id:A060698 - OEIS Search Results

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The sum of the first n composite numbers minus 1 is a prime.

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1, 3, 11, 15, 22, 39, 51, 57, 66, 67, 71, 79, 98, 105, 108, 109, 115, 118, 119, 125, 135, 150, 151, 152, 156, 160, 169, 200, 201, 205, 211, 223, 228, 241, 271, 281, 282, 291, 312, 315, 322, 331, 341, 350, 372, 382, 385, 395, 401, 420, 433, 461, 482, 498, 544 (list; graph; listen)

	OFFSET	`1,2`
	MATHEMATICA	`Composite[ n_Integer ] := (k = n + PrimePi[ n ] + 1; While[ k - PrimePi[ k ] - 1 != n, k++ ]; k); Select[ Range[ 1000 ], PrimeQ[ Sum[ Composite[ k ], {k, 1, #} ] - 1 ] & ]`
	CROSSREFS	`Sequence in context: A131323 A050592 A032466 this_sequence A046159 A022410 A039503` `Adjacent sequences: A060695 A060696 A060697 this_sequence A060699 A060700 A060701`
	KEYWORD	`nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 20 2001`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

AT&T Labs Research