id:A137895 - OEIS Search Results

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Products of two or more consecutive numbers such that these products do not have prime gaps in their factorizations.

+0
3

2, 6, 12, 24, 30, 60, 72, 90, 120, 210, 240, 360, 420, 600, 720, 840, 1260, 1680, 2520, 3360, 5040, 6480, 6720, 9240, 15120, 15750, 20160, 30240, 40320, 50400, 55440, 60480, 117600, 147840, 151200, 166320, 181440, 194040, 240240, 291060, 332640 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Intersection of A045619 and A073491; A000142 is a subsequence apart from initial terms.`
	EXAMPLE	`a(10) = 210 = 2 * 3 * 5 * 7 = 5 * (5+1) * (5+2);` `a(11) = 240 = 2^4 * 3 * 5 = 15 * (15+1);` `a(12) = 360 = 2^3 * 3^2 * 5 = 3 * (3+1) * (3+2) * (3+3);` `a(13) = 420 = 2^2 * 3 * 5 * 7 = 20 * (20+1);` `a(14) = 600 = 2^3 * 3 * 5^2 = 24 * (24+1);` `a(15) = 720 = 2^4 * 3^2 * 5 = 6!.`
	CROSSREFS	`Sequence in context: A062476 A058868 A129314 this_sequence A099993 A011778 A067718` `Adjacent sequences: A137892 A137893 A137894 this_sequence A137896 A137897 A137898`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 20 2008`

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.

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