id:A080102 - OEIS Search Results

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Smallest prime power in all composite numbers between n-th prime and next prime, a(n)=1 if no such prime power exists.

+0
3

4, 1, 8, 1, 16, 1, 1, 25, 1, 32, 1, 1, 1, 49, 1, 1, 64, 1, 1, 1, 81, 1, 1, 1, 1, 1, 1, 1, 121, 128, 1, 1, 1, 1, 1, 1, 1, 169, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 243, 256, 1, 1, 1, 1, 1, 1, 289, 1, 1, 1, 1, 1, 1, 343, 1, 1, 1, 361, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; listen)

	OFFSET	`2,1`
	EXAMPLE	`There are two prime powers between 32749=A000040(3512) and 32771=A000040(3513): 32761=181^2 and 32768=2^15, therefore a(3512)=32761, A080103(3512)=32768, and A080101(3512)=2.`
	CROSSREFS	`Cf. A080101, A080103, A025475, A000961.` `Sequence in context: A040019 A019768 A019425 this_sequence A106475 A134829 A130297` `Adjacent sequences: A080099 A080100 A080101 this_sequence A080103 A080104 A080105`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jan 28 2003`

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

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