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arxiv: 1406.5661 · v1 · pith:PRCJP5ZCnew · submitted 2014-06-22 · 🧮 math.NT

Figurate primes and Hilbert's 8th problem

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keywords primesconjecturefiguratehilbertproblemrelatedseveralcatalan
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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 related with figurate primes and Hilbert's 8th problem, including Goldbach's conjecture, twin primes conjecture and Catalan's conjecture as well.

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