Display title | Rosser's theorem |
Default sort key | Rosser's theorem |
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Page ID | 301537 |
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Page creator | imported>Len Stevenson |
Date of page creation | 18:06, 6 February 2024 |
Latest editor | imported>Len Stevenson |
Date of latest edit | 18:06, 6 February 2024 |
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Article description: (description ) This attribute controls the content of the description and og:description elements. | In number theory, Rosser's theorem states that the $ n $th prime number is greater than $ n\log n $, where $ \log $ is the natural logarithm function. It was published by J. Barkley Rosser in 1939.
Its full statement is:
Let $ p_{n} $ be the $ n $th prime number. Then for $ n\geq 1 $
$ p_{n}>n\log... |