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Let Nn be the integer whose decimal expansion consists of n consecutive ones. Prove that (Nn,Nm)...

Let Nn be the integer whose decimal expansion consists of n consecutive ones. Prove that (Nn,Nm) = N(n,m). Example: N3= 111 N6=111111. please prove by induction and using a general case
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Let Nn be the integer whose decimal expansion consists of n consecutive ones as in this...
Let Nn be the integer whose decimal expansion consists of n consecutive ones as in this exersice : let Nn be integer whose decimal expansion consists of n consecutive ones. for example, N2=11 AND N7=1,111,111. show that Nn|Nm if and only if n|m. show that (Nn,Nm)=N(n,m)
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