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 December 30th, 2008, 02:44 AM #1 Newbie   Joined: Dec 2008 Posts: 3 Thanks: 0 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...
 December 30th, 2008, 06:45 AM #2 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Re: Why 30 is the largest integer such that none of its....? I responded at physicsforums already. Look at the factorization of 30 and compare to the Sieve of Eratosthenes.

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