id:A074976 - OEIS Search Results

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Round(1/(sqrt(p(n+1))-sqrt(p(n))) where p(n) denotes the n-th prime.

+0
3

3, 2, 2, 1, 3, 2, 4, 2, 2, 5, 2, 3, 6, 3, 2, 2, 8, 3, 4, 8, 3, 4, 3, 2, 5, 10, 5, 10, 5, 2, 6, 4, 12, 2, 12, 4, 4, 6, 4, 4, 13, 3, 14, 7, 14, 2, 2, 7, 15, 8, 5, 15, 3, 5, 5, 5, 16, 6, 8, 17, 3, 2, 9, 18, 9, 3, 6, 4, 19, 9, 6, 5, 6, 6, 10, 7, 5, 10, 5, 4, 20, 4, 21, 7, 10, 7, 5, 11, 21, 11, 4, 5, 11, 6, 11 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`If Andrica's conjecture is true sequence is >=1.` `Since Andrica's conjecture is bounded below only by zero, a(n) is not bounded above.`
	LINKS	`Eric Weisstein's World of Mathematics, Andrica's conjecture`
	FORMULA	`Conjecture : for n>=4, a(n)>=2. More generally for any m >=1, the set of k such that a(k)=m is finite. i.e. if n>=217, a(n)>=3, if n>=263 a(n)>=4, if n>=590 a(n)>=5, if n>=3385 a(n)>=6 ...`
	EXAMPLE	`a(1)=round(1/(sqrt(3)-sqrt(2)))=3`
	CROSSREFS	`Sequence in context: A016558 A090341 A088435 this_sequence A068448 A054081 A050604` `Adjacent sequences: A074973 A074974 A074975 this_sequence A074977 A074978 A074979`
	KEYWORD	`nonn`
	AUTHOR	`Werner Sand (werner.sand(AT)tiscalimail.de) and Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 06 2002`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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