1的2006次方+2的2006次方+3的2006次方+4的2006次方+5的2006次方+6的2006次方+7的2006次方+8的2006次方+9的2006次方=?小學 回應 bubupin Re: 2006次方 2007-08-29 12:08 我認為小學生的程度只要問總和的個位數字等於多少即可. 1^2006+2^2006+3^2006+4^2006+5^2006+6^2006+7^2006+8^2006+9^2006 =1+(....4)+(....9)+(....6)+(....5)+(....6)+(....9)+(....4)+(....1) =........5 故其總和的個位數字為5 如果要算出結果,其總和應該是 162,3580,9063,6526,4193,5945,5412,7660,5280,2815, 2511,3658,8716,5344,7191,7108,2887,7841,3123,8093, 0572,1259,3982,1533,4164,2962,1112,4222,9624,4258, 0021,5404,9427,8118,8581,1562,4955,4510,8079,7007, 4737,5465,3053,7466,0725,7048,9111,4408,4179,2503, 2168,5886,4676,4213,4578,3621,2128,9186,9062,4484, 0889,6010,1551,0232,6568,6664,2760,6444,8163,2791, 3465,5032,5502,9443,0199,8448,1534,2694,4824,0094, 2988,4022,2183,8656,1497,4827,2199,0154,6995,3271, 6199,2395,2064,6472,2964,8802,3047,9086,8151,4755, 7038,9583,3559,1260,2592,2416,0643,7559,2596,2281, 8739,7829,6264,3422,7136,7889,6454,9762,1387,0808, 9334,1597,9414,5570,5171,4265,5095,7410,7828,7581, 8355,2390,4386,1905,9233,6247,1170,0332,0907,4986, 1039,6944,4935,9695,3251,1174,3288,7835,9794,4028, 5695,3321,2601,7038,7148,7424,9839,1897,8497,3405, 2411,6291,6502,0125,3917,7404,7007,2818,8821,7976, 5083,8169,5262,9400,6536,5617,7344,1641,6442,4526, 2111,9176,1553,5849,7021,8075,4506,3271,4394,1897, 3265,0103,7808,1131,2752,1520,6481,2032,2273,6169, 9835,6393,4169,2373,7953,9717,8160,2045,5498,1591, 1085,2091,0882,8566,0225,0506,6010,9171,7442,0432, 2687,9008,9540,3597,5591,6330,1942,2342,4130,7524, 9793,8710,6423,2522,3625,4905,1030,8773,3066,9746, 9013,1955,2962,5832,7573,6137,6527,4278,6533,9073, 1756,8740,2559,2159,4565,5025,9335,9643,6338,9488, 7158,9726,9048,0646,0219,3899,9071,4368,7582,6500, 4055,1642,6278,8284,2924,7371,2391,3536,0312,5454, 6628,5367,7790,3586,2317,2874,8426,0267,0400,9683, 1278,4499,6850,1673,5439,5467,2410,1223,9963,6549, 1109,7323,2209,9845,2706,9702,0655,1596,6433,3535, 1420,7893,7011,4279,5434,5164,8562,7652,2671,7876, 3641,9095,9510,2297,8448,0661,6090,7038,1438,8063, 2322,6156,5638,6946,7017,0264,4993,6000,5119,5455, 4387,9388,0950,3718,9225,7004,2537,7561,1028,9333, 7575,5975,0801,5512,7068,6196,0114,3898,3729,5244, 7476,9279,2986,3427,5198,4960,9842,8756,5781,9855, 7925,9514,0682,3109,2155,3159,0936,6260,9843,0077, 3984,8026,4275,5957,6154,8735,5945,2670,5167,6139, 7175,3722,7547,3004,4872,6108,8344,9189,6527,8746, 4934,4529,3519,7125,9033,3002,4376,4338,6524,0622, 1321,9793,7719,5380,8449,3082,6641,9380,5041,9061, 0366,3096,6163,4297,3169,8446,8852,7342,7706,0852, 7629,4911,4842,8699,5432,6335,1846,5261,0823,0714, 0749,5214,0525,8142,1919,5194,8335,5588,5814,7282, 5988,1088,4889,0710,7168,8360,2174,0751,1288,2009, 6963,4697,6015,1756,0842,0876,7904,6610,8286,1878, 1597,4255,6876,6465,6181,4733,4013,6873,8405 learing Re: 2006次方 2007-09-01 15:37 Thank you 841206math Re: 2006次方 2007-12-17 22:19 這麼長，你怎麼算的啊？？ 