139^2
270    19392 = 3^9 - 291
271    19453 = 19 * 4^5 - 3
272    19592 = (5 - 2)^9 - 91
273    19629 = (1 + 2)^9 - 6 * 9
274    19642 = (6 / 2)^9 - 41
275    19653 = 3^9 - 1 * 5 * 6
276    19682 = (6 / 2)^9 - 1^8
277    19683 = 1 * (9 - 6)^8 * 3
278    19684 = (6 * 4 / 8)^9 + 1
279    19692 = (6 / 2)^9 + 9 * 1
280    19693 = (6 - 3)^9 + 1 + 9
281    19732 = 3^9 + 1 * 7^2
282    19734 = 3 * (9^4 + 17)
283    19736 = 9 * (3^7 + 6) - 1
284    19737 = 9 * (3^7 + 7 - 1)
285    19738 = 3^9 + 7 * 8 - 1
286    19739 = (- 1 + 9) * 7 + 3^9
287    19773 = 9 * (7 + 7 - 1)^3 
288    19845 = 5 * 49 * 81
289    20485 = 5 * (2^0 + 8^4)
290    20736 = (2 * 6)^(7-3) + 0
291    21175 = 7 * (5 * 11)^2
292    21375 = 3 * 7125
293    21495 = 21 * 4^5 - 9
294    21504 = 21 * 4^5 + 0
295    21586 = 86 * 251
296    21606 = 6 * (60^2 + 1)
297    21753 = 3 * 7251 
298    21843 = (4^8 - 1) / 3 - 2
299    21844 = (4^8 - 4) / (1 + 2)
300    21845 = (4^8 - 1) / (5 - 2)
301    21848 = (4^8 + 8) / (1 + 2)
302    21870 = 27 * 810
303    21875 = 7 * (8 - 2 - 1)^5
304    21943 = (2 * 14)^3 - 9
305    21952 = (29 - 1)^(5-2)
306    21953 = (2 * (5 + 9))^3 + 1
307    22264 = 46 * 22^2
308    22528 = 22 * (8 / 2)^5
309    22757 = 7 * (57^2 + 2)
310    23326 = 3 * 6^(2+3) - 2
311    23328 = (2 * 3^3)^2 * 8
312    23392 = 32 * (9^3 + 2)
313    23456 = 2^5 * (3^6 + 4)
314    23490 = 290 * 3^4
315    23546 = 23 * 4^5 - 6
316    23548 = (3 + 4) * 58^2
317    23552 = 23 * 2^(5+5) 
318    23796 = 6 * (63^2 - 3)
319    24336 = (4 * (36 + 3))^2
320    24339 = (4 * 39)^2 + 3
321    24367 = 7 * (63 - 4)^2
322    24375 = (37 + 2) * 5^4
323    24385 = (58 / 2)^3 - 4
324    24389 = (2 * 8 + 9 + 4)^3
325    24390 = 29^3 + 4^0
326    24393 = (3 * 9 + 2)^3 + 4
327    24546 = (2 + 4) * (-5 + 4^6)
328    24564 = 6 * (4 * 4^5 - 2)
329    24566 = 6 * 4^6 - 2 * 5
330    24576 = (2 / 4)^(-5-7) * 6
331    24584 = 24 * 4^5 + 8
332    24586 = 6 * 8^4 + 2 * 5
333    24768 = 4 * 72 * 86
334    24964 = (94 + 64)^2
335    24972 = 4 * (79^2 + 2)
336    25105 = 5 * 5021
337    25137 = 513 * 7^2
338    25314 = (15^4 + 3) / 2
339    25375 = 35 * 725
340    25474 = 47 * 542
341    25510 = 5 * 5102
342    25725 = 525 * 7^2
343    25872 = 528 * 7^2
344    25895 = 5 * ((8 * 9)^2 - 5)
345    25921 = (159 + 2)^2
346    26238 = 2 * 2 * 3^8 - 6
347    26244 = (2 / 6)^(-2*4) * 4
348    26348 = 4 * (3^8 + 26)
349    26364 = 26^3 * 6 / 4
350    26496 = 9 * 46 * 2^6
351    26624 = 26 * 2^(4+6)
