login
Differences between terms of compacting Eratosthenes sieve for prime(7) = 17.
1

%I #11 Mar 13 2014 19:26:13

%S 2,4,6,2,6,4,2,4,6,6,2,6,4,2,6,4,6,8,4,2,4,2,4,14,4,6,2,10,2,6,6,4,6,

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

%U 2,4,6,2,6,6,6,4,6,2,6,4,8,10,2,10,2,4

%N Differences between terms of compacting Eratosthenes sieve for prime(7) = 17.

%C 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.

%H Christopher J. Hanson, <a href="/A236188/b236188.txt">Table of n, a(n) for n = 1..5759</a>

%Y Cf. A236175-A236180, A236185-A236190.

%K nonn

%O 1,1

%A _Christopher J. Hanson_, Jan 21 2014