\(a\)最多两个整数解，结论:\(2^k-1＝p\)
本帖最后由 太阳 于 2024-4-13 04:20 编辑已知:整数\(a＞0\)，\(c＞0\)，素数\(k＞0\)，\(p＞0\)，未知数\(a\)
方程\(\frac{a^2+3}{c}-2^k+1＝0\)，\(a\)最多两个整数解
结论:\(2^k-1＝p\) 已知:整数\(a＞0\)，\(c＞0\)，\(\frac{a^2+3}{c}＝2^k-1\)，素数\(k＞0\)，\(p＞0\)
方程\(\frac{a^2+3}{c}-2^k+1＝0\)，最多两个整数解
结论:\(2^k-1＝p\) 本帖最后由 yangchuanju 于 2024-4-13 09:21 编辑
别再到处兜售你的错误理论了吧——
(a^2+3)/(2^k-1)最多只有两个整数解吗？令k=3,5算算看——
a (a^2+3)/7 (a^2+3)/31
1 0.571428571 0.129032258
2 1 0.225806452
3 1.714285714 0.387096774
4 2.714285714 0.612903226
5 4 0.903225806
6 5.571428571 1.258064516
7 7.428571429 1.677419355
8 9.571428571 2.161290323
9 12 2.709677419
10 14.71428571 3.322580645
11 17.71428571 4
12 21 4.741935484
13 24.57142857 5.548387097
14 28.42857143 6.419354839
15 32.57142857 7.35483871
16 37 8.35483871
17 41.71428571 9.419354839
18 46.71428571 10.5483871
19 52 11.74193548
20 57.57142857 13
21 63.42857143 14.32258065
22 69.57142857 15.70967742
23 76 17.16129032
24 82.71428571 18.67741935
25 89.71428571 20.25806452
26 97 21.90322581
27 104.5714286 23.61290323
28 112.4285714 25.38709677
29 120.5714286 27.22580645
30 129 29.12903226
31 137.7142857 31.09677419
32 146.7142857 33.12903226
33 156 35.22580645
34 165.5714286 37.38709677
35 175.4285714 39.61290323
36 185.5714286 41.90322581
37 196 44.25806452
38 206.7142857 46.67741935
39 217.7142857 49.16129032
40 229 51.70967742
41 240.5714286 54.32258065
42 252.4285714 57
43 264.5714286 59.74193548
44 277 62.5483871
45 289.7142857 65.41935484
46 302.7142857 68.35483871
47 316 71.35483871
48 329.5714286 74.41935484
49 343.4285714 77.5483871
50 357.5714286 80.74193548
51 372 84
52 386.7142857 87.32258065
53 401.7142857 90.70967742
54 417 94.16129032
55 432.5714286 97.67741935
56 448.4285714 101.2580645
57 464.5714286 104.9032258
58 481 108.6129032
59 497.7142857 112.3870968
60 514.7142857 116.2258065
61 532 120.1290323
62 549.5714286 124.0967742
63 567.4285714 128.1290323
64 585.5714286 132.2258065
65 604 136.3870968
66 622.7142857 140.6129032
67 641.7142857 144.9032258
68 661 149.2580645
69 680.5714286 153.6774194
70 700.4285714 158.1612903
71 720.5714286 162.7096774
72 741 167.3225806
73 761.7142857 172
74 782.7142857 176.7419355
75 804 181.5483871
76 825.5714286 186.4193548
77 847.4285714 191.3548387
78 869.5714286 196.3548387
79 892 201.4193548
80 914.7142857 206.5483871
81 937.7142857 211.7419355
82 961 217
83 984.5714286 222.3225806
84 1008.428571 227.7096774
85 1032.571429 233.1612903
86 1057 238.6774194
87 1081.714286 244.2580645
88 1106.714286 249.9032258
89 1132 255.6129032
90 1157.571429 261.3870968
91 1183.428571 267.2258065
92 1209.571429 273.1290323
93 1236 279.0967742
94 1262.714286 285.1290323
95 1289.714286 291.2258065
96 1317 297.3870968
97 1344.571429 303.6129032
98 1372.428571 309.9032258
99 1400.571429 316.2580645
100 1429 322.6774194
最多两个整数解——不正确！
结论：整除就是素数——更不正确！ 十几天，太阳先生连续发布十几贴，一起顶起来，共大家欣赏！
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