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Let ... be the number of primes up to ... . The prime number theorem states that ... and implies that ... , where ... is the ... prime. Rosser proved that ... for all ... . Rosser's theorem was extended to ... ... , for all ... . The curves plotted are ... (blue), ... (khaki), and ... (brown).

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      EUN,LOM,LRE4,work-cmr-id:262132,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/ExtendingRossersTheorem/,ilox,learning resource exchange,LRE metadata application profile,LRE

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