推 cuttlefish:m=(x+y)(x^2-xy+y^2) 分x+y=1 或 x^2-xy+y^2=1 兩情形 02/02 15:51
→ demonhell:感謝!! 我一直在3u^2+3u+1兜圈子...真是蠢了 02/02 15:54
m is prime
x^3 + y^3 = m has no solutions in integer unless
m = 2 or m = 3u^2 + 3u + 1 for some integer u
他的意思是當m = 2 或是 m = 3u^2 + 3u + 1這種形式的質數
這個curve才會有整數解
可是不知道該從哪邊下手證明
希望有人能給點提示
感謝!!
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◆ From: 140.113.22.70
※ 編輯: demonhell 來自: 140.113.22.70 (02/02 15:34)