id:A114331 - OEIS Search Results

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Observe that A052248(n) = greatest prime divisor q (say) of all composite numbers between p = prime(n) and next prime. There is only one composite number in this range which is divisible by q. Sequence lists these composite numbers.

+0
3

4, 6, 10, 12, 14, 18, 22, 26, 30, 34, 38, 42, 46, 51, 58, 60, 62, 69, 72, 74, 82, 86, 94, 99, 102, 106, 108, 111, 122, 129, 134, 138, 146, 150, 155, 158, 166, 172, 178, 180, 183, 192, 194, 198, 206, 218, 226, 228, 232, 237, 240, 249, 254, 262, 267, 270 (list; graph; listen)

	OFFSET	`2,1`
	COMMENT	`The uniqueness follows from generalization of Bertrand's Postulate. - Franklin T. Adams-Watters.`
	LINKS	`Leroy Quet, Home Page (listed in lieu of email address)` `Eric Weisstein's World of Mathematics, Bertrand's Postulate`
	CROSSREFS	`Cf. A052248, A114349.` `Sequence in context: A120351 A137230 A134333 this_sequence A102070 A026402 A036438` `Adjacent sequences: A114328 A114329 A114330 this_sequence A114332 A114333 A114334`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), based on correspondence from Leroy Quet and Hugo Pfoertner, Feb 22 2006`

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.

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