居然有1915位數！！ bubupin Re: 2006次方 2007-12-17 22:33 用程式運算，運用陣列，每四位數為一陣列元素，用乘法和加法基本運算原理，並採萬位以上進位 不用兩分鐘就可以得到答案，當然也可以每八位數或十二位數進位，可縮短陣列數目，加速得到結果 841206math Re: 2006次方 2007-12-18 22:23 太神奇了！！！ sunnyfat Re: 2006次方 2009-08-28 23:39 用哪種程式運算，拜託告訴我。 justpoppingin Re: 2006次方(此篇已廢) 2009-09-03 21:57 強強強!請問您家裡是有台超級電腦嗎? justpoppingin Re: 2006次方 2009-09-03 21:57 引用： bubupin 寫道: 我認為小學生的程度只要問總和的個位數字等於多少即可. 1^2006+2^2006+3^2006+4^2006+5^2006+6^2006+7^2006+8^2006+9^2006 =1+(....4)+(....9)+(....6)+(....5)+(....6)+(....9)+(....4)+(....1) =........5 故其總和的個位數字為5 如果要算出結果,其總和應該是 162,3580,9063,6526,4193,5945,5412,7660,5280,2815, 2511,3658,8716,5344,7191,7108,2887,7841,3123,8093, 0572,1259,3982,1533,4164,2962,1112,4222,9624,4258, 0021,5404,9427,8118,8581,1562,4955,4510,8079,7007, 4737,5465,3053,7466,0725,7048,9111,4408,4179,2503, 2168,5886,4676,4213,4578,3621,2128,9186,9062,4484, 0889,6010,1551,0232,6568,6664,2760,6444,8163,2791, 3465,5032,5502,9443,0199,8448,1534,2694,4824,0094, 2988,4022,2183,8656,1497,4827,2199,0154,6995,3271, 6199,2395,2064,6472,2964,8802,3047,9086,8151,4755, 7038,9583,3559,1260,2592,2416,0643,7559,2596,2281, 8739,7829,6264,3422,7136,7889,6454,9762,1387,0808, 9334,1597,9414,5570,5171,4265,5095,7410,7828,7581, 8355,2390,4386,1905,9233,6247,1170,0332,0907,4986, 1039,6944,4935,9695,3251,1174,3288,7835,9794,4028, 5695,3321,2601,7038,7148,7424,9839,1897,8497,3405, 2411,6291,6502,0125,3917,7404,7007,2818,8821,7976, 5083,8169,5262,9400,6536,5617,7344,1641,6442,4526, 2111,9176,1553,5849,7021,8075,4506,3271,4394,1897, 3265,0103,7808,1131,2752,1520,6481,2032,2273,6169, 9835,6393,4169,2373,7953,9717,8160,2045,5498,1591, 1085,2091,0882,8566,0225,0506,6010,9171,7442,0432, 2687,9008,9540,3597,5591,6330,1942,2342,4130,7524, 9793,8710,6423,2522,3625,4905,1030,8773,3066,9746, 9013,1955,2962,5832,7573,6137,6527,4278,6533,9073, 1756,8740,2559,2159,4565,5025,9335,9643,6338,9488, 7158,9726,9048,0646,0219,3899,9071,4368,7582,6500, 4055,1642,6278,8284,2924,7371,2391,3536,0312,5454, 6628,5367,7790,3586,2317,2874,8426,0267,0400,9683, 1278,4499,6850,1673,5439,5467,2410,1223,9963,6549, 1109,7323,2209,9845,2706,9702,0655,1596,6433,3535, 1420,7893,7011,4279,5434,5164,8562,7652,2671,7876, 