Number Theory

   

Existence Of Prime Numbers In Subsets Of The Oppermann's Intervals

Authors: ANIRILASY Méleste

We suggest that there exists, at least, one prime number in four intervals between n² and (n+1)² for any integer n 2 such that : all intervals are half-open; the excluded endpoints are multiples of n; the number of elements in each interval is equal to the least even upper bound for the biggest prime number strictly less than n. This conjecture is a strong form of Oppermann’s one.

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[v1] 2018-02-17 10:38:14

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