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ming · 由 **ming** 於星期日四月 13, 2003 9:06 pm

如何証明21x-360y=1無正整數解?

Raceleader · 由 **Raceleader** 於星期日四月 13, 2003 9:08 pm

21x-360y=1
3(7x-120y)=1
7x-120y=1/3

If x,y are integer, then 7x-120y is also integer, contradict the above result
So, 21x-360y=1 does not have integral solution

Raceleader · 由 **Raceleader** 於星期日四月 13, 2003 9:08 pm

(21,360)=3≠1
So, it does not have integral solution.

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[問題]21x-360y=1

[問題]21x-360y=1