/** 
 * List of all reduced triples (y, x, a) of rational integers satisfying the 
 * Mordell equation    y^2 = x^3 + a    with c(a)<=185 and y>=0.
 * Here, c(a) is the multiplicative function that sends a prime power p^k to p^(min(2,k)).
 * This list contains 557 triples in total.
 * We do not list the only reduced solution for a=0, 1^2 = -1^3 + 0, since c(0) is not defined. 
 *
 * Format: "c(a): y^2 = x^3 + a" (without danger we omit the paranthesis around negative x). 
 * Authors: Rafael von Känel and Benjamin Matschke, 2014
 * License: Creative commons 3.0 by-nc.
 */

1: 0^2 = -1^3 + 1
1: 0^2 = 1^3 + -1
1: 1^2 = 0^3 + 1
1: 3^2 = 2^3 + 1
2: 1^2 = -1^3 + 2
2: 5^2 = 3^3 + -2
3: 2^2 = 1^3 + 3
4: 2^2 = 2^3 + -4
4: 3^2 = 1^3 + 8
4: 4^2 = 2^3 + 8
4: 11^2 = 5^3 + -4
4: 13^2 = -7^3 + 512
4: 71^2 = 17^3 + 128
4: 312^2 = 46^3 + 8
5: 2^2 = -1^3 + 5
7: 1^2 = 2^3 + -7
7: 181^2 = 32^3 + -7
9: 1^2 = -2^3 + 9
9: 6^2 = 3^3 + 9
9: 10^2 = 7^3 + -243
9: 15^2 = 6^3 + 9
9: 46^2 = 13^3 + -81
9: 253^2 = 40^3 + 9
10: 3^2 = -1^3 + 10
11: 4^2 = 3^3 + -11
11: 58^2 = 15^3 + -11
12: 2^2 = -2^3 + 12
12: 4^2 = -2^3 + 24
12: 4^2 = 4^3 + -48
12: 5^2 = 1^3 + 24
12: 7^2 = 1^3 + 48
12: 11^2 = -23^3 + 12288
12: 32^2 = 10^3 + 24
12: 47^2 = 13^3 + 12
12: 131^2 = 25^3 + 1536
12: 148^2 = 28^3 + -48
12: 23053^2 = 505^3 + 402653184
12: 736844^2 = 8158^3 + 24
13: 70^2 = 17^3 + -13
15: 4^2 = 1^3 + 15
15: 7^2 = 4^3 + -15
15: 1138^2 = 109^3 + 15
17: 3^2 = -2^3 + 17
17: 4^2 = -1^3 + 17
17: 5^2 = 2^3 + 17
17: 9^2 = 4^3 + 17
17: 23^2 = 8^3 + 17
17: 282^2 = 43^3 + 17
17: 375^2 = 52^3 + 17
17: 378661^2 = 5234^3 + 17
18: 3^2 = 3^3 + -18
18: 9^2 = 3^3 + 54
18: 17^2 = 7^3 + -54
18: 19^2 = -5^3 + 486
18: 19^2 = 7^3 + 18
18: 215^2 = 19^3 + 39366
19: 12^2 = 5^3 + 19
19: 18^2 = 7^3 + -19
20: 4^2 = -4^3 + 80
20: 9^2 = 1^3 + 80
20: 12^2 = 4^3 + 80
20: 14^2 = 6^3 + -20
20: 16^2 = 6^3 + 40
20: 37^2 = 9^3 + 640
20: 52^2 = 14^3 + -40
20: 292^2 = 44^3 + 80
20: 299^2 = 41^3 + 20480
20: 3229^2 = -39^3 + 10485760
22: 7^2 = 3^3 + 22
23: 2^2 = 3^3 + -23
25: 10^2 = 5^3 + -25
25: 29^2 = 6^3 + 625
25: 650^2 = 75^3 + 625
26: 1^2 = 3^3 + -26
26: 5^2 = -1^3 + 26
26: 207^2 = 35^3 + -26
28: 1^2 = -3^3 + 28
28: 6^2 = 2^3 + 28
28: 6^2 = 4^3 + -28
28: 8^2 = 2^3 + 56
28: 15^2 = 1^3 + 224
28: 20^2 = 8^3 + -112
28: 22^2 = 8^3 + -28
28: 29^2 = 9^3 + 112
