A133555 - OEIS

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A133555

Order of A113709(n) among composite positive integers.

1, 2, 3, 6, 9, 10, 11, 14, 19, 24, 27, 28, 29, 32, 37, 42, 47, 48, 51, 56, 57, 60, 71, 74, 75, 76, 79, 82, 95, 96, 99, 104, 105, 114, 119, 124, 125, 128, 133, 138, 147, 148, 151, 152, 157, 168, 175, 178, 181, 182, 187, 196, 197, 202, 207, 212, 217, 220, 221, 228, 231 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`2,2`
	LINKS	`Table of n, a(n) for n=2..62.`
	FORMULA	`a(n) = A066246(A133709(n)) . - R. J. Mathar, Jan 12 2008`
	EXAMPLE	`The 10th prime - the 9th prime = 29-23 = 6. The integer between 23 and 29 that is divisible by 6 is 24. 24 is the 14th composite, so a(9) = 14.`
	MAPLE	`A113709 := proc(n) local d, a ; d := ithprime(n+1)-ithprime(n) ; for a from ithprime(n)+1 do if a mod d = 0 then RETURN(a) ; fi ; od: end: A066246 := proc(n) local a, i; if n = 1 or isprime(n) then 0 ; else a := 0 ; for i from 4 to n do if not isprime(i) then a := a+1 ; fi ; od: RETURN(a) ; fi ; end: A133555 := proc(n) A066246(A113709(n)) ; end: seq(A133555(n), n=2..80) ; - R. J. Mathar, Jan 12 2008`
	CROSSREFS	`Cf. A113709.` `Sequence in context: A061910 A007086 A047404 * A032938 A188323 A090892` `Adjacent sequences: A133552 A133553 A133554 * A133556 A133557 A133558`
	KEYWORD	`nonn`
	AUTHOR	`Leroy Quet Dec 25 2007`
	EXTENSIONS	`More terms from R. J. Mathar, Jan 12 2008`
	STATUS	`approved`

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Last modified May 22 17:09 EDT 2013. Contains 225556 sequences.