352    26754 = 546 * 7^2
353    26896 = (96 + 68)^2
354    26973 = 37 * 9^(6/2)
355    27436 = (6 * 7 - 4)^3 / 2
356    27634 = 2 * ((6 * 4)^3 - 7)
357    27639 = 2^7 * 6^3 - 9
358    27648 = (7 - 2 / 8) * 4^6
359    27653 = 6^3 * 2^7 + 5
360    27654 = 27 * 4^5 + 6
361    27783 = (3 * 7)^(8/2) / 7
362    27889 = (79 + 88)^2
363    28217 = (21 * 7)^2 - 7
364    28224 = (2 + 82)^2 * 4
365    28226 = (28 * 6)^2 + 2
366    28322 = 238^2 / 2
367    28476 = 7 * (4^6 - 28)
368    28547 = (8 + 5)^4 - 7 * 2
369    28554 = (8 + 5)^4 - 5 - 2
370    28556 = (8 + 5)^(6-2) - 5
371    28559 = -2 + (8 + 5)^(-5+9)
372    28561 = 1 * (8 + 5)^(6-2)
373    28564 = (8 + 5)^4 + 6 / 2
374    28671 = (2 / 8)^(-6) * 7 - 1
375    28672 = 7 * (8 - 2 - 2)^6
376    28674 = 7 * (8 - 4)^6 + 2
377    28678 = 7 * (8 * 8)^2 + 6
378    28728 = 7 * (8^(2*2) + 8)
379    28749 = 7 * (8^4 + 9 + 2)
380    28764 = 6 * (2 * 7^4 - 8)
381    28784 = 7 * (8^4 + 16)
382    28900 = (80 + 90)^2
383    29160 = 10 * (6 * 9)^2
384    29184 = 4 * 8 * 912
385    29282 = 2 * (9+2)^(8/2)
386    29517 = (9^5 - 1) / 2 - 7
387    29519 = (9^5 - 9) / 2 - 1
388    29523 = 9^5 / 2 - 3 / 2
389    29524 = (2 * 9^5 - 2) / 4
390    29525 = (9^5 - 5) / 2 - 2
391    29526 = (9^5 + 6 / 2) / 2
392    29527 = (9^5 + 7 - 2) / 2
393    29529 = 9^5 / 2 + 9 / 2
394    29531 = (9^5 + 13) / 2
395    29549 = (9^5 + 49) / 2
396    29584 = (4 * 5 * 9 - 8)^2
397    29632 = 32 * 926
398    29768 = 8 * (9 * 6 + 7)^2
399    29795 = 59 * (2^9 - 7)
400    29929 = (9 * 9 + 92)^2
401    30625 = (3 * 60 - 5)^2
402    31250 = 10 * (2 + 3)^5 
403    31252 = 2 * (5^(2*3) + 1)
404    31256 = 1 * 2 * (5^6 + 3)
405    31346 = 43 * 3^6 - 1
406    31347 = 43 * 3^(7-1)
407    31509 = 9 * 3501
408    31590 = 9 * 3510
409    31682 = 62 * (8^3 - 1)
410    32685 = (6 + 2)^5 - 83
411    32697 = 63 * (2^9 + 7)
412    32744 = 2 * (4^7 - 3 * 4)
413    32747 = 2 * 4^7 - 21
414    32751 = 2^(3*5) - 17
415    32759 = (3 - 2 + 7)^5 - 9
416    32761 = 2^(3(6-1)) - 7
417    32762 = 2^(3(7-2)) - 6 
418    32764 = 2^(3*7-6) - 4
419    32765 = -3 + (2 * 7 - 6)^5
420    32768 = (3 - 2 + 7)^6 / 8
421    32771 = 3 + 2^(7+7+1)
422    32772 = 2 * ((7 - 3)^7 + 2)
423    32775 = (7 + 3 - 2)^5 + 7
424    32778 = 2^(7+8) + 7 + 3
425    32781 = 2^(7+8) + 13
426    32782 = 8^(3+2) + 7 * 2
427    32783 = 32^3 + 7 + 8 
428    32785 = 3 + 2 + 7 * 8^5
429    32786 = 2^(7+8) + 3 * 6
430    32795 = 5 * (9^(7-3) - 2)
431    32805 = 5 * (3^8 + 2 * 0)
