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 A182423 Number of primes in interval (A194598(n), A164368(n)). 1
 0, 2, 0, 1, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 3, 0, 1, 0, 3, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Theorem. If the sequence is unbounded, then there exist arbitrarily long sequences of consecutive primes p_k, p_(k+1),...,p_m such that every interval (p_i/2, p_(i+1)/2), i=k,k+1,...,m-1, contains a prime. LINKS V. Shevelev, Ramanujan and Labos primes, their generalizations, and classifications of primes, J. Integer Seq. 15 (2012) Article 12.5.4. CROSSREFS Cf. A164368, A194598, A182405, A166251, A182426. Sequence in context: A050870 A103306 A269249 * A163510 A124735 A064874 Adjacent sequences: A182420 A182421 A182422 * A182424 A182425 A182426 KEYWORD nonn AUTHOR Vladimir Shevelev, Apr 28 2012 STATUS approved

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Last modified February 5 01:38 EST 2023. Contains 360082 sequences. (Running on oeis4.)