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Find all n s.t. m<n, n<1978, (m, n)=1 implies m is prime.

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October 28, 2010
number theoryrelatively primenumber theory unsolved

Problem Statement

Find all natural numbers n<1978n < 1978 with the following property: If mm is a natural number, 1<m<n1 < m < n, and (m,n)=1(m, n) = 1 (i.e., mm and nn are relatively prime), then mm is a prime number.
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