id:A060697 - OEIS Search Results

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

+0
1

1, 2, 3, 8, 10, 16, 21, 29, 34, 45, 49, 52, 84, 104, 114, 123, 130, 161, 165, 170, 181, 185, 192, 202, 216, 227, 228, 240, 245, 246, 265, 266, 271, 281, 287, 295, 301, 325, 331, 355, 390, 395, 400, 406, 410, 416, 429, 498, 502, 517, 522, 527, 529, 538, 539 (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	`Adjacent sequences: A060694 A060695 A060696 this_sequence A060698 A060699 A060700` `Sequence in context: A097053 A132327 A100317 this_sequence A093353 A083799 A098844`
	KEYWORD	`nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 20 2001`

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Last modified October 7 08:31 EDT 2008. Contains 144667 sequences.

AT&T Labs Research