432    32815 = 5 * (3^8 + 2 * 1)
433    32825 = 5 * (3^8 + 2 * 2)
434    32832 = 32^3 + 8^2
435    32835 = 5 * (3^8 + 2 * 3)
436    32836 = 32^3 + 68
437    32845 = 5 * (3^8 + 2 * 4)
438    32849 = 32^3 + 9^2
439    32851 = 2^15 + 83
440    32853 = 32^3 + 85
441    32854 = 8^5 + 43 * 2
442    32855 = 5 * (3^8 + 2 * 5)
443    32859 = 8^5 + 93 - 2
444    32865 = 5 * (3^8 + 2 * 6)
445    32875 = 5 * (3^8 + 2 * 7)
446    32885 = 5 * (3^8 + 2 * 8)
447    32895 = 5 * (3^8 + 2 * 9)
448    33495 = 33 * (4^5 - 9)
449    33579 = 7 * 9 * 533
450    33655 = 53 * 635
451    33696 = 36 * 936
452    34425 = 3^4 * 425 
453    34968 = 3 * (9 * 6^4 - 8)
454    34986 = 48 * 9^3 - 6
455    34991 = (9 + 9)^4 / 3 - 1
456    34992 = 3 * (9 * 2)^4 / 9
457    34993 = ((9 + 9)^4 + 3) / 3
458    34996 = 6 * (9 + 9)^3 + 4
459    35152 = 2 * (5 * 5 + 1)^3
460    35684 = 8^5 - 4 * 3^6
461    35721 = 3^5 * 7 * 21
462    35726 = 7^2 * 3^6 + 5 
463    35782 = (5^7 - 3^8) / 2
464    35928 = (5^2 + 8)^3 - 9
465    35932 = (3 * (9 + 2))^3 - 5
466    35933 = 33^3 + 5 - 9
467    35937 = (35 + 7 - 9)^3
468    35942 = (42 - 9)^3 + 5
469    36457 = (7 * 5^6 - 4) / 3
470    36549 = 9 * (4^6 - 35)
471    36850 = (3^6 + 8) * 50
472    36855 = 63 * 585 
473    36864 = (6 + 6 - 3) * 8^4
474    36918 = 9 * (8^(3+1) + 6)
475    37179 = 3^7 * (1 + 7 + 9)
476    37187 = 17 * 3^7 + 8
477    37249 = (3 * 7 * 9 + 4)^2
478    37449 = (4^9 - 4 + 3) / 7
479    37668 = 6 * 73 * 86
480    37814 = 74 * (8^3 - 1)
481    37840 = 8 * 4730
482    37845 = 87 * 435
483    37875 = 75 * (8^3 - 5)
484    38416 = 14^(8*3/6)
485    38424 = (2 * (3 + 4))^4 + 8
486    38427 = (2 * 7)^4 + 8 + 3
487    38637 = (8 * 7 - 3) * 3^6
488    38640 = 30 * (-8 + 6^4)
489    38856 = (3^8 - 85) * 6
490    38912 = 38 * 2^(9+1)
491    39216 = ((9 - 2)^6 - 1) / 3
492    39283 = 3^9 * 2 - 83 
493    39288 = 8 * ((9 + 8)^3 - 2)
494    39294 = 2 * (3^9 - 36)
495    39295 = (5^2 + 9)^3 - 9
496    39304 = 34^3 + 0 * 9
497    39313 = (33 + 1)^3 + 9
498    39314 = 34^3 + 1 + 9
499    39328 = 2 * 3^9 - 38
500    39342 = (3^9 - 3 * 4) * 2
501    39343 = 39 + 34^3
502    39356 = 6 * (3^9 - 5) / 3
503    39358 = 3^9 * (-3 + 5) - 8
504    39362 = 6 * (3^9 - 2) / 2
505    39363 = 3^9 / 3 * 6 - 3
506    39366 = 3^9 / (-3 + 6) * 6
507    39368 = 6 * (3^8 + 1 / 3)
508    39369 = 3 + 9^3 * 6 * 9
509    39372 = (3 + 9 * 3^7) * 2
510    39382 = ((3 * 9)^3 + 8) * 2
511    39424 = 2^9 * (3^4 - 4)
512    39456 = 6 * (9^4 + 3 * 5)
