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中文摘要：
对2ipj＋1型素数进行了讨论，证明了关于素数原根的两个猜想，并进一步证明了当i≥3时，2不是2ipj＋1型素数的原根．
英文摘要：
Some properties of the primes of the form 2ipj ＋1 and their primitive roots were discussed. Two conjectures on prime＇s primitive roots were proved. It was also proved that 2 is not a primitive root for each prime of the form 2ipj ＋ 1 for i ≥3.
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Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann
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