周长、面积相等的本原三角形

wayne

感觉这种是有成效的。就是针对单个的椭圆曲线就有大量的手工处理的过程，没法大量处理，效率很低。

northwolves

lsr314 发表于 2019-11-26 15:24
有五个的，周长是$7546$，面积是$2522520$：
${1901,2772,2873},{1914,2723,2909},{1925,2693,2928},{201 ...

有6个的，周长是$20026$，面积是$8410920：{2108,8493,9425},{2173,8398,9455},{2261,8277,9488},{2418,8075,9533},{4123,6205,9698},{4588,5729,9709}$

northwolves

周长在1-34500，暂搜到16组周长面积都是整数的五个解的组合：

{{2842,267960,{{464,1157,1221},{541,1025,1276},{596,957,1289},{701,841,1300},{725,816,1301}}},
{3542,318780,{{421,1518,1603},{511,1375,1656},{583,1288,1671},{759,1096,1687},{851,1001,1690}}},
{5642,406224,{{310,2639,2693},{325,2604,2713},{868,1989,2785},{1085,1768,2789},{1183,1669,2790}}},
{5750,1062600,{{915,2323,2512},{1060,2091,2599},{1104,2035,2611},{1335,1771,2644},{1489,1610,2651}}},
{6314,757680,{{533,2849,2932},{957,2296,3061},{1237,2002,3075},{1312,1925,3077},{1517,1717,3080}}},
{7238,1302840,{{819,3196,3223},{1034,2809,3395},{1351,2444,3443},{1363,2431,3444},{1645,2134,3459}}},
{7546,2522520,{{1901,2772,2873},{1914,2723,2909},{1925,2693,2928},{2018,2525,3003},{2213,2288,3045}}},
{9790,1233540,{{534,4625,4631},{583,4490,4717},{890,4103,4797},{1157,3815,4818},{1925,3026,4839}}},
{15470,8632260,{{2821,6154,6495},{2975,5813,6682},{3145,5551,6774},{3395,5224,6851},{4046,4495,6929}}},
{15778,9669660,{{3170,6279,6329},{3289,5887,6602},{3833,5106,6839},{4094,4809,6875},{4301,4589,6888}}},
{17710,124 32420,{{3850,6463,7397},{3887,6398,7425},{4025,6182,7503},{4760,5291,7659},{4968,5075,7667}}},
{21658,12994800,{{2989,8840,9829},{3329,8333,9996},{3332,8329,9997},{4704,6749,10205},{5304,6125,10229}}},
21970,14479920,{{3145,9217,9608},{3488,8537,9945},{4049,7800,10121},{4797,6953,10220},{4916,6825,10229}}},
{21970,14054040,{{3047,9225,9698},{3120,9041,9809},{3425,8528,10017},{3978,7817,10175},{4937,6750,10283}}},
{22610,19399380,{{4389,9061,9160},{4408,8925,9277},{4675,8302,9633},{5585,7106,9919},{5950,6707,9953}}},
{26962,22648080,{{4148,10933,11881},{4641,10121,12200},{5551,9001,12410},{5837,8681,12444},{6953,7503,12506}}}};