Primes in the Interval [ 2 n , 3
نویسنده
چکیده
Is it true that for all integer n > 1 and k ≤ n there exists a prime number in the interval [kn, (k + 1)n]? The case k = 1 is the Bertrand’s postulate which was proved for the first time by P. L. Chebyshev in 1850, and simplified later by P. Erdős in 1932, see [2]. The present paper deals with the case k = 2. A positive answer to the problem for any k ≤ n implies a positive answer to the old problem whether there is always a prime in the interval [n, n + n], see [1, p. 11].
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