3641,9095,9510,2297,8448,0661,6090,7038,1438,8063, 2322,6156,5638,6946,7017,0264,4993,6000,5119,5455, 4387,9388,0950,3718,9225,7004,2537,7561,1028,9333, 7575,5975,0801,5512,7068,6196,0114,3898,3729,5244, 7476,9279,2986,3427,5198,4960,9842,8756,5781,9855, 7925,9514,0682,3109,2155,3159,0936,6260,9843,0077, 3984,8026,4275,5957,6154,8735,5945,2670,5167,6139, 7175,3722,7547,3004,4872,6108,8344,9189,6527,8746, 4934,4529,3519,7125,9033,3002,4376,4338,6524,0622, 1321,9793,7719,5380,8449,3082,6641,9380,5041,9061, 0366,3096,6163,4297,3169,8446,8852,7342,7706,0852, 7629,4911,4842,8699,5432,6335,1846,5261,0823,0714, 0749,5214,0525,8142,1919,5194,8335,5588,5814,7282, 5988,1088,4889,0710,7168,8360,2174,0751,1288,2009, 6963,4697,6015,1756,0842,0876,7904,6610,8286,1878, 1597,4255,6876,6465,6181,4733,4013,6873,8405 強強強！請問家裡是有台超級電腦嗎？ myfund168 Re: 2006次方 2009-09-03 23:02 用程式運算，運用陣列，每四位數為一陣列元素，用乘法和加法基本運算原理，並採萬位以上進位 ---------------------------------------------------------------- 這跟電腦好壞沒什麼關係，我的爛電腦也可以；但是我只會用Excel算，單單函數設計，就花了好久時間！ 電腦運算倒不需幾秒。 核對過：真的前面跟後面十幾位都正確！ 我也很想學會程式設計，跟陣列運用。 a3090016 Re: 2006次方 2009-10-03 12:43 我聽的很模糊~可以再說一次嗎?
bubupin Re: 2006次方 2007-08-29 12:08 我認為小學生的程度只要問總和的個位數字等於多少即可. 1^2006+2^2006+3^2006+4^2006+5^2006+6^2006+7^2006+8^2006+9^2006 =1+(....4)+(....9)+(....6)+(....5)+(....6)+(....9)+(....4)+(....1) =........5 故其總和的個位數字為5 如果要算出結果,其總和應該是 162,3580,9063,6526,4193,5945,5412,7660,5280,2815, 2511,3658,8716,5344,7191,7108,2887,7841,3123,8093, 0572,1259,3982,1533,4164,2962,1112,4222,9624,4258, 0021,5404,9427,8118,8581,1562,4955,4510,8079,7007, 4737,5465,3053,7466,0725,7048,9111,4408,4179,2503, 2168,5886,4676,4213,4578,3621,2128,9186,9062,4484, 0889,6010,1551,0232,6568,6664,2760,6444,8163,2791, 3465,5032,5502,9443,0199,8448,1534,2694,4824,0094, 2988,4022,2183,8656,1497,4827,2199,0154,6995,3271, 6199,2395,2064,6472,2964,8802,3047,9086,8151,4755, 7038,9583,3559,1260,2592,2416,0643,7559,2596,2281, 8739,7829,6264,3422,7136,7889,6454,9762,1387,0808, 9334,1597,9414,5570,5171,4265,5095,7410,7828,7581, 8355,2390,4386,1905,9233,6247,1170,0332,0907,4986, 1039,6944,4935,9695,3251,1174,3288,7835,9794,4028, 5695,3321,2601,7038,7148,7424,9839,1897,8497,3405, 2411,6291,6502,0125,3917,7404,7007,2818,8821,7976, 5083,8169,5262,9400,6536,5617,7344,1641,6442,4526, 2111,9176,1553,5849,7021,8075,4506,3271,4394,1897, 3265,0103,7808,1131,2752,1520,6481,2032,2273,6169, 9835,6393,4169,2373,7953,9717,8160,2045,5498,1591, 1085,2091,0882,8566,0225,0506,6010,9171,7442,0432, 2687,9008,9540,3597,5591,6330,1942,2342,4130,7524, 