Cramér's conjecture

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English

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Cramér's conjecture

Etymology

Formulated by the Swedish mathematician Harald Cramér in 1936.

Proper noun

Cramér 's conjecture

(number theory) An estimate for the size of gaps between consecutive prime numbers, stating that $p_{n+1}-p_{n}=O((\log p_{n})^{2})$ , where p_n denotes the nth prime number, O is big O notation, and log is the natural logarithm.

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