Show that the numbers of form 4m and 4m+2 can not be co-prime
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4m = 2(2m)
4m + 2 = 2(2m+1)
they have 2 as a common factor so they are not co primes.
4m + 2 = 2(2m+1)
they have 2 as a common factor so they are not co primes.
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