28: 76^2 = 18^3 + -56
28: 225^2 = 37^3 + -28
28: 251^2 = -55^3 + 229376
28: 20663^2 = 753^3 + 1792
30: 83^2 = 19^3 + 30
31: 2^2 = -3^3 + 31
33: 5^2 = -2^3 + 33
35: 6^2 = 1^3 + 35
35: 36^2 = 11^3 + -35
36: 3^2 = -3^3 + 36
36: 8^2 = -2^3 + 72
36: 9^2 = -15^3 + 3456
36: 9^2 = -3^3 + 108
36: 9^2 = 9^3 + -648
36: 10^2 = -2^3 + 108
36: 10^2 = 4^3 + 36
36: 12^2 = 6^3 + -72
36: 17^2 = 1^3 + 288
36: 18^2 = 6^3 + 108
36: 21^2 = 9^3 + -288
36: 26^2 = 10^3 + -324
36: 28^2 = -8^3 + 1296
36: 28^2 = 10^3 + -216
36: 35^2 = 13^3 + -972
36: 36^2 = 12^3 + -432
36: 42^2 = 12^3 + 36
36: 44^2 = -2^3 + 1944
36: 45^2 = 9^3 + 1296
36: 72^2 = 18^3 + -648
36: 73^2 = -23^3 + 17496
36: 100^2 = 22^3 + -648
36: 136^2 = 10^3 + 17496
36: 177^2 = 33^3 + -4608
36: 183^2 = -15^3 + 36864
36: 189^2 = 33^3 + -216
36: 207^2 = 33^3 + 6912
36: 396^2 = 54^3 + -648
36: 429^2 = 57^3 + -1152
36: 584^2 = 70^3 + -1944
36: 595^2 = 73^3 + -34992
36: 612^2 = 72^3 + 1296
36: 827^2 = 73^3 + 294912
36: 955^2 = 97^3 + -648
36: 963^2 = 153^3 + -2654208
36: 1077^2 = 105^3 + 2304
36: 1090^2 = 106^3 + -2916
36: 2359^2 = -47^3 + 5668704
36: 2681^2 = 193^3 + -1296
36: 7002^2 = 366^3 + 108
36: 11044^2 = 478^3 + 12754584
36: 16839^2 = 657^3 + -41472
36: 39151^2 = 1153^3 + -7776
36: 76941^2 = 1809^3 + -648
36: 85580^2 = 1942^3 + -52488
36: 435447^2 = 5745^3 + 221184
37: 6^2 = -1^3 + 37
37: 8^2 = 3^3 + 37
37: 3788^2 = 243^3 + 37
38: 37^2 = 11^3 + 38
39: 5^2 = 4^3 + -39
39: 31^2 = 10^3 + -39
39: 103^2 = 22^3 + -39
41: 7^2 = 2^3 + 41
43: 4^2 = -3^3 + 43
44: 3^2 = -7^3 + 352
44: 5^2 = 9^3 + -704
44: 6^2 = -2^3 + 44
44: 9^2 = 5^3 + -44
44: 13^2 = 5^3 + 44
44: 19^2 = -7^3 + 704
44: 6179^2 = 345^3 + -2883584
44: 121789^2 = 2457^3 + 22528
45: 9^2 = 6^3 + -135
45: 18^2 = 9^3 + -405
45: 82^2 = 19^3 + -135
45: 96^2 = 21^3 + -45
45: 98^2 = -11^3 + 10935
45: 117^2 = 24^3 + -135
45: 476^2 = 61^3 + -405
47: 13^2 = 6^3 + -47
47: 41^2 = 12^3 + -47
47: 500^2 = 63^3 + -47
49: 13^2 = 8^3 + -343
49: 49^2 = 14^3 + -343
49: 76^2 = 15^3 + 2401
49: 98^2 = 21^3 + 343
49: 147^2 = 28^3 + -343
49: 524^2 = 65^3 + -49
49: 1911^2 = 154^3 + -343
49: 7792^2 = 393^3 + 16807
50: 7^2 = -1^3 + 50
50: 9^2 = 11^3 + -1250
50: 71953^2 = 1719^3 + 97656250
52: 5^2 = -3^3 + 52
52: 12^2 = -4^3 + 208
52: 25^2 = 9^3 + -104
52: 44^2 = 12^3 + 208
52: 57^2 = 17^3 + -1664
52: 73^2 = 17^3 + 416
