A082917 - OEIS

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A082917

Numbers n with property that n can be written in more ways as a sum of two odd primes than any smaller even number.

6, 10, 22, 34, 48, 60, 78, 84, 90, 114, 120, 168, 180, 210, 300, 330, 390, 420, 510, 630, 780, 840, 990, 1050, 1140, 1260, 1470, 1650, 1680, 1890, 2100, 2310, 2730, 3150, 3570, 3990, 4200, 4410, 4620, 5250, 5460, 6090, 6510, 6930, 7980, 8190, 9030, 9240 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,1`
	COMMENTS	`The terms up to 114 are identical with A001172. The record setting number of decompositions is given by A082918.` `It appears that every primorial number (A002110) greater that 30 is in this sequence. Sequence A116979 gives the number of decompositions for n equal to a primorial number. [From T. D. Noe, Mar 15 2010]`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..244`
	EXAMPLE	`a(1)=6=3+3. a(2)=10 because 10 is the smallest number that can be written in two ways: 10=3+7=5+5.`
	CROSSREFS	`Cf. A002375, A001172, A082918. A109679 is another version of the same sequence.` `Sequence in context: A102783 A157037 A189992 * A001172 A108605 A216049` `Adjacent sequences: A082914 A082915 A082916 * A082918 A082919 A082920`
	KEYWORD	`easy,nonn`
	AUTHOR	`Hugo Pfoertner, Apr 15 2003`
	STATUS	`approved`

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Last modified March 12 09:26 EDT 2014. Contains 238817 sequences.