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Report on Zhi-Wei Sun's 1-3-5 Conjecture and Some of Its Refinements
Journal of Number Theory ( IF 0.6 ) Pub Date : 2021-01-12 , DOI: 10.1016/j.jnt.2021.01.001 António Machiavelo , Rogério Reis , Nikolaos Tsopanidis
中文翻译:
孙志伟的1-3-5猜想及其改进报告
更新日期:2021-01-12
Journal of Number Theory ( IF 0.6 ) Pub Date : 2021-01-12 , DOI: 10.1016/j.jnt.2021.01.001 António Machiavelo , Rogério Reis , Nikolaos Tsopanidis
We report here on the computational verification of Zhi-Wei Sun's “1-3-5 conjecture” for all natural numbers up to . This, together with a result of two of the authors, completes the proof of that conjecture. Furthermore the computations made in the verification process of the 1-3-5 conjecture revealed a refinement of it, which we state as a separate conjecture at the end of the paper.
中文翻译:
孙志伟的1-3-5猜想及其改进报告
我们在此报告孙志伟的“ 1-3-5猜想”对所有自然数直至 。这与两位作者的结果一起,证明了这一推测。此外,在1-3-5猜想的验证过程中进行的计算显示出它的改进,在本文结尾处我们将其表示为单独的猜想。