Why 30 is the largest integer such that none of its ?

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Why 30 is the largest integer such that none of its...?

Why 30 is the largest integer such that none of its totatives are composite?
which means All the coprime numbers that below 30 are primes..
30=> 7,11,13,17,19,23,29
?//
and if you have a proof that it is the biggest integer please Help me...
 
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HussamLawen said:
Why 30 is the largest integer such that none of its totatives are composite?
which means All the coprime numbers that below 30 are primes..
30=> 7,11,13,17,19,23,29
?//
and if you have a proof that it is the biggest integer please Help me...

Hi HussamLawen! Welcome to PF! :smile:

Hint: 30 = 2.3.5 …

60 doesn't work because … ? :wink:
 


tiny-tim said:
Hint: 30 = 2.3.5 …

60 doesn't work because … ? :wink:

And 210 doesn't work because... ?
 

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