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Because of an old quasar APM 08279+5255 at z=3.91, some dark energy models face the challenge of the cosmic age problem. It has been shown by Wei and Zhang H. Wei, S.N. Zhang, Phys. Rev. D 76 (2007) 063003, arXiv:0707.2129 [astro-ph] that the holographic dark energy model is also troubled with such a cosmic age problem. In order to accommodate this old quasar and solve the age problem, we propose in this Letter to consider the interacting holographic dark energy in a non-flat universe. We show that the cosmic age problem can be eliminated when the interaction and spatial curvature are both involved in the holographic dark energy model.
Cui et al. (Tue,) studied this question.