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Let 2n = p + q where p and q are primes. Take the p and q that produce the smallest product, then set a(n) = p*q - 2n.

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0, 3, 7, 11, 23, 19, 23, 47, 31, 35, 71, 43, 87, 131, 55, 59, 119, 179, 71, 143, 79, 83, 167, 91, 183, 275, 103, 207, 311, 115, 119, 239, 359, 131, 263, 139, 143, 287, 431, 155, 311, 163, 327, 491, 175, 351, 527, 1403, 191, 383, 199, 203, 407, 211, 215, 431, 223, 447, 671 (list; graph; listen)

	OFFSET	`2,2`
	COMMENT	`Trying to translate the Goldbach conjecture into multiplication.`
	LINKS	`Isaac E. Lambert, Table of n, a(n) for n = 2..101`
	EXAMPLE	`For example, the 13th term of the sequence is 43 since 26 = 3 + 23 (and the product 69 is minimal), and 3*23 - 26 = 43.`
	CROSSREFS	`Sequence in context: A018345 A082675 A028831 this_sequence A111668 A112038 A097452` `Adjacent sequences: A137513 A137514 A137515 this_sequence A137517 A137518 A137519`
	KEYWORD	`nonn`
	AUTHOR	`Isaac E. Lambert (lamberti(AT)wlu.edu), Apr 23 2008`
	EXTENSIONS	`Edited by njas, May 23 2008`

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Last modified December 3 01:16 EST 2008. Contains 151161 sequences.

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