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
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Apr 28 2012
STATUS
approved