id:A134034 - OEIS Search Results

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Number of primes between n^K and (n+1)^K, where K is 1.647862393566467... and n is an integer greater than 0.

+0
2

2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 3, 3, 1, 3, 1, 2, 3, 2, 4, 1, 2, 4, 1, 4, 3, 1, 4, 1, 3, 2, 4, 3, 1, 4, 3, 4, 3, 3, 2, 2, 3, 3, 4, 3, 4, 3, 4, 2, 3, 4, 3, 2, 5, 2, 4, 4, 3, 3, 4, 3, 5, 3, 5, 4, 4, 1, 4, 4, 4, 3, 4, 6, 3, 2, 2, 3, 7, 3, 6, 2, 5, 4, 7, 2, 3, 5, 5, 3, 4, 3, 5, 4, 3, 3, 6, 5, 3, 5, 6, 3 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`K is the smallest number such that there is always at least one prime between n^K and (n+1)^K for any integer n>0.` `This is not the smallest K. See A143898. [From T. D. Noe (noe(AT)sspectra.com), Sep 04 2008]`
	MATHEMATICA	`k=1.647862393566467; Table[Length[Select[Range[Ceiling[n^k], Floor[(n+1)^k]], PrimeQ]], {n, 150}] [From T. D. Noe (noe(AT)sspectra.com), Sep 04 2008]`
	CROSSREFS	`Cf. A014085, A060715.` `Adjacent sequences: A134031 A134032 A134033 this_sequence A134035 A134036 A134037` `Sequence in context: A088978 A112753 A023589 this_sequence A129765 A054526 A113453`
	KEYWORD	`nonn`
	AUTHOR	`Dmitry Kamenetsky (Dmitry.Kamenetsky(AT)rsise.anu.edu.au), Jan 11 2008`
	EXTENSIONS	`Corrected by T. D. Noe (noe(AT)sspectra.com), Sep 04 2008`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

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