A182405 Records of A164368(n) - A194598(n).

0, 8, 10, 24, 28, 34, 46, 52, 58, 66, 78, 80, 94, 96, 126, 134, 162, 166, 180, 208, 240, 258, 270

Offset

1,2

Comments

Theorem. If in the intervals {(A194598(n), A164368(n))} with lengths a(n)-1 the number of primes 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

Table of n, a(n) for n=1..23.

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, A182366, A182426.

Sequence in context: A303199 A097543 A088034 * A182366 A347194 A271313

Adjacent sequences: A182402 A182403 A182404 * A182406 A182407 A182408

Keyword

nonn

Author

Vladimir Shevelev, Apr 27 2012

Status

approved