A236189 Differences between terms of compacting Eratosthenes sieve for prime(8) = 19.

4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 10, 6, 6, 6, 2, 6, 4, 2, 10, 14, 4, 2, 4, 14, 6, 10, 2, 4, 6, 2, 6, 6, 6, 4, 6, 8, 4, 8, 10, 2, 10, 2, 4, 2, 4, 6, 8

Offset

1,1

Comments

P(x) is a function which represents a prime number at a particular ordinal x. This pattern, dp(x), describes the difference between consecutive prime numbers as described by p(x) (see A236175) and therefore the length of dp(x) is len(p(x)) - 1 and each value in dp(x) times P(x) is the difference between values determined not primed when running one pass of a reductive sieve, starting at P(x)^2. See A236185.

Links

Christopher J. Hanson, Table of n, a(n) for n = 1..92159

Crossrefs

Cf. A236175-A236180, A236185-A236190.

Sequence in context: A225092 A029677 A045867 * A347910 A342875 A114403

Adjacent sequences: A236186 A236187 A236188 * A236190 A236191 A236192

Keyword

nonn

Author

Christopher J. Hanson, Jan 21 2014

Status

approved