Show that square of any positive integer of the form 5m+1 will leave a remainder 1 when divided by 5 for some integer m.
Show that square of any positive integer of the form 5m+1 will leave a remainder 1 when divided by 5 for some integer m.
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(5m+1)^2/5
=(25m^2+10m+1)/5
=(5m^2+2m)+1/5
This means (5m+1)^2 will have remainder 1 when divided by 5
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