9793,8710,6423,2522,3625,4905,1030,8773,3066,9746, 9013,1955,2962,5832,7573,6137,6527,4278,6533,9073, 1756,8740,2559,2159,4565,5025,9335,9643,6338,9488, 7158,9726,9048,0646,0219,3899,9071,4368,7582,6500, 4055,1642,6278,8284,2924,7371,2391,3536,0312,5454, 6628,5367,7790,3586,2317,2874,8426,0267,0400,9683, 1278,4499,6850,1673,5439,5467,2410,1223,9963,6549, 1109,7323,2209,9845,2706,9702,0655,1596,6433,3535, 1420,7893,7011,4279,5434,5164,8562,7652,2671,7876, 3641,9095,9510,2297,8448,0661,6090,7038,1438,8063, 2322,6156,5638,6946,7017,0264,4993,6000,5119,5455, 4387,9388,0950,3718,9225,7004,2537,7561,1028,9333, 7575,5975,0801,5512,7068,6196,0114,3898,3729,5244, 7476,9279,2986,3427,5198,4960,9842,8756,5781,9855, 7925,9514,0682,3109,2155,3159,0936,6260,9843,0077, 3984,8026,4275,5957,6154,8735,5945,2670,5167,6139, 7175,3722,7547,3004,4872,6108,8344,9189,6527,8746, 4934,4529,3519,7125,9033,3002,4376,4338,6524,0622, 1321,9793,7719,5380,8449,3082,6641,9380,5041,9061, 0366,3096,6163,4297,3169,8446,8852,7342,7706,0852, 7629,4911,4842,8699,5432,6335,1846,5261,0823,0714, 0749,5214,0525,8142,1919,5194,8335,5588,5814,7282, 5988,1088,4889,0710,7168,8360,2174,0751,1288,2009, 6963,4697,6015,1756,0842,0876,7904,6610,8286,1878, 1597,4255,6876,6465,6181,4733,4013,6873,8405
bubupin Re: 2006次方 2007-12-17 22:33 用程式運算，運用陣列，每四位數為一陣列元素，用乘法和加法基本運算原理，並採萬位以上進位 不用兩分鐘就可以得到答案，當然也可以每八位數或十二位數進位，可縮短陣列數目，加速得到結果
justpoppingin Re: 2006次方 2009-09-03 21:57 引用： bubupin 寫道: 我認為小學生的程度只要問總和的個位數字等於多少即可. 1^2006+2^2006+3^2006+4^2006+5^2006+6^2006+7^2006+8^2006+9^2006 =1+(....4)+(....9)+(....6)+(....5)+(....6)+(....9)+(....4)+(....1) =........5 故其總和的個位數字為5 如果要算出結果,其總和應該是 162,3580,9063,6526,4193,5945,5412,7660,5280,2815, 2511,3658,8716,5344,7191,7108,2887,7841,3123,8093, 0572,1259,3982,1533,4164,2962,1112,4222,9624,4258, 0021,5404,9427,8118,8581,1562,4955,4510,8079,7007, 4737,5465,3053,7466,0725,7048,9111,4408,4179,2503, 2168,5886,4676,4213,4578,3621,2128,9186,9062,4484, 0889,6010,1551,0232,6568,6664,2760,6444,8163,2791, 3465,5032,5502,9443,0199,8448,1534,2694,4824,0094, 2988,4022,2183,8656,1497,4827,2199,0154,6995,3271, 6199,2395,2064,6472,2964,8802,3047,9086,8151,4755, 7038,9583,3559,1260,2592,2416,0643,7559,2596,2281, 8739,7829,6264,3422,7136,7889,6454,9762,1387,0808, 9334,1597,9414,5570,5171,4265,5095,7410,7828,7581, 8355,2390,4386,1905,9233,6247,1170,0332,0907,4986, 1039,6944,4935,9695,3251,1174,3288,7835,9794,4028, 5695,3321,2601,7038,7148,7424,9839,1897,8497,3405, 2411,6291,6502,0125,3917,7404,7007,2818,8821,7976, 