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We prove here that any curve in the affine n-space over a field k of positive characteristic p is a set theoretic complete intersection. Szpiro proved that a curve which is a local complete intersection in affine 3-space is a set theoretic complete intersection. See, Ferrand [1], Szpiro [-2]. A consequence of Mohan Kumar's paper [3] is that any local complete intersection curve in any affine nspace is a set theoretic complete intersection. We here first prove the result in the complete local case and use that to prove the general result. [ (b) If S is the multiplicative set of nonzero divisors in A, then S-1A = S-1 B, i.e. SpecB~SpecA is birational isomorphism.Let C be the conductor of the inclusion of A in B. Then C is primary with respect to the unique maximal ideal of B, and therefore there is a positive integer N such that X~'" ~ C for 3-

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