



 
We'll use a simpler problem of the same type for an example. Find the smallest number (>1) that when divided by 4 or by 6 gives the remainder 1. First experiment. Test every number INCLUDING 1 from (say) 1 to 30 to find out which ones work. (Yes, they said not to use 1. So don't tell them you did! Find out why they said not to.) Do you see a pattern? (Note that 13 is one answer, so it's not the very simplest pattern that might occur to you. Good Hunting!  


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