5083,8169,5262,9400,6536,5617,7344,1641,6442,4526, 2111,9176,1553,5849,7021,8075,4506,3271,4394,1897, 3265,0103,7808,1131,2752,1520,6481,2032,2273,6169, 9835,6393,4169,2373,7953,9717,8160,2045,5498,1591, 1085,2091,0882,8566,0225,0506,6010,9171,7442,0432, 2687,9008,9540,3597,5591,6330,1942,2342,4130,7524, 9793,8710,6423,2522,3625,4905,1030,8773,3066,9746, 9013,1955,2962,5832,7573,6137,6527,4278,6533,9073, 1756,8740,2559,2159,4565,5025,9335,9643,6338,9488, 7158,9726,9048,0646,0219,3899,9071,4368,7582,6500, 4055,1642,6278,8284,2924,7371,2391,3536,0312,5454, 6628,5367,7790,3586,2317,2874,8426,0267,0400,9683, 1278,4499,6850,1673,5439,5467,2410,1223,9963,6549, 1109,7323,2209,9845,2706,9702,0655,1596,6433,3535, 1420,7893,7011,4279,5434,5164,8562,7652,2671,7876, 3641,9095,9510,2297,8448,0661,6090,7038,1438,8063, 2322,6156,5638,6946,7017,0264,4993,6000,5119,5455, 4387,9388,0950,3718,9225,7004,2537,7561,1028,9333, 7575,5975,0801,5512,7068,6196,0114,3898,3729,5244, 7476,9279,2986,3427,5198,4960,9842,8756,5781,9855, 7925,9514,0682,3109,2155,3159,0936,6260,9843,0077, 3984,8026,4275,5957,6154,8735,5945,2670,5167,6139, 7175,3722,7547,3004,4872,6108,8344,9189,6527,8746, 4934,4529,3519,7125,9033,3002,4376,4338,6524,0622, 1321,9793,7719,5380,8449,3082,6641,9380,5041,9061, 0366,3096,6163,4297,3169,8446,8852,7342,7706,0852, 7629,4911,4842,8699,5432,6335,1846,5261,0823,0714, 0749,5214,0525,8142,1919,5194,8335,5588,5814,7282, 5988,1088,4889,0710,7168,8360,2174,0751,1288,2009, 6963,4697,6015,1756,0842,0876,7904,6610,8286,1878, 1597,4255,6876,6465,6181,4733,4013,6873,8405 強強強！請問家裡是有台超級電腦嗎？
myfund168 Re: 2006次方 2009-09-03 23:02 用程式運算，運用陣列，每四位數為一陣列元素，用乘法和加法基本運算原理，並採萬位以上進位 ---------------------------------------------------------------- 這跟電腦好壞沒什麼關係，我的爛電腦也可以；但是我只會用Excel算，單單函數設計，就花了好久時間！ 電腦運算倒不需幾秒。 核對過：真的前面跟後面十幾位都正確！ 我也很想學會程式設計，跟陣列運用。
回應
bubupin
Re: 2006次方
2007-08-29 12:081^2006+2^2006+3^2006+4^2006+5^2006+6^2006+7^2006+8^2006+9^2006
=1+(....4)+(....9)+(....6)+(....5)+(....6)+(....9)+(....4)+(....1)
=........5
故其總和的個位數字為5
如果要算出結果,其總和應該是
162,3580,9063,6526,4193,5945,5412,7660,5280,2815,
2511,3658,8716,5344,7191,7108,2887,7841,3123,8093,
0572,1259,3982,1533,4164,2962,1112,4222,9624,4258,
0021,5404,9427,8118,8581,1562,4955,4510,8079,7007,
4737,5465,3053,7466,0725,7048,9111,4408,4179,2503,
2168,5886,4676,4213,4578,3621,2128,9186,9062,4484,
0889,6010,1551,0232,6568,6664,2760,6444,8163,2791,
3465,5032,5502,9443,0199,8448,1534,2694,4824,0094,
2988,4022,2183,8656,1497,4827,2199,0154,6995,3271,
6199,2395,2064,6472,2964,8802,3047,9086,8151,4755,