513    39784 = 8 * 4973
514    39864 = 6 * (9^4 + 83)
515    39945 = 39 * 4^5 + 9
516    41323 = 43 * 31^2
517    41468 = 4 * (8 * 6^4 - 1)
518    41472 = 2 * (1 + 4 + 7)^4
519    42025 = 205^(4-2)
520    42336 = 6 * (3^4 + 3)^2
521    42875 = (42-7)^(8-5)
522    42898 = 89 * 482 
523    43264 = (6^3 - 4 - 4)^2
524    43268 = (6^3 - 8)^2 + 4
525    43375 = 5^3 * (7^3 + 4)
526    43688 = 86 * (8^3 - 4)
527    43689 = (4^9 + 8) / 6 - 3
528    43691 = 4^9 / 6 + 1 / 3
529    43692 = (4^9 + 2^3) / 6
530    43775 = (4 * 3^7 + 7) * 5
531    43932 = 3 * ((9 + 2)^3 + 3)
532    44375 = 5^4 * (4^3 + 7) 
533    44676 = 6 * 7446
534    44977 = (7 + 7)^4 + 9^4
535    45056 = (50 - 6) * 4^5
536    45360 = 35 * 6^4 + 0
537    45361 = 35 * 6^4 + 1
538    45362 = 35 * 6^4 + 2
539    45363 = 35 * 6^4 + 3
540    45364 = 35 * 6^4 + 4
541    45365 = 35 * 6^4 + 5
542    45366 = 35 * 6^4 + 6
543    45367 = 35 * 6^4 + 7
544    45368 = 35 * 6^4 + 8
545    45369 = 35 * 6^4 + 9
546    45632 = -4^5 + 6^(3*2)
547    45684 = 54 * 846 
548    45760 = 65 * 704
549    45864 = 84 * 546
550    45873 = 7 * 3^8 - 54
551    45927 = ((4 + 5) * 9)^2 * 7
552    45947 = 4 * 5 + 9^4 * 7
553    45957 = 7 * (9^4 + 5) - 5
554    45978 = 7 * (9^4 + 8) - 5
555    46256 = 6^6 - (4 * 5)^2
556    46368 = 36 * (6^4 - 8)
557    46556 = 6^6 - 4 * 5 * 5
558    46593 = 3 * (5^6 - 94)
559    46608 = 6^6 - 48 + 0
560    46613 = 6^6 - 43 * 1
561    46615 = 6 * 6^5 - 41
562    46619 = 6^6 - 9 * 4 - 1
563    46624 = 6^6 - 4 * 4 * 2
564    46626 = -4 + 6^6 - 26
565    46630 = 4 + 6^6 - 30
566    46632 = -4 * 6 + 6^(3*2)
567    46633 = 4 + 6^6 - 3^3 
568    46635 = 6 * (6^5 - 4) + 3
569    46637 = 6^6 - 4 * 3 - 7
570    46640 = 6^6 - 4 * 4 + 0
571    46641 = 6^6 - 4 * 4 + 1
572    46642 = 6^6 - 4 * 4 + 2
573    46643 = 6^6 - 4 * 4 + 3
574    46644 = 4 + 6^6 - 4 * 4
575    46645 = 6^6 - 4 * 4 + 5
576    46646 = 6^6 - 4 * 4 + 6
577    46647 = 6^6 - 4 * 4 + 7
578    46648 = 4 * 6^6 / 4 - 8
579    46649 = 6^6 - 4 * 4 + 9
580    46650 = 6^6 - 5 - 4^0
581    46651 = -4 + 6 * 6^5 - 1
582    46652 = -4 + (6 * 6)^(5-2)
583    46653 = 6^6 - (5 + 4)/3
584    46655 = 4 + 6 * 6^5 - 5
585    46656 = (-4 * 6 + 6 * 5)^6
586    46657 = 6^7 / 6 + 5 - 4
587    46658 = 6 * 6^5 + 8 / 4
588    46660 = 4 + 6^6 + 6 * 0
589    46661 = 6^6 + 4 + 1^6
590    46662 = 6^2 * 6^4 + 6
591    46663 = 4 + 6^6 + 6 - 3
592    46664 = 6^6 + 4 * (6 - 4)
593    46665 = 6 * (6^5 + 6 / 4)
594    46668 = 6^6 + 6 * 8 / 4
