+166 For a certain positive integer m the equation
has 137 solutions in integers n Find m.
Floor(137 / 2) =68
m = 68.
69^2 - 68^2 =137
4,761 - 137 =4,624, so:
n=4,624
n=4624; c=0; a=floor(sqrt(4624));printc," - ", n," ", a;c=c+1;n++;if(n<4761, goto2, discard=0;
floor
sqrt
N n m
0 - 4624 68
1 - 4625 68
2 - 4626 68
3 - 4627 68
4 - 4628 68
5 - 4629 68
6 - 4630 68
7 - 4631 68
8 - 4632 68
9 - 4633 68
10 - 4634 68
11 - 4635 68
12 - 4636 68
13 - 4637 68
14 - 4638 68
15 - 4639 68
16 - 4640 68
17 - 4641 68
18 - 4642 68
19 - 4643 68
20 - 4644 68
21 - 4645 68
22 - 4646 68
23 - 4647 68
24 - 4648 68
25 - 4649 68
26 - 4650 68
27 - 4651 68
28 - 4652 68
29 - 4653 68
30 - 4654 68
31 - 4655 68
32 - 4656 68
33 - 4657 68
34 - 4658 68
35 - 4659 68
36 - 4660 68
37 - 4661 68
38 - 4662 68
39 - 4663 68
40 - 4664 68
41 - 4665 68
42 - 4666 68
43 - 4667 68
44 - 4668 68
45 - 4669 68
46 - 4670 68
47 - 4671 68
48 - 4672 68
49 - 4673 68
50 - 4674 68
51 - 4675 68
52 - 4676 68
53 - 4677 68
54 - 4678 68
55 - 4679 68
56 - 4680 68
57 - 4681 68
58 - 4682 68
59 - 4683 68
60 - 4684 68
61 - 4685 68
62 - 4686 68
63 - 4687 68
64 - 4688 68
65 - 4689 68
66 - 4690 68
67 - 4691 68
68 - 4692 68
69 - 4693 68
70 - 4694 68
71 - 4695 68
72 - 4696 68
73 - 4697 68
74 - 4698 68
75 - 4699 68
76 - 4700 68
77 - 4701 68
78 - 4702 68
79 - 4703 68
80 - 4704 68
81 - 4705 68
82 - 4706 68
83 - 4707 68
84 - 4708 68
85 - 4709 68
86 - 4710 68
87 - 4711 68
88 - 4712 68
89 - 4713 68
90 - 4714 68
91 - 4715 68
92 - 4716 68
93 - 4717 68
94 - 4718 68
95 - 4719 68
96 - 4720 68
97 - 4721 68
98 - 4722 68
99 - 4723 68
100 - 4724 68
101 - 4725 68
102 - 4726 68
103 - 4727 68
104 - 4728 68
105 - 4729 68
106 - 4730 68
107 - 4731 68
108 - 4732 68
109 - 4733 68
110 - 4734 68
111 - 4735 68
112 - 4736 68
113 - 4737 68
114 - 4738 68
115 - 4739 68
116 - 4740 68
117 - 4741 68
118 - 4742 68
119 - 4743 68
120 - 4744 68
121 - 4745 68
122 - 4746 68
123 - 4747 68
124 - 4748 68
125 - 4749 68
126 - 4750 68
127 - 4751 68
128 - 4752 68
129 - 4753 68
130 - 4754 68
131 - 4755 68
132 - 4756 68
133 - 4757 68
134 - 4758 68
135 - 4759 68
136 - 4760 68