7038,9583,3559,1260,2592,2416,0643,7559,2596,2281,
8739,7829,6264,3422,7136,7889,6454,9762,1387,0808,
9334,1597,9414,5570,5171,4265,5095,7410,7828,7581,
8355,2390,4386,1905,9233,6247,1170,0332,0907,4986,
1039,6944,4935,9695,3251,1174,3288,7835,9794,4028,
5695,3321,2601,7038,7148,7424,9839,1897,8497,3405,
2411,6291,6502,0125,3917,7404,7007,2818,8821,7976,
5083,8169,5262,9400,6536,5617,7344,1641,6442,4526,
2111,9176,1553,5849,7021,8075,4506,3271,4394,1897,
3265,0103,7808,1131,2752,1520,6481,2032,2273,6169,
9835,6393,4169,2373,7953,9717,8160,2045,5498,1591,
1085,2091,0882,8566,0225,0506,6010,9171,7442,0432,
2687,9008,9540,3597,5591,6330,1942,2342,4130,7524,
9793,8710,6423,2522,3625,4905,1030,8773,3066,9746,
9013,1955,2962,5832,7573,6137,6527,4278,6533,9073,
1756,8740,2559,2159,4565,5025,9335,9643,6338,9488,
7158,9726,9048,0646,0219,3899,9071,4368,7582,6500,
4055,1642,6278,8284,2924,7371,2391,3536,0312,5454,
6628,5367,7790,3586,2317,2874,8426,0267,0400,9683,
1278,4499,6850,1673,5439,5467,2410,1223,9963,6549,
1109,7323,2209,9845,2706,9702,0655,1596,6433,3535,
1420,7893,7011,4279,5434,5164,8562,7652,2671,7876,
3641,9095,9510,2297,8448,0661,6090,7038,1438,8063,
2322,6156,5638,6946,7017,0264,4993,6000,5119,5455,
4387,9388,0950,3718,9225,7004,2537,7561,1028,9333,
7575,5975,0801,5512,7068,6196,0114,3898,3729,5244,
7476,9279,2986,3427,5198,4960,9842,8756,5781,9855,
7925,9514,0682,3109,2155,3159,0936,6260,9843,0077,
3984,8026,4275,5957,6154,8735,5945,2670,5167,6139,
7175,3722,7547,3004,4872,6108,8344,9189,6527,8746,
4934,4529,3519,7125,9033,3002,4376,4338,6524,0622,
1321,9793,7719,5380,8449,3082,6641,9380,5041,9061,
0366,3096,6163,4297,3169,8446,8852,7342,7706,0852,
7629,4911,4842,8699,5432,6335,1846,5261,0823,0714,
0749,5214,0525,8142,1919,5194,8335,5588,5814,7282,
5988,1088,4889,0710,7168,8360,2174,0751,1288,2009,
6963,4697,6015,1756,0842,0876,7904,6610,8286,1878,
1597,4255,6876,6465,6181,4733,4013,6873,8405
learing
Re: 2006次方
2007-09-01 15:37841206math
Re: 2006次方
2007-12-17 22:19居然有1915位數！！
bubupin
Re: 2006次方
2007-12-17 22:33不用兩分鐘就可以得到答案，當然也可以每八位數或十二位數進位，可縮短陣列數目，加速得到結果
841206math
Re: 2006次方
2007-12-18 22:23sunnyfat
Re: 2006次方
2009-08-28 23:39justpoppingin
Re: 2006次方(此篇已廢)
2009-09-03 21:57justpoppingin
Re: 2006次方
2009-09-03 21:57強強強！請問家裡是有台超級電腦嗎？
myfund168
Re: 2006次方
2009-09-03 23:02----------------------------------------------------------------
這跟電腦好壞沒什麼關係，我的爛電腦也可以；但是我只會用Excel算，單單函數設計，就花了好久時間！ 電腦運算倒不需幾秒。 核對過：真的前面跟後面十幾位都正確！
我也很想學會程式設計，跟陣列運用。
a3090016
Re: 2006次方
2009-10-03 12:43