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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 arbitrary 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

Table of n, a(n) for n=1..83.

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 September 23 15:54 EDT 2017. Contains 292361 sequences.