595    46672 = 6^7 / 6 + 4^2
596    46673 = -4 + 6^6 + 7 * 3
597    46677 = 6^6 + 4 * 7 - 7 
598    46684 = -4 + 6^6 + 8*4
599    46688 = (4 + 6^6 / 8) * 8
600    46691 = 6^6 + 4 * 9 - 1
601    46851 = (4 - 1) * (5^6 - 8)
602    46875 = (4 + 7 - 8) * 5^6
603    47538 = 57 * 834
604    47652 = 76 * (5^4 + 2)
605    48672 = 78 * 624
606    48750 = 78 * 5^4 + 0
607    48751 = 78 * 5^4 + 1
608    48752 = 78 * 5^4 + 2
609    48753 = 78 * 5^4 + 3
610    48754 = 78 * 5^4 + 4
611    48755 = 78 * 5^4 + 5
612    48756 = 78 * 5^4 + 6
613    48757 = 78 * 5^4 + 7
614    48758 = 78 * 5^4 + 8
615    48759 = 78 * 5^4 + 9
616    49152 = (4 - 1) * 2^(9+5)
617    49277 = 9 * 74^2 - 7 
618    49584 = 48 * (4^5 + 9)
619    49855 = 59 * 845
620    49896 = 6 * 84 * 99
621    49968 = 8 * 9 * 694
622    51200 = 50 * 2^10
623    51398 = (5^9 - 1) / 38
624    51759 = 9 * 5751
625    52168 = 8 * 6521
626    52429 = (4^9 + 2 / 2) / 5
627    52483 = 2 * 4 * 3^8 - 5
628    52488 = (5 + 2 - 4)^8 * 8
629    52493 = 2^3 * 9^4 + 5
630    52498 = 8 * 9^4 + 2 * 5
631    52731 = 217 * 3^5
632    52947 = 4^9 / 2 - 5^7 
633    53245 = 52 * 4^5 - 3
634    53248 = 52 * 4^(8-3)
635    53297 = 2 * 7^5 + 3^9
636    53824 = (8 * (34 - 5))^2
637    53865 = 63 * 855 
638    54369 = (3 + 4) * (6^5 - 9)
639    54378 = 87 * 5^4 + 3
640    54432 = (4 + 3) * (4 + 2)^5
641    54436 = (4 + 3) * 6^5 + 4
642    54476 = 7 * 6^5 + 44 
643    54642 = 42 * (6^4 + 5)
644    54726 = 7 * (6^5 + 42)
645    54768 = 7 * (6^5 + 48)
646    54872 = (8 * 5 - 2)^(7-4)
647    54953 = 9^5 - (3 + 5)^4 
648    54958 = 9^5 - 8^4 + 5
649    55225 = (5 * (52 - 5))^2
650    55296 = 54 * 2^10
651    56295 = 9 * 6255
652    56628 = (5 + 8) * 66^2
653    56732 = 26 * (3^7 - 5)
654    56875 = 65 * 875
655    57288 = 8 * (2^(5+8) - 7)
656    57644 = 4 * (6 * 7^4 + 5)
657    57645 = 5^7 - 5 * 4^6 
658    58921 = 9^5 - 2^(8-1)
659    58957 = 9^5 - 2^8-1
660    58971 = 9^5 - 78 * 1
661    58973 = 9^5 - 83 + 7
662    58978 = 9^5 - 8 * 8 - 7
663    59032 = 9^5 - 20 + 3
664    59038 = 9^5 - 8 - 3 - 0
665    59039 = 9^5 - 87 - 5
666    59044 = 9^5 - 4 - 4^0
667    59045 = 9^5 - 4 - 0 * 5
668    59046 = 9^5 - 4 + 0^6
669    59048 = 9^5 - 48^0
670    59049 = 9^5 + 0 * 4 * 9
671    59050 = 9^5 + 5^0 + 0
672    59051 = 9^5 + 5^0 + 1
673    59052 = 5 + 9^(0+5) - 2
674    59053 = 9^5 + 5^0 + 3
675    59054 = 9^5 + 5^0 + 4
676    59055 = 9^5 + 5^0 + 5
677    59056 = 9^5 + 5^0 + 6
678    59057 = 9^5 + 5^0 + 7