52: 135^2 = 17^3 + 13312
52: 164^2 = 30^3 + -104
52: 272^2 = 42^3 + -104
52: 15735^2 = 881^3 + -436207616
52: 18719^2 = 705^3 + -1664
53: 26^2 = 9^3 + -53
53: 156^2 = 29^3 + -53
55: 3^2 = 4^3 + -55
55: 28^2 = 9^3 + 55
55: 419^2 = 56^3 + -55
57: 7^2 = -2^3 + 57
57: 11^2 = 4^3 + 57
57: 20^2 = 7^3 + 57
60: 2^2 = 4^3 + -60
60: 11^2 = 1^3 + 120
60: 31^2 = 1^3 + 960
60: 1499^2 = -119^3 + 3932160
60: 1586^2 = 136^3 + -60
61: 8^2 = 5^3 + -61
63: 1^2 = 4^3 + -63
63: 6^2 = -3^3 + 63
63: 8^2 = -5^3 + 189
63: 8^2 = 1^3 + 63
63: 36^2 = 9^3 + 567
63: 118^2 = 25^3 + -1701
63: 188^2 = 37^3 + -15309
63: 4024^2 = 253^3 + -1701
63: 13537^2 = 568^3 + -63
65: 1^2 = -4^3 + 65
65: 8^2 = -1^3 + 65
65: 53^2 = 14^3 + 65
65: 14113^2 = 584^3 + 65
67: 110^2 = 23^3 + -67
68: 2^2 = -4^3 + 68
68: 12^2 = 2^3 + 136
68: 28^2 = 8^3 + 272
68: 33^2 = 1^3 + 1088
68: 73^2 = -15^3 + 8704
68: 191^2 = 33^3 + 544
68: 1874^2 = 152^3 + 68
68: 2651^2 = 137^3 + 4456448
71: 14^2 = 5^3 + 71
71: 21^2 = 8^3 + -71
73: 3^2 = -4^3 + 73
73: 9^2 = 2^3 + 73
73: 10^2 = 3^3 + 73
73: 17^2 = 6^3 + 73
73: 611^2 = 72^3 + 73
73: 6717^2 = 356^3 + 73
74: 985^2 = 99^3 + -74
75: 25^2 = 10^3 + -375
75: 61^2 = 16^3 + -375
75: 173^2 = 34^3 + -9375
76: 7^2 = -3^3 + 76
76: 7^2 = 5^3 + -76
76: 7^2 = 17^3 + -4864
76: 8^2 = 6^3 + -152
76: 11^2 = 9^3 + -608
76: 12^2 = -2^3 + 152
76: 69^2 = 17^3 + -152
76: 121^2 = 17^3 + 9728
76: 132^2 = 26^3 + -152
76: 1015^2 = 101^3 + -76
76: 2231^2 = -15^3 + 4980736
76: 12419^2 = 537^3 + -622592
76: 62129^2 = 1569^3 + -2490368
79: 89^2 = 20^3 + -79
79: 302^2 = 45^3 + 79
82: 9^2 = -1^3 + 82
83: 140^2 = 27^3 + -83
84: 13^2 = 1^3 + 168
84: 20^2 = 4^3 + 336
84: 104^2 = 22^3 + 168
87: 16^2 = 7^3 + -87
89: 5^2 = -4^3 + 89
89: 6^2 = 5^3 + -89
89: 9^2 = -2^3 + 89
89: 33^2 = 10^3 + 89
89: 408^2 = 55^3 + 89
90: 9^2 = -9^3 + 810
90: 89^2 = 31^3 + -21870
90: 243^2 = 39^3 + -270
91: 8^2 = -3^3 + 91
92: 5^2 = -7^3 + 368
92: 10^2 = 2^3 + 92
92: 12^2 = 8^3 + -368
92: 19^2 = 9^3 + -368
92: 20^2 = 6^3 + 184
92: 51^2 = -7^3 + 2944
92: 116^2 = 24^3 + -368
92: 180^2 = 32^3 + -368
92: 213^2 = 41^3 + -23552
92: 332^2 = 48^3 + -368
92: 488^2 = 62^3 + -184
92: 15923^2 = 633^3 + -94208
92: 29004^2 = 944^3 + -368
92: 47577^2 = 1313^3 + -368
94: 11^2 = 3^3 + 94
95: 11^2 = 6^3 + -95
97: 77^2 = 18^3 + 97
98: 21^2 = 7^3 + 98
