Show that PRIMES = {m| m is a prime number in binary}NP. For p > 1, the
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Show that PRIMES = {m| m is a prime number in binary} ∈ NP. For p > 1, the multiplicative group Z*p = {x| x is relatively prime to p and 1 ≤ x < p} is both cyclic and of order p − 1 if f p is prime. You may use this fact without justifying it. The stronger statement PRIMES ∈ P is now known to be true, but it is more difficult to prove.
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