id:A073679 - OEIS Search Results

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a(1) = 4, a(n+1) is the smallest composite number > a(n) such that all of the differences a(n+1)-a(n) are distinct primes.

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4, 6, 9, 14, 21, 32, 45, 62, 81, 104, 133, 164, 201, 242, 285, 332, 385, 444, 505, 572, 645, 716, 795, 878, 975, 1064, 1165, 1268, 1375, 1484, 1611, 1724, 1855, 1992, 2149, 2288, 2439, 2588, 2751, 2918, 3091, 3270, 3451, 3642, 3835, 4032, 4255, 4454, 4665 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`For the first 20 terms the differences are the first 19 primes in that order (from 2 to 67). But a(20) + 71 = 572 + 71 is a prime, so a(21) = 572 + 73.`
	EXAMPLE	`a(18) = 444 = a(17) + 59 = 385 + 59. All the primes <59 have already been used.`
	CROSSREFS	`Sequence in context: A084336 A094750 A057988 this_sequence A118689 A118692 A020706` `Adjacent sequences: A073676 A073677 A073678 this_sequence A073680 A073681 A073682`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 11 2002`
	EXTENSIONS	`More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 24 2003`

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Last modified December 19 21:04 EST 2009. Contains 171054 sequences.

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