id:A073784 - OEIS Search Results

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Number of primes between successive composite numbers.

+0
4

1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0 (list; graph; listen)

	OFFSET	`1,1`
	EXAMPLE	`a(7) = 0 since there are no primes between the 7th and the 8th composites, (14 and 15).`
	MATHEMATICA	`Composite[n_Integer] := FixedPoint[n + PrimePi[ # ] + 1 &, n + PrimePi[n] + 1]; Table[ PrimePi[Composite[n + 1]] - PrimePi[Composite[n]], {n, 105}] (from Robert G. Wilson v Dec 20 2004)`
	CROSSREFS	`a(n) = A073783(n) - 1` `a(n) = A002808(n+1) - A002808(n) - 1` `Also first differences of A073425.` `Sequence in context: A151666 A133081 A125999 this_sequence A128130 A133872 A071026` `Adjacent sequences: A073781 A073782 A073783 this_sequence A073785 A073786 A073787`
	KEYWORD	`easy,nonn`
	AUTHOR	`Lior Manor (lior.manor(AT)gmail.com) Aug 11 2002`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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