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We consider exceptional sets in the Waring-Goldbach problem for fifth powers.For example,we prove that all but O(N131/132) integers satisfying the necessary local conditions can be represented as the sum of 11 fifth powers of primes,which improves the previous results due to A.V.Kumchev[Canad.J.Math.,2005,57: 298-327]and Z.X.Liu[Int.J.Number Theory,2012,8: 1247-1256].