679    59058 = 9^5 + 5^0 + 8
680    59059 = 9^5 + 5^0 + 9
681    59064 = 9^5 + 60 / 4
682    59094 = 9 * (9^4 + 1) + 0
683    59128 = 9^5 + 81 - 2
684    59129 = 9^5 + 9^2 - 1
685    59147 = 9^5 + 7 * 14
686    59263 = 9^5 + 6^3 - 2
687    59265 = 9^5 + 6^(5-2) 
688    59273 = 9^5 + 7 * 32
689    59313 = 39^3 - 5 - 1
690    59314 = 39^(4-1) - 5
691    59318 = 39^(8-5) - 1
692    59319 = 39^(9-5-1)
693    59375 = (9 + 3 + 7) * 5^5
694    59392 = 9^5 + (9 - 2)^3
695    59409 = 9^5 + 4 * 90
696    59451 = 19 * (5^5 + 4)
697    59759 = ((5 + 9)^5 + 7) / 9
698    61435 = 5 * (3 * 6^4 - 1)
699    61440 = 60 * 4^(4+1)
700    62476 = 6 * ((7 - 2)^6 - 4)
701    62503 = (50^3 + 6) / 2
702    62504 = 4 * (5^6 + 2^0)
703    62564 = 4 * 5^6 + 2^6
704    62968 = 68 * 926
705    63478 = 4^8 - 6 * 7^3
706    63895 = 65 * 983
707    63904 = 40^3 - 96 
708    63945 = 63 * (-9 + 4^5)
709    63985 = (8 * 5)^3 - 6 - 9
710    63994 = (49 - 9)^3 - 6
711    64036 = 40^3 + 6 * 6
712    64512 = 4^5 * (2^6 - 1)
713    64513 = 63 * 4^5 + 1
714    64522 = 254^2 + 6
715    64550 = (6^4 - 5) * 50
716    64868 = 4^8 - 668
717    65344 = 64 * (4^5 - 3)
718    65471 = -65 + 4^(7+1)
719    65478 = 4^8 - 65 + 7
720    65480 = 4^8 - 56 + 0
721    65481 = 4^8 - 56 + 1
722    65482 = 4^8 - 56 + 2
723    65483 = 4^8 - 56 + 3
724    65484 = 4^8 - 56 + 4
725    65485 = 4^8 - 56 + 5
726    65486 = 4^8 - 56 + 6
727    65487 = 4^8 - 56 + 7
728    65488 = 4^8 - 56 + 8
729    65489 = 4^8 - 56 + 9
730    65491 = 16^(9-5) - 45
731    65528 = 2^(5+5+6) - 8
732    65531 = (5 - 3)^16 - 5
733    65536 = (6 / 3)^(6+5+5)
734    65542 = 4^(5+5-2) + 6
735    65841 = 4^8 + 5 * 61
736    65884 = 4^8 + 6 * 58
737    66339 = (6 * 6)^3 + 3^9
738    66554 = 65 * 4^5 - 6
739    67149 = 9 * 7461
740    67228 = 28 * 7^(6-2)
741    67234 = 6 + 7^(2+3) * 4
742    67252 = 2 * 2 * (7^5 + 6)
743    67254 = 4 * (7^5 + 6) + 2
744    67392 = 72 * 936
745    67950 = 75 * 906
746    68644 = (4^4 + 6)^(8-6)
747    68800 = 8 * 8600 
748    69253 = 95 * 3^6 - 2
749    69255 = 95 * (5 - 2)^6
750    69472 = 6^7 / 4 - 2^9
751    69822 = 862 * 9^2
752    69895 = 9 * (6^5 - 9) - 8
753    69975 = 6^7 / (9 - 5) - 9
754    69984 = 6^(-9/9+8) / 4
755    69985 = 9 * 6^5 + 9 - 8
756    69993 = 96 * 9^3 + 9
757    70225 = (270 - 5)^2 
758    71199 = 9 * 7911
759    72576 = 567 * 2^7
760    73125 = 13 * 75^2
761    73926 = 6 * 9 * 37^2
762    73984 = (8 * 34)^(9-7)
763    74183 = 31 * (7^4 - 8)
