Re-extending Chebyshev’s theorem about Bertrand’s conjecture

• Published in: Український математичний журнал
• Date: 2007
• ISSN: 1027-3190
• Main Author: Shams, Armіn
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/172524
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Re-extending Chebyshev’s theorem about Bertrand’s conjecture / Armіn Shams // Український математичний журнал. — 2007. — Т. 59, № 12. — С. 1701–1706. — Бібліогр.: 6 назв. — англ.

In this paper, Chebyshev’s theorem (1850) about Bertrand’s conjecture is re-extended using a theorem about Sierpinski’s conjecture (1958). The theorem had been extended before several times, but this extension is a major extension far beyond the previous ones. At the beginning of the proof, maximal...