id:A080361 - OEIS Search Results

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a(n) is the difference between the largest and the smallest positive integers x such that the number of unitary-prime-divisors of x! equals n. Same as the difference between the largest and the smallest positive integers x such that the number of primes in (x/2,x] equals n.

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8, 13, 15, 21, 15, 15, 13, 9, 25, 27, 5, 23, 39, 37, 27, 21, 7, 45, 37, 39, 39, 1, 21, 17, 11, 35, 27, 53, 35, 17, 19, 27, 29, 9, 11, 11, 5, 21, 43, 27, 11, 69, 61, 63, 15, 5, 1, 5, 33, 29, 27, 5, 5, 17, 57, 43, 47, 17, 25, 51, 47, 11, 3, 25, 27, 23, 77, 57, 35, 19, 29, 37, 27, 23, 9 (list; graph; listen)

	OFFSET	`1,1`
	LINKS	`J. Sondow, Ramanujan Prime in MathWorld [From Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Aug 10 2008]`
	FORMULA	`a(n)=Max{x; Pi[x]-Pi[x/2]=n}-Min{x; Pi[x]-Pi[x/2]=n}=A060360[n]-A080359[n].`
	CROSSREFS	`Cf. A056171, A056169, A000720, A000142, A080359, A080360.` `Cf. A104272 Ramanujan primes. [From Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Aug 10 2008]` `Adjacent sequences: A080358 A080359 A080360 this_sequence A080362 A080363 A080364` `Sequence in context: A133192 A063684 A059194 this_sequence A054295 A057486 A129410`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Feb 21 2003`
	EXTENSIONS	`Definition corrected by Jonathan Sondow (jsondow(AT)alumni.princeton.edu), Aug 10 2008`

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Last modified October 15 09:18 EDT 2008. Contains 145015 sequences.

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