98: 183^2 = -5^3 + 33614
98: 2395^2 = 179^3 + 686
99: 9^2 = -6^3 + 297
99: 10^2 = 1^3 + 99
99: 17^2 = -2^3 + 297
99: 18^2 = 3^3 + 297
99: 19^2 = 4^3 + 297
99: 45^2 = 12^3 + 297
99: 170^2 = 31^3 + -891
99: 199^2 = 34^3 + 297
99: 333^2 = 48^3 + 297
99: 460^2 = -17^3 + 216513
99: 5066^2 = 295^3 + -8019
99: 7910^2 = 397^3 + -2673
99: 50265^2 = 1362^3 + 297
99: 28748141^2 = 93844^3 + 297
100: 4^2 = 6^3 + -200
100: 5^2 = 5^3 + -100
100: 6^2 = -4^3 + 100
100: 15^2 = 5^3 + 100
100: 23^2 = 9^3 + -200
100: 25^2 = -15^3 + 4000
100: 25^2 = 5^3 + 500
100: 28^2 = -6^3 + 1000
100: 30^2 = 10^3 + -100
100: 44^2 = -4^3 + 2000
100: 47^2 = -31^3 + 32000
100: 55^2 = -15^3 + 6400
100: 75^2 = 25^3 + -10000
100: 88^2 = 14^3 + 5000
100: 90^2 = 20^3 + 100
100: 100^2 = 20^3 + 2000
100: 118^2 = 24^3 + 100
100: 198^2 = 34^3 + -100
100: 261^2 = 41^3 + -800
100: 350^2 = 50^3 + -2500
100: 383^2 = 129^3 + -2000000
100: 411^2 = 41^3 + 100000
100: 415^2 = 65^3 + -102400
100: 525^2 = 65^3 + 1000
100: 536^2 = 66^3 + -200
100: 1075^2 = 105^3 + -2000
100: 2515^2 = 185^3 + -6400
100: 3972^2 = 244^3 + 1250000
100: 8725^2 = 425^3 + -640000
100: 17771^2 = 681^3 + -12800
100: 24743^2 = 849^3 + 256000
100: 137190^2 = 2660^3 + 100
101: 10^2 = -1^3 + 101
101: 926^2 = 95^3 + 101
105: 13^2 = 4^3 + 105
106: 35^2 = 11^3 + -106
106: 59^2 = 15^3 + 106
107: 48^2 = 13^3 + 107
107: 1710^2 = 143^3 + -107
109: 4^2 = 5^3 + -109
109: 1746^2 = 145^3 + -109
113: 7^2 = -4^3 + 113
113: 11^2 = 2^3 + 113
113: 25^2 = 8^3 + 113
113: 38^2 = 11^3 + 113
113: 133^2 = 26^3 + 113
113: 8669^2 = 422^3 + 113
116: 3^2 = 5^3 + -116
116: 4^2 = -6^3 + 232
116: 10^2 = 6^3 + -116
116: 11^2 = -7^3 + 464
116: 20^2 = -4^3 + 464
116: 31^2 = 9^3 + 232
116: 79^2 = 33^3 + -29696
116: 92^2 = 20^3 + 464
116: 234^2 = 38^3 + -116
116: 243^2 = -7^3 + 59392
116: 1465^2 = 129^3 + -464
116: 1986^2 = 158^3 + -116
116: 14149^2 = 585^3 + -7424
116: 21659^2 = 777^3 + 14848
116: 26661^2 = 905^3 + -30408704
116: 1143439^2 = 10913^3 + 7784628224
117: 12^2 = 3^3 + 117
117: 18^2 = -9^3 + 1053
117: 18^2 = -3^3 + 351
117: 144^2 = 27^3 + 1053
117: 226^2 = 43^3 + -28431
117: 404^2 = 55^3 + -3159
117: 2224^2 = 295^3 + -20726199
118: 15^2 = 7^3 + -118
119: 386^2 = 53^3 + 119
121: 2^2 = 5^3 + -121
121: 43^2 = 12^3 + 121
121: 228^2 = 37^3 + 1331
121: 9324^2 = 443^3 + -1331
122: 11^2 = -1^3 + 122
