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判定梅森质数的卢卡斯序列

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 楼主| 发表于 2024-2-12 15:54 | 显示全部楼层
蔡氏完全循环节问题

若 \(2*10^n - 51\) 是素数,则 10 是这个素数的原根


谢谢树新蜂老师提供100000以内的 n={2, 3, 4, 8, 11, 13, 17, 28, 56, 105, 231, 339, 643, 922, 1219, 1880, 2209, 4238, 4987, 14770, 56194, 67043, 96867}
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发表于 2024-2-19 15:49 | 显示全部楼层
刚发现的秘密公式:北京时间-8=论坛时间,论坛时间+8=北京时间,近似值而已。
比如,现在是15:54
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发表于 2024-3-5 12:58 | 显示全部楼层
蔡家雄 发表于 2024-3-5 07:48
求:\(a^3+b^3+c^3+abc=d^3\)

0<a<b<c<500:

{{1,6,9,10},{1,35,125,126},{1,159,193,224},{2,12,18,20},{2,70,250,252},{2,318,386,448},{3,18,27,30},{3,105,375,378},{4,24,36,40},{4,140,500,504},{5,30,45,50},{6,36,54,60},{7,42,63,70},{7,89,315,318},{8,48,72,80},{9,54,81,90},{10,60,90,100},{11,66,99,110},{11,261,328,378},{12,72,108,120},{13,78,117,130},{14,84,126,140},{15,33,97,100},{15,49,357,358},{15,90,135,150},{16,96,144,160},{17,102,153,170},{18,108,162,180},{19,114,171,190},{19,162,246,271},{19,339,477,532},{20,120,180,200},{21,126,189,210},{21,162,460,469},{22,30,87,91},{22,132,198,220},{23,138,207,230},{24,144,216,240},{25,103,197,210},{25,122,197,216},{25,150,225,250},{26,85,169,180},{26,156,234,260},{27,162,243,270},{28,168,252,280},{29,174,261,290},{30,66,194,200},{30,180,270,300},{31,186,279,310},{32,192,288,320},{33,67,117,130},{33,198,297,330},{34,162,245,273},{34,204,306,340},{35,210,315,350},{36,216,324,360},{37,222,333,370},{38,228,342,380},{38,324,492,542},{39,234,351,390},{40,240,360,400},{41,246,369,410},{42,252,378,420},{43,258,387,430},{44,60,174,182},{44,264,396,440},{45,99,291,300},{45,270,405,450},{46,276,414,460},{47,282,423,470},{48,288,432,480},{49,294,441,490},{50,158,255,283},{50,206,394,420},{50,244,394,432},{50,300,450,500},{51,196,378,403},{51,306,459,510},{51,336,350,443},{52,170,338,360},{52,312,468,520},{53,318,477,530},{54,324,486,540},{55,330,495,550},{57,85,138,160},{60,132,388,400},{61,187,256,298},{65,335,419,494},{66,90,261,273},{66,134,234,260},{67,97,241,256},{68,324,490,546},{73,120,159,196},{74,105,357,368},{75,165,485,500},{84,103,168,199},{85,90,177,202},{87,198,428,455},{88,120,348,364},{93,171,365,392},{97,99,135,178},{99,137,220,258},{99,201,351,390},{99,229,435,472},{110,150,435,455},{111,140,462,479},{114,170,276,320},{117,198,493,520},{119,253,409,462},{123,220,454,491},{132,268,468,520},{134,194,482,512},{137,292,323,420},{146,240,318,392},{146,242,287,371},{168,206,336,398},{170,180,354,404},{171,255,414,480},{184,200,341,405},{194,198,270,356},{198,274,440,516},{211,377,407,546},{216,225,359,440},{219,360,477,588},{257,293,319,462},{291,297,405,534},{305,444,491,670}}

评分

参与人数 1威望 +10 收起 理由
cz1 + 10 赞一个!

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发表于 2024-3-10 20:54 | 显示全部楼层
蔡家雄 发表于 2024-2-12 15:54
蔡氏完全循环节问题

若 \(2*10^n - 51\) 是素数,则 10 是这个素数的原根。

循环节,长循环。

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参与人数 3威望 +50 收起 理由
王守恩 + 20 赞一个!
cz1 + 10 赞一个!
wlc1 + 20 赞一个!

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 楼主| 发表于 2024-4-22 19:57 | 显示全部楼层
求:\(x^{26}+y^{34}=z^{30}\)
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