Sums of the form X^A + Y^B + Z^C for
each total in the range -100 to +100.
X^A + Y^B + Z^C = N
---- ---- ---- ----
3^2 + -5^3 + 2^4 = -100
5^2 + -5^3 + 1^4 = -99
9^2 + 4^3 + -3^5 = -98
-4^3 + -2^5 + -1^7 = -97
0^2 + -4^3 + -2^5 = -96
1^2 + -4^3 + -2^5 = -95
-5^3 + 2^5 + -1^7 = -94
4^2 + -5^3 + 2^4 = -93
2^2 + -4^3 + -2^5 = -92
6^2 + 1^3 + -2^7 = -91
6^2 + -5^3 + -1^5 = -90
6^2 + -5^3 + 0^4 = -89
6^2 + -5^3 + 1^4 = -88
3^2 + -4^3 + -2^5 = -87
7^2 + -6^3 + 3^4 = -86
4^2 + 3^3 + -2^7 = -85
5^2 + -5^3 + 2^4 = -84
12^2 + 2^4 + -3^5 = -83
6^2 + 5^3 + -3^5 = -82
9^2 + 3^4 + -3^5 = -81
4^2 + -4^3 + -2^5 = -80
7^2 + 0^3 + -2^7 = -79
7^2 + 1^3 + -2^7 = -78
4^2 + -5^3 + 2^5 = -77
7^2 + -5^3 + 0^4 = -76
7^2 + -5^3 + 1^4 = -75
9^2 + -3^3 + -2^7 = -74
6^2 + -5^3 + 2^4 = -73
8^2 + -2^3 + -2^7 = -72
5^2 + -4^3 + -2^5 = -71
19^2 + -8^3 + 3^4 = -70
3^3 + 2^5 + -2^7 = -69
5^2 + -5^3 + 2^5 = -68
36^2 + -11^3 + -2^5 = -67
-4^3 + -1^5 + -1^7 = -66
0^2 + -4^3 + -1^5 = -65
0^2 + -4^3 + 0^4 = -64
0^2 + -4^3 + 1^4 = -63
1^2 + -4^3 + 1^4 = -62
2^2 + -4^3 + -1^5 = -61
-3^3 + -2^5 + -1^7 = -60
0^2 + -3^3 + -2^5 = -59
1^2 + -3^3 + -2^5 = -58
6^2 + -5^3 + 2^5 = -57
3^2 + -4^3 + -1^5 = -56
2^2 + -3^3 + -2^5 = -55
3^2 + -4^3 + 1^4 = -54
17^2 + -7^3 + 1^4 = -53
3^2 + -5^3 + 2^6 = -52
8^2 + -3^5 + 2^7 = -51
3^2 + -3^3 + -2^5 = -50
4^2 + -4^3 + -1^5 = -49
0^2 + -4^3 + 2^4 = -48
1^2 + -4^3 + 2^4 = -47
9^2 + 1^3 + -2^7 = -46
8^2 + -5^3 + 2^4 = -45
2^2 + -4^3 + 2^4 = -44
4^2 + -3^3 + -2^5 = -43
35^2 + -11^3 + 2^6 = -42
-2^3 + -2^5 + -1^7 = -41
0^2 + -2^3 + -2^5 = -40
1^2 + -2^3 + -2^5 = -39
5^2 + -4^3 + 1^4 = -38
8^2 + 3^3 + -2^7 = -37
2^2 + -2^3 + -2^5 = -36
3^2 + -5^3 + 3^4 = -35
-1^3 + -2^5 + -1^7 = -34
0^2 + -1^3 + -2^5 = -33
0^2 + 0^3 + -2^5 = -32
0^2 + 1^3 + -2^5 = -31
1^2 + 1^3 + -2^5 = -30
-3^3 + -1^5 + -1^7 = -29
0^2 + -3^3 + -1^5 = -28
0^2 + -3^3 + 0^4 = -27
0^2 + -3^3 + 1^4 = -26
1^2 + -3^3 + 1^4 = -25
2^2 + -3^3 + -1^5 = -24
2^2 + -3^3 + 0^4 = -23
2^2 + -3^3 + 1^4 = -22
14^2 + -6^3 + -1^5 = -21
2^2 + 2^3 + -2^5 = -20
3^2 + -3^3 + -1^5 = -19
3^2 + -3^3 + 0^4 = -18
3^2 + -3^3 + 1^4 = -17
4^2 + 0^3 + -2^5 = -16
3^2 + 2^3 + -2^5 = -15
7^2 + -4^3 + 1^4 = -14
12^2 + -5^3 + -2^5 = -13
4^2 + -3^3 + -1^5 = -12
0^2 + -3^3 + 2^4 = -11
-2^3 + -1^5 + -1^7 = -10
0^2 + -2^3 + -1^5 = -9
0^2 + -2^3 + 0^4 = -8
