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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
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.
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Apr 28 2012
STATUS
approved