764    74353 = 34 * 3^7 - 5
765    74358 = 34 * (8 - 5)^7
766    74533 = 73 * (4^5 - 3)
767    74536 = 56 * (4 + 7)^3
768    74892 = (4 + 8) * 79^2
769    74897 = (8^7 / 4 + 9) / 7
770    75433 = 4^7 + (3 * 3)^5
771    76335 = 35 * (3^7 - 6)
772    76832 = 2 * (6 + 8)^(7-3) 
773    76835 = (6 + 8)^5 / 7 + 3
774    77459 = 5^7 - 9 * 74
775    78055 = 5^8 / 5 - 70
776    78115 = 5^7 - 8 - 1 - 1
777    78116 = (6 - 1)^7 - 8 - 1
778    78117 = (6 - 1)^7 - 8 * 1
779    78123 = (8 - 3)^7 - 2 * 1
780    78125 = 5^7 * 1^82
781    78126 = (8 - 6 / 2)^7 + 1
782    78132 = (2 + 3)^7 + 8 - 1
783    78133 = (3 + 3 - 1)^7 + 8
784    78135 = 5^7 + 8 + 3 - 1
785    78136 = (6 - 1)^7 + 8 + 3
786    78152 = 5^7 + 28 - 1
787    78163 = (6 - 1)^7 + 38 
788    78165 = 5^7 + 8 * (6 - 1)
789    78225 = 5^7 + (2 * 5)^2
790    78545 = 5^7 + 5 * 84
791    78605 = 5^7 + 6 * 80
792    78659 = 5^7 + 6 * 89
793    78732 = (7 + 7 - 2) * 3^8
794    78975 = 9 * 8775
795    79299 = 9^2 * 979
796    81225 = 1 * 285^2
797    81648 = (8 * 8 - 1) * 6^4
798    81920 = 80 * 2^(9+1)
799    82372 = 287^2 + 3
800    82755 = 5 * (7^5 - 2^8)
801    82936 = (3 * 96)^2 - 8
802    82942 = (4 * 8 * 9)^2 - 2
803    82944 = (9 * 4^4 / 8)^2
804    82952 = (9 * 2^5)^2 + 8
805    83357 = 7^3 * 2^5 + 8
806    83521 = (25 - 8)^(3+1)
807    83524 = (25 - 8)^4 + 3
808    83957 = 5^7 + 8 * 9^3
809    84375 = 5 * (7 + 8)^4 / 3
810    84672 = 48 * (6 * 7)^2
811    85264 = (4 * (68 + 5))^2
812    85293 = (2 * 9 - 5) * 3^8 
813    85358 = (5 + 8) * (3^8 + 5)
814    86142 = 21 * (8^4 + 6)
815    86724 = (7^4 + 8) * 6^2
816    87381 = (8^7 / 8 - 1) / 3
817    87382 = (8^7 / 8 + 2) / 3
818    91125 = (9 * 5 * 1)^(2+1)
819    91853 = (9 + 5) * 3^8 - 1
820    91854 = (9 + 5) * (4 - 1)^8
821    92160 = 10 * 96^2
822    93184 = 91 * 4^(8-3)
823    93217 = 97 * 31^2
824    93294 = 2 * ((4 * 9)^3 - 9)
825    93312 = 2 * (9 * (3 + 1))^3
826    93642 = (9 * 34)^2 + 6
827    94395 = 93 * (4^5 - 9)
828    95232 = 93 * 2^(2*5)
829    95234 = 93 * 4^5 + 2
830    97333 = (39 + 7)^3 - 3
831    97336 = (39 + 7)^(6-3)
832    97343 = (49 - 3)^3 + 7
833    97375 = 779 * 5^3
834    97966 = 7^6 - (9 - 6)^9
835    98256 = 6 * (2^(9+5) - 8)
836    98304 = 3 * 8^(9-4) + 0
837    98305 = 3 * 8^5 + 9^0 
838    98325 = 3 * (8^5 + 9 - 2)
839    98375 = 5 * (9 * 3^7 - 8)
840    98415 = 9^(8-4) * 15
841    98435 = 5 * (3^9 + 8 - 4)
842    99225 = ((9 - 2) * 9 * 5)^2
843   100255 = 5 * 20051
844   100525 = 5 * 20105