20200229, 17:59  #1 
Mar 2018
214_{16} Posts 
Does m necessarily be of the form 215s+129?
Let be N an integer congruent to 344 mod 559.
Let be N either of the form 1763s+215 or 1763s+344. Now consider N is congruent to m mod (41*43*13). Does m necessarily be a number of the form 215k+129? 
20200301, 02:02  #2  
"Sam"
Nov 2016
101001100_{2} Posts 
Quote:
N = {344 mod 559, 215 mod 1763} = 14319 mod 22919 N = {344 mod 559, 344 mod 1763} = 344 mod 22919 Now, 344 = 129 mod 215 14319 = 129 mod 215 So the answer to your question is yes. You should be able to do the computations yourself without any struggle they are quite easy. 

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