124: 1^2 = 5^3 + -124
124: 4^2 = 8^3 + -496
124: 16^2 = 2^3 + 248
124: 35^2 = 9^3 + 496
124: 60^2 = 16^3 + -496
124: 63^2 = 1^3 + 3968
124: 123^2 = 25^3 + -496
124: 252^2 = 40^3 + -496
124: 263^2 = 41^3 + 248
124: 1201^2 = 113^3 + -496
124: 2271^2 = 193^3 + -2031616
124: 7067^2 = -247^3 + 65011712
124: 13252^2 = 560^3 + -496
124: 23699^2 = 825^3 + 126976
124: 417383^2 = 5585^3 + -7936
126: 1^2 = -5^3 + 126
126: 57^2 = 15^3 + -126
127: 10^2 = -3^3 + 127
127: 63^2 = 16^3 + -127
129: 2^2 = -5^3 + 129
129: 11^2 = -2^3 + 129
129: 65^2 = 16^3 + 129
131: 16^2 = 5^3 + 131
132: 4^2 = -8^3 + 528
132: 14^2 = 4^3 + 132
132: 16^2 = -2^3 + 264
132: 23^2 = 1^3 + 528
132: 65^2 = 1^3 + 4224
132: 68^2 = 16^3 + 528
132: 9371^2 = 265^3 + 69206016
132: 14404^2 = 592^3 + 528
132: 58649^2 = 1489^3 + 138412032
134: 3^2 = -5^3 + 134
138: 173^2 = 31^3 + 138
139: 322^2 = 47^3 + -139
140: 8^2 = -6^3 + 280
140: 13^2 = 9^3 + -560
140: 43^2 = 9^3 + 1120
140: 337^2 = -31^3 + 143360
140: 27971^2 = 921^3 + 1146880
141: 4^2 = -5^3 + 141
141: 22^2 = 7^3 + 141
141: 169852^2 = 3067^3 + 141
142: 13^2 = 3^3 + 142
143: 12^2 = 1^3 + 143
143: 51^2 = 14^3 + -143
145: 9^2 = -4^3 + 145
145: 12^2 = -1^3 + 145
145: 19^2 = 6^3 + 145
145: 397^2 = 54^3 + 145
146: 2723^2 = 195^3 + -146
147: 14^2 = 7^3 + -147
147: 868^2 = 91^3 + -147
147: 521116^2 = 6469^3 + 847425747
148: 11^2 = -3^3 + 148
148: 29^2 = -7^3 + 1184
148: 36^2 = 10^3 + 296
148: 45^2 = -7^3 + 2368
148: 97^2 = 21^3 + 148
148: 101^2 = 9^3 + 9472
148: 267^2 = 41^3 + 2368
148: 433^2 = 33^3 + 151552
148: 1627^2 = 137^3 + 75776
148: 2765^2 = 197^3 + -148
148: 9757^2 = -807^3 + 620756992
150: 5^2 = -5^3 + 150
150: 25^2 = -5^3 + 750
150: 103^2 = 19^3 + 3750
150: 2315^2 = 175^3 + -150
150: 21575^2 = 775^3 + -3750
151: 19^2 = 8^3 + -151
151: 1076^2 = 105^3 + 151
153: 24^2 = 9^3 + -153
153: 37^2 = -2^3 + 1377
153: 54^2 = 15^3 + -459
153: 80^2 = 19^3 + -459
153: 109^2 = -8^3 + 12393
153: 541^2 = -206^3 + 9034497
153: 548^2 = 67^3 + -459
153: 1097^2 = 106^3 + 12393
153: 1736^2 = 13^3 + 3011499
153: 50986^2 = 1375^3 + -37179
154: 111^2 = 23^3 + 154
155: 364^2 = 51^3 + -155
156: 25^2 = 1^3 + 624
156: 34^2 = 10^3 + 156
156: 3197^2 = 217^3 + 2496
159: 29^2 = 10^3 + -159
161: 6^2 = -5^3 + 161
161: 13^2 = 2^3 + 161
161: 15^2 = 4^3 + 161
161: 2619^2 = 190^3 + 161
