OFFSET
1,1
COMMENTS
Conjecture: a(n)>0 for all n.
LINKS
Zak Seidov, Table of n, a(n) for n = 1..10000
V. Shevelev, Ramanujan and Labos Primes, Their Generalizations, and Classifications of Primes, Journal of Integer Sequences, Vol. 15 (2012), Article 12.5.4
J. Sondow, J. W. Nicholson, and T. D. Noe, Ramanujan Primes: Bounds, Runs, Twins, and Gaps, J. Integer Seq. 14 (2011) Article 11.6.2
EXAMPLE
The first pair of twin primes is (3,5). For k=1 and 2, we have the intervals (3,5) and (6,10), such that not the first but the second interval contains exactly one prime(7). Thus a(1)=2. For n=2 and k=1 to 4, we have the intervals (5,7),(10,14),(15,21), and (20,28) and only the last interval contains exactly one prime(23). Thus, a(2)=4.
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Shevelev, Oct 25 2012
EXTENSIONS
a(6) corrected and terms beyond a(11) contributed by Zak Seidov, Oct 25 2012
STATUS
approved