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math.NT2014★ 1 cited
Perfect Numbers and Fibonacci Primes (II)
Tianxin Cai, Liuquan Wang, Yong Zhang
In this paper, we study the diophantine equation . We prove that except for finitely many computable solutions, all the solutions to this equation with…
math.NT2014
Figurate primes and Hilbert's 8th problem
Tianxin Cai, Yong Zhang, Zhongyan Shen
In this paper, by using the theory of elliptic curves, we discuss several Diophantine equations related with the so-called figurate primes. Meanwhile, we raise several conjectures…