163: 190^2 = 33^3 + 163
164: 10^2 = -4^3 + 164
164: 12^2 = -8^3 + 656
164: 17^2 = 5^3 + 164
164: 26^2 = 8^3 + 164
164: 157^2 = -39^3 + 83968
164: 193^2 = 33^3 + 1312
164: 716^2 = 80^3 + 656
164: 135109^2 = 2633^3 + 671744
167: 7^2 = 6^3 + -167
169: 14^2 = 3^3 + 169
169: 689^2 = 78^3 + 169
170: 13^2 = -1^3 + 170
170: 453^2 = 59^3 + -170
171: 1^2 = -8^3 + 513
171: 12^2 = -3^3 + 171
171: 27^2 = 6^3 + 513
171: 30^2 = 9^3 + 171
171: 163^2 = 28^3 + 4617
171: 197^2 = -14^3 + 41553
171: 406^2 = 55^3 + -1539
171: 620^2 = 73^3 + -4617
171: 710^2 = 157^3 + -3365793
171: 4141^2 = -236^3 + 30292137
171: 25309^2 = 862^3 + 41553
171: 28682^2 = 937^3 + 171
171: 887041^2 = 9232^3 + 513
172: 1^2 = -7^3 + 344
172: 45^2 = 13^3 + -172
172: 54^2 = 14^3 + 172
172: 59^2 = 9^3 + 2752
172: 65^2 = 17^3 + -688
172: 345^2 = 49^3 + 1376
172: 37283^2 = 1113^3 + 11272192
172: 3188879^2 = 21665^3 + 22016
174: 7^2 = -5^3 + 174
174: 13^2 = 7^3 + -174
174: 22585^2 = 799^3 + -174
174: 376601^2 = 5215^3 + -174
175: 34^2 = 11^3 + -175
175: 50^2 = 15^3 + -875
175: 4964^2 = 291^3 + -875
177: 13^2 = -2^3 + 177
180: 3^2 = 9^3 + -720
180: 6^2 = 6^3 + -180
180: 12^2 = -6^3 + 360
180: 17^2 = -11^3 + 1620
180: 18^2 = -6^3 + 540
180: 19^2 = 1^3 + 360
180: 24^2 = 6^3 + 360
180: 28^2 = 4^3 + 720
180: 33^2 = 9^3 + 360
180: 36^2 = 6^3 + 1080
180: 44^2 = 16^3 + -2160
180: 46^2 = -14^3 + 4860
180: 63^2 = 9^3 + 3240
180: 99^2 = -39^3 + 69120
180: 99^2 = 21^3 + 540
180: 108^2 = 24^3 + -2160
180: 117^2 = 9^3 + 12960
180: 161^2 = 1^3 + 25920
180: 172^2 = 34^3 + -9720
180: 208^2 = 94^3 + -787320
180: 296^2 = 46^3 + -9720
180: 327^2 = -111^3 + 1474560
180: 573^2 = 69^3 + -180
180: 658^2 = 34^3 + 393660
180: 711^2 = 81^3 + -25920
180: 721^2 = -239^3 + 14171760
180: 1473^2 = 129^3 + 23040
180: 1837^2 = -71^3 + 3732480
180: 2177^2 = 169^3 + -87480
180: 2492^2 = 184^3 + -19440
180: 2629^2 = 241^3 + -7085880
180: 5751^2 = 321^3 + -2160
180: 6436^2 = 346^3 + 360
180: 9171^2 = 441^3 + -1658880
180: 10549^2 = 481^3 + -3240
180: 16523^2 = 649^3 + -349920
180: 22671^2 = 801^3 + 51840
180: 54701^2 = 1441^3 + -9720
180: 162467^2 = 3289^3 + -9183300480
180: 238049^2 = 3841^3 + -25920
180: 522717^2 = 6489^3 + -46080
180: 720559^2 = 5281^3 + 371923669440
180: 2867223^2 = 22449^3 + -3092376453120
180: 33384799^2 = 103681^3 + -699840
185: 11^2 = -4^3 + 185