0^2 + -2^3 + 1^4 = -7
1^2 + -2^3 + 1^4 = -6
2^2 + -2^3 + -1^5 = -5
2^2 + -2^3 + 0^4 = -4
-1^3 + -1^5 + -1^7 = -3
0^2 + -1^3 + -1^5 = -2
0^2 + -1^3 + 0^4 = -1
0^2 + 0^3 + 0^4 = 0
0^2 + 0^3 + 1^4 = 1
0^2 + 1^3 + 1^4 = 2
1^2 + 1^3 + 1^4 = 3
2^2 + 0^3 + 0^4 = 4
2^2 + 0^3 + 1^4 = 5
2^2 + 1^3 + 1^4 = 6
0^2 + 2^3 + -1^5 = 7
0^2 + 2^3 + 0^4 = 8
0^2 + 2^3 + 1^4 = 9
1^2 + 2^3 + 1^4 = 10
3^2 + 1^3 + 1^4 = 11
2^2 + 2^3 + 0^4 = 12
2^2 + 2^3 + 1^4 = 13
4^2 + -1^3 + -1^5 = 14
0^2 + -1^3 + 2^4 = 15
0^2 + 0^3 + 2^4 = 16
0^2 + 1^3 + 2^4 = 17
1^2 + 1^3 + 2^4 = 18
2^2 + -1^3 + 2^4 = 19
2^2 + 0^3 + 2^4 = 20
2^2 + 1^3 + 2^4 = 21
7^2 + -3^3 + 0^4 = 22
4^2 + 2^3 + -1^5 = 23
0^2 + 2^3 + 2^4 = 24
1^2 + 2^3 + 2^4 = 25
3^2 + 1^3 + 2^4 = 26
0^2 + 3^3 + 0^4 = 27
0^2 + 3^3 + 1^4 = 28
1^2 + 3^3 + 1^4 = 29
2^2 + 3^3 + -1^5 = 30
2^2 + 3^3 + 0^4 = 31
2^2 + 3^3 + 1^4 = 32
3^2 + 2^3 + 2^4 = 33
5^2 + 2^3 + 1^4 = 34
6^2 + -1^3 + 0^4 = 35
3^2 + 3^3 + 0^4 = 36
3^2 + 3^3 + 1^4 = 37
6^2 + 1^3 + 1^4 = 38
2^3 + 2^5 + -1^7 = 39
4^2 + 2^3 + 2^4 = 40
5^2 + 0^3 + 2^4 = 41
5^2 + 1^3 + 2^4 = 42
0^2 + 3^3 + 2^4 = 43
1^2 + 3^3 + 2^4 = 44
6^2 + 2^3 + 1^4 = 45
3^2 + -3^3 + 2^6 = 46
2^2 + 3^3 + 2^4 = 47
4^2 + 0^3 + 2^5 = 48
5^2 + 2^3 + 2^4 = 49
7^2 + 0^3 + 1^4 = 50
7^2 + 1^3 + 1^4 = 51
3^2 + 3^3 + 2^4 = 52
5^2 + 3^3 + 1^4 = 53
0^2 + -3^3 + 3^4 = 54
8^2 + -2^3 + -1^5 = 55
4^2 + 2^3 + 2^5 = 56
7^2 + 2^3 + 0^4 = 57
7^2 + 2^3 + 1^4 = 58
4^2 + 3^3 + 2^4 = 59
6^2 + 2^3 + 2^4 = 60
8^2 + 5^3 + -2^7 = 61
6^2 + 3^3 + -1^5 = 62
6^2 + 3^3 + 0^4 = 63
0^2 + 4^3 + 0^4 = 64
0^2 + 4^3 + 1^4 = 65
1^2 + 4^3 + 1^4 = 66
2^2 + 4^3 + -1^5 = 67
2^2 + 4^3 + 0^4 = 68
2^2 + 4^3 + 1^4 = 69
4^2 + -3^3 + 3^4 = 70
8^2 + 2^3 + -1^5 = 71
8^2 + 2^3 + 0^4 = 72
3^2 + 4^3 + 0^4 = 73
3^2 + 4^3 + 1^4 = 74
4^2 + 3^3 + 2^5 = 75
7^2 + 3^3 + 0^4 = 76
7^2 + 3^3 + 1^4 = 77
9^2 + 5^3 + -2^7 = 78
6^2 + 3^3 + 2^4 = 79
0^2 + 4^3 + 2^4 = 80
0^2 + 0^3 + 3^4 = 81
0^2 + 1^3 + 3^4 = 82
1^2 + 1^3 + 3^4 = 83
2^2 + 4^3 + 2^4 = 84
2^2 + 0^3 + 3^4 = 85
2^2 + 1^3 + 3^4 = 86
14^2 + -5^3 + 2^4 = 87
8^2 + 2^3 + 2^4 = 88
0^2 + 2^3 + 3^4 = 89
1^2 + 2^3 + 3^4 = 90
3^2 + 1^3 + 3^4 = 91
7^2 + 3^3 + 2^4 = 92
2^2 + 2^3 + 3^4 = 93
11^2 + -3^3 + 0^4 = 94
6^2 + 3^3 + 2^5 = 95
4^2 + 4^3 + 2^4 = 96
4^2 + 0^3 + 3^4 = 97
3^2 + 2^3 + 3^4 = 98
10^2 + -1^3 + 0^4 = 99
6^2 + 4^3 + 0^4 = 100
Frank Rubin May 14, 2003