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 2022-09-23, 10:10 #1 enzocreti   Mar 2018 72·11 Posts 1666667*2 mod 666667 how do you see that -1666667x2=1 mod 666667? I simply tried but is there a method to "see" it?
2022-09-23, 14:22   #2
slandrum

Jan 2021
California

11×47 Posts

Quote:
 Originally Posted by enzocreti how do you see that -1666667x2=1 mod 666667? I simply tried but is there a method to "see" it?
-1666667 = -333333 mod 666667 = 333334 mod 666667

is there more that you need to see?

 2022-09-23, 17:39 #3 Dr Sardonicus     Feb 2017 Nowhere 3·19·109 Posts A little algebra may help: 1666667 = (10^7 + 2)/6 666667 = (2*10^6 +1)/3 2*(10^7 + 2)/6 = (10^7 + 2)/3 (10^7 + 2)/3 = 5*(2*10^6 + 1)/3 - 1 2*(10^7 + 2)/6 == 1 mod (2*10^6 + 2)/3

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