id:A093074 - OEIS Search Results

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Greatest prime factor of n and its direct neighbors.

+0
4

2, 3, 3, 5, 5, 7, 7, 7, 5, 11, 11, 13, 13, 13, 7, 17, 17, 19, 19, 19, 11, 23, 23, 23, 13, 13, 13, 29, 29, 31, 31, 31, 17, 17, 17, 37, 37, 37, 19, 41, 41, 43, 43, 43, 23, 47, 47, 47, 7, 17, 17, 53, 53, 53, 11, 19, 29, 59, 59, 61, 61, 61, 31, 13, 13, 67, 67, 67, 23, 71, 71, 73 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`a(n) = A006530(n + A093075(n));` `a(n) = Max{A006530(n-1), A006530(n), A006530(n+1)}, n>1;` `a(n) = A006530(A007531(n+1)), n>1;` `for all primes p>2: a(p)=a(p-1)=p and if p is not the lesser member of a twin prime pair, then also a(p+1)=p;` `(n,n+2) is a twin prime pair iff a(n-1)=a(n)=n and a(n+1)=a(n+2)=a(n+3)=n+2.`
	CROSSREFS	`Sequence in context: A112823 A074399 A090302 this_sequence A136548 A007917 A151799` `Adjacent sequences: A093071 A093072 A093073 this_sequence A093075 A093076 A093077`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Mar 18 2004`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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